Coordinated with Fredrik

The Thermodynamic Ledger

44 min · 25 de may de 2026
portada del episodio The Thermodynamic Ledger

Descripción

There is a glass of water on a kitchen counter. An ice cube floats in it, slowly melting. It is the most ordinary scene a kitchen can produce. And inside it is hiding nearly the entire thermodynamic worldview that runs civilization. Watch the ice cube. Where is the energy coming from to melt it? Not a flame. Not a battery. From the air. Room-temperature air you would not even call warm. Why is it melting? Not because anyone is doing work. Because there is a temperature difference. The ice is at 0°C. The air is at 20°C. The difference is allowed to fall, and the fall is the melting. When the cube has fully melted, has anything been lost? The first law of thermodynamics says no. Every joule is still there, redistributed. The books balance perfectly. But something has happened. Something is gone, and will not come back without a refrigerator running somewhere. What is gone is the temperature difference itself. And it was the difference, not the energy, that made the melting possible. This episode is about that strange fact. The universe doesn’t run on energy. It runs on differences. And the differences are slowly leveling out — slowly here, quickly there, but always in one direction. That direction is what we call time. That direction is why anything ever happens at all. Energy Is a Language, Not a Substance We talk about energy as if it were stuff. We store it, use it, waste it. The grammar is intuitive and a little bit wrong. Here is a fact that surprised me when I thought about it carefully. The concept of energy is much younger than you would guess. The quantitative concept — the number you can write down on paper and trust to balance — is a nineteenth-century invention. Aristotle had a word, energeia, but it meant something philosophical, not measurable. For two thousand years no one had the unifying number. It arrives almost at once in the 1840s. Julius Robert Mayer publishes the first quantitative statement in 1842, after noticing that the venous blood of sailors in the tropics looks redder than at home. James Prescott Joule spends the decade measuring how much mechanical motion warms how much water by how much. His best value for the mechanical equivalent of heat — 4.159 joules per calorie by 1850 — was within one percent of the modern value. Hermann von Helmholtz publishes the universal synthesis in 1847. Ludvig Colding gets there independently in Denmark. So does William Rankine. The first law of thermodynamics has no single discoverer. It has a moment, when several thinkers looked up from different problems and realized they had been measuring the same thing all along. What they had measured was the number that doesn’t change when one form of motion turns into another. A weight falls, a paddle turns, water warms. Different appearances, same balance. For seventy years, that was where the concept sat. The books balanced, and nobody knew exactly why. Maxwell, in his 1871 Theory of Heat and his 1873 Treatise on Electricity and Magnetism, worked through the relationships between forms of energy without ever claiming to know why the underlying number was conserved. He treated it the way we treat pi — a constant of the universe whose value you accept and whose origin you don’t ask after. The deep answer arrived in 1918, in Göttingen, by a mathematician who was almost not allowed to lecture. Emmy Noether was repeatedly denied a faculty position because she was a woman, and lectured for years under Hilbert’s name as a workaround. While doing that, she proved a theorem connecting the deepest structure of physical law to the existence of conserved quantities. The theorem says: every continuous symmetry of the laws of physics corresponds to a conserved quantity. If the laws don’t depend on direction, angular momentum is conserved. If they don’t depend on where you are, linear momentum is conserved. And if the laws of physics don’t depend on when you are — if tomorrow’s physics is the same as today’s — then energy is conserved. That is what energy is. It is the quantity that has to be conserved because the universe is temporally consistent. Conservation of energy is not the statement that there is a substance hoarded somewhere. It is the statement that the rules don’t shift on us. Energy is what’s protected by the fact that physics is something you can trust to keep being itself. That makes it abstract. It does not make it weak. It is one of the most powerful concepts humans have ever discovered, precisely because it is forced on us by the structure of reality. Gradients Are the Real Currency So if energy is conserved because the laws don’t change — why is anything happening? Because conservation doesn’t mean stasis. The universe is not at equilibrium. It is full of differences. Pockets of hot next to cold. Concentrations next to dilutions. Heights above lows. Charges separated from neutralities. Pressures bearing against vacuums. Chemical bonds that would prefer to be other chemical bonds. Differences want to fall. The second law of thermodynamics is exactly that: any difference left to itself will tend to even out. Ice melts. Coffee cools. Mountains erode. Stars burn. The universe is going somewhere, and that somewhere is the slow leveling of all its differences. What nature actually gives us is not joules. Joules are how we count what happened after the fact. What nature gives us is differences. The technical name for “useful work potential locked into a difference relative to a surrounding environment” is exergy. The word itself was coined in 1956 by the Slovenian engineer Zoran Rant, who wanted a single word in German for what physicists had been clumsily calling “available energy” or “free work.” Sadi Carnot, in 1824, worked entirely inside a wrong picture of heat — caloric theory, heat as an invisible fluid — and still extracted one of the most durable insights in physics. He asked: what is the absolute maximum work you can extract from a heat engine? His answer was that the ceiling depends only on the temperatures involved, not on the working fluid or the engine design. The Carnot fraction — (T_hot − T_cold)/T_hot, measured on the absolute scale — is the universal exergy formula for thermal gradients. Steam at 500 K against a 290 K environment: ceiling 42%. Steam at 1000 K: 71%. Lukewarm heat at 295 K: less than 2%. The substance picture was wrong. The gradient picture was right. Three joules. All rated the same on the first-law ledger. All wildly different in what they can still do: * One joule of electricity. Almost pure exergy. Can become work, motion, light, computation, or heat at any temperature. * One joule of warmth in the air around you, at the same temperature as the air around you. Almost zero exergy. There is no fall left. * One joule of 800°C industrial steam. Enormous exergy. About 73% still usable. Same number on the energy ledger. Wildly different ability to make anything happen. A few analogies. A permanent magnet on a refrigerator door has been holding itself in place for thirty years. Where does it get the energy? Trick question. Holding does not cost energy. Energy is paid for change, not for being in a state. Static equilibrium is free. Change is expensive. A mechanical wristwatch is wound with a tightly coiled spring. The watch ticks because that tension is allowed to fall, slowly, controlled by an escapement. The watch doesn’t use energy. It spends a gradient on time. When the spring is fully unwound, the energy is still there — in the springsteel, at room temperature, indistinguishable from any other warm metal. The gradient is gone. A cargo train rolls down a long incline and powers a generator. By the time it reaches the bottom, the train, the cargo, the mass are all still there. The joules are accounted for — in electrical output, friction heat, brake squeal. What is gone is the height difference. That difference was the only thing that ever mattered. The train was incidental. The joules are bookkeeping. The fall was the event. When you pay your electricity bill, you are not paying for joules. You are paying for gradients delivered to your home in a controllable form. A high-voltage transmission line is a maintained electrical gradient — voltage is electrical altitude. Your refrigerator preserves a thermal gradient at the cost of a smaller electrical one falling through its compressor. Your heat pump takes a tiny temperature difference between outdoor air and refrigerant and amplifies it into the much larger difference between outside and your living room. None of these machines make energy. They rearrange which gradients fall where. We don’t run out of energy. We run out of gradients. Life Is What Happens When a Gradient Falls Slowly Now widen the frame. Earth is a planet sitting between two gradients. The Sun radiates at a surface temperature of about 5,800 K — hotter than any flame humans have ever built. Deep space — the cosmic microwave background, the residual heat of the Big Bang — sits at about 2.7 K. Earth’s surface, at about 290 K, is in the middle. Warmed by an enormously hot source. Cooled by a cosmologically cold sink. That gradient is the entire energy budget of life on Earth. The Sun does not give Earth energy in any net sense. Earth absorbs and re-radiates roughly the same amount it receives. What the Sun gives is high-quality energy in — concentrated, ordered photons from a 5,800-degree source — and Earth gives low-quality energy out — diffuse infrared photons radiated to a 3 K sky. That quality difference, that downhill flow of exergy, is what runs everything. Every leaf, every cell, every weather system, every river, every economy. Photosynthesis is the first user. A leaf takes high-exergy sunlight and uses it to push electrons up a chemical hill, storing the difference as sugar. Every animal that eats that sugar is eating stored solar exergy. Every fossil fuel we burn is a solar gradient from hundreds of millions of years ago, packed into a rock. In 1944, Erwin Schrödinger — a physicist by training, Nobel laureate for the wave equation — gave a series of lectures in Dublin that became a strange little book called What Is Life?. It famously influenced Watson and Crick on their way to DNA. Schrödinger’s central question was thermodynamic: how does a living organism resist the second law? Why doesn’t a cell just dissolve into equilibrium the way a sugar cube dissolves into tea? His answer: an organism stays alive by feeding on what he called negative entropy. His successors would call it exergy. Same idea. The organism takes in high-exergy food and excretes low-exergy waste. A living thing is a structure that maintains itself by continuously letting differences fall through it. Ilya Prigogine, a Belgian chemist who won the Nobel Prize in 1977, carried this further. He studied what he called dissipative structures: patterns of organization that arise spontaneously in systems far from equilibrium, sustained by a steady flow of energy through them. A whirlpool in a draining sink. The hexagonal Bénard cells of convection in a heated pan of oil. The bands on Jupiter. The structure of a hurricane. A candle flame. A living cell. All temporary order, paid for by a gradient falling through. This is what life is, thermodynamically. A dissipative structure. A pattern of order that exists because energy is flowing through it. A cell is a tiny engine running a chemical gradient. A muscle contraction is the controlled fall of a molecular difference. A neuron firing is a brief electrical gradient collapsing across a controlled aperture. A heartbeat is a calcium gradient and an electrical gradient and a pressure gradient, falling in coordinated sequence. You, reading this, are a localized, controlled gradient-burning event. Every cell in your body is letting little differences fall, harvesting some of the fall as the work it needs to keep being a cell. That is not poetic. That is anatomical. When you die, the differences will be allowed to equilibrate. The chemical gradients flatten. The membrane potentials collapse. The dissipative structure that has been you for several decades dissolves back into the surrounding chemistry. The atoms that were you become continuous with the chair you were sitting in, the air you were breathing. This is not nihilistic. It is the opposite. The fact that you exist at all is the fact that the universe has gradients in it, and you are one of the more interesting things they make on their way down. The Civilization Number You can do this same accounting at the scale of an entire economy. Paul Brockway and his colleagues at the University of Leeds spent over a decade building a database — country by country, year by year — tracking how much of the useful work potential we mine, drill, and harvest actually ends up doing something we wanted, versus how much dissipates into low-grade heat along the way. The headline number for civilization in 2020 is 16 percent. We were at 12 percent in 1971. Half a century of energy efficiency policy moved the global number four percentage points. Four points in fifty years is not nothing. It is real engineering effort, and real progress. But it tells you how hard the problem is, and how far the ceiling sits above the floor. Roughly 84 percent of the useful exergy we extract from the planet each year is destroyed before it serves anyone. Burnt off in flames hotter than they needed to be. Lost in friction. Throttled in valves. Radiated as heat from wires that were supposed to be carrying electricity. Most of what we call “energy use” is not use. It is leakage on the way to use. Carnot comes back here. A condensing gas boiler is rated at 95% energy efficiency. It is roughly 10% exergy efficiency. The reason is in Carnot’s formula: you are burning methane in a flame at 1,500°C to heat a living room at 20°C. The thermodynamic ceiling on what you could have done with that flame, properly used, was many times what you got out of it. A heat pump, by contrast, uses a small high-quality input (electricity) to redirect a large low-quality flow (warmth from outdoor air). That’s why it delivers four units of warmth per unit of electricity. It matches the quality of supply to the quality of demand. Cullen and Allwood at Cambridge ran a similar exercise a different way and got 11% global fuel-to-service exergy efficiency. The brackets are tight. Whichever boundary you choose, roughly nine-tenths of what we extract is destroyed before it does any service we actually wanted. That gap is the energy transition. Not the swap of one fuel for another. The slow closing of the gap between what we extract and what actually serves us. The Cost of Knowing There is one more layer worth naming. In December 1867, Maxwell wrote a letter to his friend Peter Tait describing a thought experiment: a being so small and so fast it can sort individual molecules. Let it operate a tiny gate, letting fast molecules pass one way and slow ones the other. Without doing any work, it could build a temperature gradient out of nothing. The second law of thermodynamics, apparently violated. Maxwell didn’t claim the second law could be broken. He was making a subtler point: the law is statistical. It lives at the level of averages. And statistical laws, in principle, can be questioned by clever sorting. For a century the demon was a paradox. The resolution came in two pieces. Rolf Landauer, at IBM in 1961, proved that erasing one bit of information in a thermal environment at temperature T must dissipate at least k_B T ln 2 of heat. At room temperature, about 2.87 × 10⁻²¹ joules. Per bit. Erased. Then Charles Bennett, in 1982, finished the demon’s story. The demon works exactly as Maxwell described. The measurement is reversible. The sorting is reversible. But for the demon to operate over many cycles, it must forget — it must erase its memory of which molecules it has already sorted. That is where the missing entropy lives. The entropy the demon appears to remove from the gas is paid by the demon at the moment of erasure. Measurement can be reversible. Erasure cannot. The Landauer bound has been measured. Bérut and colleagues, in Nature in 2012, watched a single colloidal particle in a precisely controlled optical trap and observed the predicted heat dissipation when its bit-state was erased. The universe really does charge for forgetting. The bound is tiny. The interesting number is how far above it we operate. A modern silicon transistor switching state dissipates roughly 10⁻¹⁵ joules — about a million times more than physics requires. Most of the energy our computers spend is not the cost of thinking. It is the cost of doing it the way we currently do. Every act of sorting, deciding, choosing, remembering, forgetting — every bit set or cleared, in a brain, in a chip, in a market, in a hurricane that erases yesterday’s pressure pattern — pays. There is no free choice. Even Maxwell’s demon, who looked for a century like he was getting away with something, was just hiding the bill in his notebook. The universe finds the bill in the end. Back to the Kitchen We started at a kitchen counter. The cube is smaller now. The water is a little fuller. The room is unchanged. Nothing was created or destroyed. Every joule is exactly where the first law — protected by Noether, conserved because the laws don’t change with time — says it should be. The books balance. They have to balance. The structure of physics requires it. But something is leaving. The exergy. The work potential the difference represented. When the cube has fully equilibrated with the room, the books still balance, but the system has lost a small piece of the capacity to make anything else happen. You will never get that exergy back unless somewhere, in some machine, a refrigerator runs at a cost — and that cost will be paid by some other gradient, somewhere else, falling. Maybe a power plant burning fuel. Maybe a wind turbine catching a pressure gradient in the atmosphere. Maybe a solar panel absorbing the Sun’s quality difference with the cold sky. Somewhere, something is falling, so that something here can be lifted. This is what is happening, all the time, everywhere. The universe is full of differences left over from its violent first moments. Stars. Planetary gradients. Chemical disequilibria. Gravitational drops. Slowly, the differences are leveling. Quickly, in some local regions — a star core, a leaf, a turbine, a kitchen counter on a Tuesday afternoon — the differences are being directed through structures that extract some change before allowing them to fall. We are one of those structures. Key Takeaways * Energy is not a substance. It is a quantity protected by the constancy of the laws of physics — what Noether showed in 1918. * The concept of energy is younger than the steam engine that needed it. It was assembled by several thinkers in the 1840s, almost simultaneously. * What nature actually offers is not joules. It is differences — temperature gradients, pressure gradients, chemical gradients, electrical gradients. Joules are bookkeeping. * Holding doesn’t cost energy. Change does. Static equilibrium is free. * A joule of electricity and a joule of room-temperature warmth balance the same on the energy ledger, and are radically different in what they can still do. That difference is exergy. * Carnot’s formula — the maximum fraction of heat that can become work — is the universal exergy formula for thermal gradients. * Earth sits between a 5,800 K source and a 3 K sink. That gradient is the budget for life. * Life is a dissipative structure: temporary order, paid for by a gradient falling through. You are a localized, controlled gradient-burning event. So is every cell in your body. * Civilization destroys roughly 84 percent of the useful work potential it extracts before serving anyone. Closing that gap is what the energy transition actually means. * Even information has a thermodynamic cost. Measurement can be reversible. Erasure cannot. The universe charges for forgetting. The universe doesn’t possess energy. We don’t possess energy. We are one of the more elaborate things that differences do on their way down. And for as long as that lasts, we can choose which differences fall, and what they make on the way. Full transcript available below the audio player. This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit frahlg.substack.com [https://frahlg.substack.com?utm_medium=podcast&utm_campaign=CTA_1]

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episode Burning Forward artwork

Burning Forward

You will take roughly six hundred million breaths in your lifetime. Most of them you will not notice. You are taking one right now. The breath is happening. You did not start it. You are not finishing it. It is something the body does, automatically, to keep itself out of equilibrium with the air around it. In plain physics, a breath is an energy exchange — oxygen in, carbon dioxide out. The chemical gradient that runs every cell in your body is sustained by this exchange. A breath is a microscopic act of dissipation. One small cycle of the same arrow that has been pointing in one direction since the Big Bang. In Stoic practice, the breath is the first object of attention. The Greek word is prosoche. To pay attention. The Stoics began here because the breath is the only thing that is always with you, always now, always under at least some part of your control. We say “time is running out.” We say “life is short.” We act as if time were a substance, like water in a glass, slowly draining. The physics says otherwise. There is no substance to run out. There is a pattern dissipating, as such patterns do. That pattern is what we call a life, and each breath is one local moment of it. Time is not running out. Time is what we are. That sentence is the working thesis of this episode. Given it, the question becomes operational rather than existential. What is a breath for? What is a day for? What is a life for? Not philosophically — practically. You are doing it now. What is it doing? Three sources help answer that. The physics of dissipative structures, which says what we are. Two thousand years of Stoic practice, which says how to bear it at the personal scale. And the newer accelerationist intuition, which says civilizations are dissipative structures too, and asks what to do at the species scale. Taken together they point to a single position. I call it accelerated equanimity. Brådska utan panik. Handling utan grepp. Dödligheten som bränsle, inte ankare. Urgency without panic. Action without grasping. Mortality as fuel, not as anchor. Acceleration is the universe’s hand. Equanimity is yours. We Are Time The laws of physics, almost all of them, are time-reversible. Newton’s equations, Maxwell’s equations, Schrödinger’s wave equation, Einstein’s field equations. You can run any of them backward on paper and they still work. The asymmetry between past and future does not live in the equations of physics. There is one exception. The Second Law of thermodynamics. Entropy increases. The British astrophysicist Arthur Eddington named it the arrow of time in 1928, in his book The Nature of the Physical World. A century later, the Second Law is still the only arrow physics gives us. Now a technical point that turns out to matter. Statistical mechanics by itself predicts entropy increase in both temporal directions from any given moment. The arrow is not given by the equations alone. The asymmetry is supplied by a cosmological posit: the universe began in an extraordinarily low-entropy state. The philosophers David Albert and Barry Loewer call this the Past Hypothesis. The arrow points away from that initial state. Not toward anything. Away from something. Roger Penrose estimated the specialness of that initial state at one in ten to the ten to the one hundred twenty-third — a number so large it cannot be written in standard notation. The universe began ordered to a degree we have no physical explanation for. Every breath you take is downstream of that unexplained beginning. Carlo Rovelli takes this further. In The Order of Time (2017) he argues that time is not fundamental — it emerges from the entropy gradient combined with our macroscopic, coarse-grained perspective. His term is thermal time: a function of the blurring imposed by being embedded, dissipating observers. We perceive time because we cannot see all the molecules. The blurring is where time lives. Here is the anatomy of the thesis. Memory is an entropy artifact — making a record requires a low-entropy ready state (a blank page, an unmagnetized tape, an unfired neuron). Agency is an entropy artifact — we manipulate causes to get effects, never the other way. The very category of now is an entropy artifact: the fact that you are an embedded observer who can ask “what time is it?” requires the universe to be away from equilibrium. At thermal equilibrium there is no remembering subject. There is no agency. There is no breath. There is no you. In the closing chapter of The Order of Time, Rovelli writes a sentence that is almost our thesis verbatim: We are stories, contained within the twenty complicated centimeters behind our eyes, lines drawn by traces left by the mingling together of things in the world, and oriented toward predicting events in the future, toward the direction of increasing entropy, in a rather particular corner of this immense, chaotic universe. We are not in time. We are of time. We are local patterns in the direction the universe moves as it equilibrates. Memory, choice, breath — all of them are the arrow at human scale. This is a defensible mainstream position, not consensus. Lee Smolin argues that time is fundamental, the future open in a stronger sense. Tim Maudlin argues that passage is metaphysically primitive. The working frame here is the thermodynamic-time view because it is the strongest physical story we have. If Smolin is right, the practice on the other side of it changes very little. The previous episode, EP091, established the immediate consequence: life is a dissipative structure, temporary order paid for by a gradient falling through. Jeremy England extended Prigogine with a precise mathematical bound: in driven non-equilibrium systems, configurations reached via histories of greater work absorption and dissipation are statistically more likely. The conservative reading — life-like organization is one of the things matter can do under sustained energy flow — is enough for the rest of this argument. The Stoic Reading Given that we are time, the most basic question reasserts itself. What is a human life for? The Stoics asked this harder and clearer than almost anyone since, and they asked it under load. Marcus Aurelius asked it on the Danube during plague. Seneca asked it in a court that would eventually kill him. Epictetus asked it from inside slavery. None of them were academics. All of them wrote operationally. Marcus Aurelius, Meditations 4.17 (Hammond): Do not act as if you had ten thousand years to live. The doom hangs over you. While you live, while you can, become good. Meditations 4.43: Time is a river of all created things, and a violent stream. As soon as a thing has been seen, it is carried away, and another comes in its place, and will be carried away too. Marcus’s metaphor of the river of time is the closest classical analogue to Rovelli’s thermal time. He is not lamenting. He is describing — sitting in a military camp on the edge of a war he is losing, watching the river move, writing it down. Seneca, De Brevitate Vitae: It is not that we have a short time to live, but that we waste a lot of it. In Latin: non exiguum temporis habemus, sed multum perdidimus. The verb perdidimus — we have squandered, destroyed, lost — is sharper than “waste.” Seneca is precise. The life isn’t short. We destroy most of it. The rhetorical center of the Stoic case is Seneca’s first letter to Lucilius, on saving time. From the Graver and Long translation (2015): Do that, my Lucilius. Lay claim to your own self. Gather and save the time that until now was being taken from you, or was stolen from you, or that slipped away. Look closely, and you will see that even when we are doing our best, a large part of life slips away from us when we are doing badly, the greatest part when we are doing nothing, and the whole of life when we are doing something else. Whom can you show me who sets any value on his time, who reckons the worth of each day, who realizes that he is dying daily? For this is our mistake. We think death lies ahead, when most of it is already behind us. Nothing, Lucilius, is ours, except time. In Latin: Omnia, Lucili, aliena sunt, tempus tantum nostrum est. Everything else is borrowed. Only time is ours. This is our thesis in classical form, two thousand years early. Seneca did not have the physics. He had the structural insight without the equations. Epictetus, Enchiridion 8 (Hard): Do not seek to have events happen as you want them to, but instead want them to happen as they do happen, and your life will go well. This is amor fati in its earliest and sharpest form — love of fate, acceptance of what is. Critically: this is not quietism. The Stoic dichotomy of control (some things are in our power, others are not) is not a sedative. It is a workload allocator. Spend cycles on what is yours. Do not spend cycles on what is not. Marcus ran an empire. Seneca governed at court. Epictetus, born in chains, taught philosophy to senators. The dichotomy tells you where to spend cycles, not to spend none. A deeper point worth naming: the Stoics held that only the present moment exists actually. Past and future, in their account, subsist but are not concrete. Chrysippus argued no time is wholly present — every now is divisible into past-and-future portions. The strictly present is a limit, not a duration. That is a philosophical rhyme with Rovelli’s thermal time. Not a derivation. Not the same physics. The Stoics arrived at a structurally similar position twenty-two centuries before anyone could write down the equations. For the Stoics, to live in accord with nature meant aligning one’s reason with the cosmic logos — the rational principle that orders the universe. They did not separate physics from ethics. Logos was both. I want to be honest here. This is what the Stoics historically thought. It is not a refutation of David Hume’s eighteenth-century objection that you cannot derive an ought from an is. Hume’s gap is a logical point, not a historical one. We do not get to skip past Hume just because the Stoics never accepted his separation. The episode’s actual answer to Hume comes later, in the synthesis, and it is Bernard Williams’s answer, not Chrysippus’s. The practice. Pierre Hadot, in Philosophy as a Way of Life (1995), recovered Stoicism as a set of daily spiritual exercises. Three of them anchor this episode: * Prosoche — attention to the present moment. The act we began with, on the breath. * Morning preparation — before the day begins, rehearse the day’s likely difficulties and your principles. What is mine to do today? What is not mine? * Evening examination — after the day ends, review it. Where did you spend cycles on what was not yours? Seneca describes lying in bed running the day back through. The next day’s preparation comes from the previous day’s examination. Two thousand years old. Still works. The Accelerationist Reading The personal scale is one reading of the same physics. There is another scale on which the same physics has implications. Being honest about what we are means being honest at every scale. Stoicism asks what a single human should do with a single day. A different tradition asks what an entire species should do with the time it has. That tradition is younger, less well-developed, more contested. It also might be right. The bridge is the same dissipative-structure logic from EP091, applied at scale. Cells. Organisms. Ecosystems. Civilizations. Each is a dissipative structure at its level. Each maintains itself by directing the entropy gradient that runs through it. Last episode said you are one. This episode says a species is one too, at a different scale. Start with the cleanest part of the accelerationist program, which is also the least handwavy part. Guillaume Verdon is a physicist, formerly at Google’s quantum AI team. He founded Extropic in 2022, emerged from stealth in March 2024 with $14.1M from Kindred Ventures. They are building probabilistic thermodynamic computing hardware — supercooled Josephson junctions that exploit natural thermal noise instead of fighting it. The argument: digital computation fights physics. You spend energy to suppress thermal noise into clean ones and zeros. Nature already computes via thermodynamics. Proteins fold, neurons fire, ecosystems adapt — none of these systems pay the cost of suppressing noise into clean bits. They use the noise. They compute with it. Build machines that compute the way the universe computes. Extropic claims roughly 10,000× the efficiency of GPUs for a specific class of workloads called energy-based generative models — models where the answer is the configuration the system settles into when you let it run, rather than the output of an explicit calculation. If even a fraction of that holds up, the implications for AI energy use are large. This is a falsifiable engineering bet. Whether or not the universe “wants” more entropy production is a separate question. Whether noise-native probabilistic hardware is more efficient for certain workloads is a concrete empirical claim. You can verify it on a benchtop. Now the philosophy. Verdon, writing pseudonymously as Beff Jezos, co-authored with the pseudonymous Bayeslord the canonical text of effective accelerationism. Published in July 2022 on Substack as “Notes on E/acc Principles and Tenets” [https://beff.substack.com/p/notes-on-eacc-principles-and-tenets]. His identity behind the pseudonym was revealed by Forbes in December 2023. The thermodynamic claim is e/acc’s reading of Jeremy England’s dissipative-adaptation work. The load-bearing line: The universe exponentially favors futures where matter has adapted itself to capture more free energy and convert it to more entropy. And the normative move: Stop fighting the thermodynamic will of the universe. You cannot stop the acceleration. Here I want to draw the is/ought line very carefully, because it is where most of the disagreement actually lives. Jeremy England’s physics is descriptive. His papers derive a bound. They do not say the universe wants more dissipation. They do not say acceleration is good. England himself is an Orthodox rabbi who has explicitly distanced himself from secular accelerationist appropriation of his work. He frames the physics as compatible with meaning, not as a substitute for meaning derived from outside physics. What the physics gives us is this: we are dissipative structures, and this is what such structures do. The leap from “this is what we are” to “therefore accelerate” is an additional ethical move — made by us, on top of the physics. Not a derivation. A choice. We have to own it as a choice. The lineage in one sentence: e/acc inherits its structure from Nick Land’s 1990s concept of teleoplexy, with the gothic stripped out. Land had cybernetic-libidinal metaphors. Verdon has Jeremy England’s physics. The argument moves from poetry to equations, but the underlying shape is similar. Two thinkers reach a similar civilizational ambition without invoking thermodynamics at all. David Deutsch, in The Beginning of Infinity (2011), argues that humans are universal explainers. The laws of physics permit indefinite progress. There is no in-principle ceiling on what minds embedded in matter can do. Problems are soluble. Pessimism is a failure of imagination. Cancer, fusion, alignment, aging — none of them are excluded by the laws of physics. They are excluded only by the absence of explanations we have not yet generated. Tyler Cowen, in Stubborn Attachments (2018), argues from population ethics. Because future people matter equally and there are many more of them, sustainable long-run growth dominates almost every other moral consideration. Two percent annual growth versus zero percent, compounded across a century, is not a difference of 2%. It is a difference of seven times the standard of living, sustained, for every person alive. The math is overwhelming. Compound the future, because that is where almost everyone is. A crucial qualification. Karl Schroeder argued in The Deepening Paradox that mature dissipative structures approach efficiency, not maximum throughput. The thermodynamically mature civilization is the one whose grid moves more per joule, not the one with the largest joule throughput. Capability per unit dissipation. Not dissipation. The mature dissipative structure burns more cleanly, not louder. This complicates simple “accelerate” framing. And then there is the alignment problem, which deserves to be named directly. An unaligned superintelligence pursuing the wrong objective is not high-complexity dissipation. It is high-entropy collapse. A paperclip-maximizer universe is high-entropy and low-complexity at the same time. Most high-entropy futures are boring. Most high-entropy futures contain no observers. The futures we care about are a small subset of the futures the physics permits. This is not a separate concern from acceleration. It is the constraint that determines whether acceleration produces complexity or collapse. Acceleration without steering is combustion. Which brings us to where Stoicism does the real philosophical work on top of accelerationism. The civilizational frame gives us what to aim at: more pattern, more capability, more of the lightcone touched by intelligence. The Stoic frame gives us how to bear the not-yet. Acceleration is the universe’s hand. The waiting, the failure modes, the personal cost of building under load — that is yours. Build like the future depends on it. Do not let the building depend on the future. Burning Forward Physics says we are dissipative structures. Stoicism reads that at the personal scale and gives a daily practice. The accelerationist tradition reads the same physics at the civilizational scale and gives a long-horizon project. The two readings are not at war. They are the same physics asked at different scales. The synthesis position has a name. Accelerated equanimity. This is not “build now, rest later.” It is not “be present at home, accelerate at work.” It is not a balance between two modes. The two postures are simultaneous. That is the discovery the historical exemplars confirm. None of them sequenced these. All of them held them together. Marcus Aurelius wrote the Meditations in field tents while running an empire of fifty million during a plague. Not a journal of retreat — a working notebook in the same hand that signed legal reforms, prosecuted frontier wars, and managed an extractive economy under existential pressure. The Meditations and the empire were not two projects. He also presided over the persecutions at Lyon during his reign, devalued the silver denarius to pay for the wars, and bequeathed the throne to his catastrophic son Commodus. The synthesis is not virtue. It is posture under physics. Norman Borlaug spent six decades walking wheat fields in Sonora and the Punjab. His semi-dwarf high-yield wheat averted famine for an estimated several hundred million to a billion people. He lived modestly in Mexico City. His 1970 Nobel lecture was titled The Green Revolution, Peace, and Humanity — and he framed the wheat work explicitly as a holding action, a way to buy thirty or forty years against the population problem. Not a solution. He also presided over real ecological costs — groundwater depletion in the Punjab, smallholder displacement, dependence on inputs the poorest farmers could not afford. He was dismissive of organic agriculture, sometimes contemptuously so. Real. Not idealized. Richard Feynman drove from Los Alamos to Albuquerque to be with his first wife Arline on the night she died. Then drove back to Los Alamos to keep working on the bomb. Two years later he wrote her a letter ending: “I love my wife. My wife is dead.” The equanimity of his own death decades later was the same posture: “I’d hate to die twice. It’s so boring.” Maximum intensity on problems he found interesting. Refusal of the social machinery around science. The acceleration and the equanimity were one person. His treatment of women was, by any standard, bad. One posture, one life, with its real costs. Steve Jobs, Stanford 2005, twenty months after his cancer diagnosis: For the past 33 years, I have looked in the mirror every morning and asked myself: if today were the last day of my life, would I want to do what I am about to do today? And whenever the answer has been no for too many days in a row, I know I need to change something. The second-act Apple comeback was the most acceleration-per-year of any consumer-tech company in history, run by someone increasingly aware he was dying. He also delayed conventional treatment for nine months on a diagnosis where time mattered. He could be cruel to subordinates as a documented practice. He denied paternity of his daughter Lisa from her birth in 1978 until well into the 1980s, even as her mother lived on welfare. Built like he had no time. Acted, on his own body and relationships, like he had all of it. Yvon Chouinard, September 14, 2022: transferred Patagonia to the Patagonia Purpose Trust and the Holdfast Collective. “Earth is now our only shareholder.” Pioneered clean climbing in 1972 by phasing out his own bestselling pitons because they damaged rock. Switched Patagonia’s entire cotton supply to organic in 1996. Ran the “Don’t Buy This Jacket” ad on Black Friday 2011. The exit was structurally the cleanest available form of not grasping. It was also tax-efficient — the transfer structure avoided an estimated $700M in capital-gains and estate tax. The structure has its critics. Real climate work is not done by holding companies. Patagonia is still a clothing brand. Even the cleanest move is morally textured. Built like the company would outlive him by a century. Held the ownership like he would lose it tomorrow. Five exemplars. Five different centuries. Five different domains. The same shape. Five recurring features: * The two postures are simultaneous, not sequenced. Nobody did the acceleration first and the equanimity later, or the other way around. The synthesis is one motion. * The discipline is operational, not aesthetic. Procedure under load. Not retreat to a study. * Outcome is held genuinely loose. Marcus failed his succession. Borlaug calls his life’s work temporary. Feynman calls death boring. The position is not justified by the outcome — it is justified by the present rightness of the act. * Each one is morally complicated. Each had people they failed. Each had blind spots they did not close. The synthesis is not virtue. It is posture under physics. * Mortality is treated as data, not drama. A constraint that clarifies the problem. Not a wound that requires processing. The Practice What does the synthesis actually look like in operation? Three nested loops, each running at its own cadence. The smallest loop is the breath. Prosoche. Attention to the present moment. The act of noticing that you are noticing. Hadot’s first spiritual exercise. Csikszentmihalyi’s flow at its base case. This breath, now. That is the loop that runs every second of every day, when you remember to run it. Most of us don’t, most of the time. That is fine. The practice is the noticing, not the perfection. The middle loop is the day. Hadot’s morning preparation and evening examination. What is the work that is mine today? What is the load that is not mine? In practice, morning preparation is fifteen minutes with a notebook and the calendar — the work that is yours, the interruptions you can already see coming that are not yours, the one decision you have been postponing because it is uncomfortable. Naming the difficulty in advance is the practice. The practice does not make the difficulty smaller. It makes you ready for it. The outer loop is the decade. The project. The building. What would I want to have shipped, contributed, made possible, in the next ten years if I knew this was the time I had? What is the largest pattern I can direct on the way down? Cowen would say: compound. Deutsch would say: explain. Verdon would say: build hardware that respects the substrate. All three are saying the same thing at the decade scale. Build like the future depends on it. Do not let the building depend on the future. The Honest Move I want to be honest about what this position is, philosophically. This is a posture, reflectively endorsed. Not a derivation from physics. Physics describes. We endorse. The endorsement is the ethical act, not the physics. The British philosopher Bernard Williams argued that ethical reasons only have grip on you if they connect to what you already care about — he called these internal reasons. Alasdair MacIntyre argued that a life only adds up if its acts belong to a coherent story — he called it narrative ethics. The episode is in that lineage. Not in the position that physics dictates ethics. Hume’s gap stays open. We just decide which side of it to stand on, knowing what we are. One more honest note. As far as I can find, no one has put these four corners together in print before — Rovelli’s thermal time, England’s dissipative physics, Stoic prosoche, and Deutsch’s universal explainers, joined into a single position. That may be because the synthesis is wrong. It may be because it is too obvious to write down. This episode is the bet that it is neither. The civilizational-scale dissipative structures of the previous section are not abstract for the person writing this. The grid is one of them. That is all that needs saying. Back to the Breath We started with a breath. We end here. Nothing has changed about the scene. Everything has changed about what we see in it. The breath that is happening right now is one of about six hundred million. Most of them will not be noticed. This one, the one happening as you read this sentence, is. A breath is a microscopic dissipative event in a structure called you, which is a dissipative event in a planet, which is a dissipative event in a galaxy, which is a dissipative event in a universe equilibrating from the Past Hypothesis. The same physics at every level. The arrow points in one direction at every scale. None of it is running out. There is no substance to run out. What we call running out is a local pattern dissipating, as such patterns do. Each breath is one cycle. Each thought is. Each day is. Each decade is. The entire pattern that is you is. Omnia, Lucili, aliena sunt, tempus tantum nostrum est. Everything else is borrowed. Only time is ours. Seneca wrote that two thousand years before Rovelli, before Eddington, before the Past Hypothesis had a name. He did not have the physics. He had the structural insight. The practice. Presence at the personal scale. Building at the civilizational scale. Outcome held loose at both. Burning forward. With attention. We don’t have time. We are time. And for as long as this pattern lasts — for these six hundred million breaths, more or less, most of them unnoticed — the practice is the same at every scale. Three lines. One for each scale. Pay attention to what is yours. Build what you can. Hold the outcome loose. For as long as this pattern lasts. Key Takeaways * Time is not running out. Time is what we are. We are dissipative structures — local patterns in the direction the universe moves as it equilibrates. Memory, agency, “now” are all entropy artifacts. * The Past Hypothesis is what makes the arrow of time directional. The universe began in an extraordinarily low-entropy state (Penrose: 1 in 10^(10^123) specialness). Everything since has been leveling. * Stoicism is the personal-scale ethic of a dissipative structure. Marcus, Seneca, Epictetus, Hadot. The dichotomy of control is not quietism — it is a workload allocator. Spend cycles on what is yours. Do not spend cycles on what is not. * The accelerationist tradition is the civilizational-scale ethic of a dissipative structure. Verdon, Deutsch, Cowen. Build, expand, extend the pattern — with steering. Acceleration without steering is combustion. * The two ethics are not at war. They are the same physics at different scales. Accelerated equanimity is the synthesis: urgency without panic, action without grasping, mortality as fuel. * The two postures are simultaneous, not sequenced. Marcus on campaign. Feynman at Arline’s deathbed. Jobs in the Stanford mirror. Borlaug in the wheat fields. Chouinard at the trust paperwork. Five centuries, five domains, one shape. * Physics describes. We endorse. The episode is in continuity with Williams’s internal reasons and MacIntyre’s narrative ethics, not in the position that physics dictates ethics. Hume’s gap stays open. We decide which side to stand on, knowing what we are. * The practice is three nested loops. The breath. The day. The decade. Each is the same act at a different cadence. * Build like the future depends on it. Do not let the building depend on the future. We don’t possess time. We are one of the more elaborate things time does as it runs through. And for as long as this pattern lasts, the practice is the same at every scale. Full transcript available below the audio player. This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit frahlg.substack.com [https://frahlg.substack.com?utm_medium=podcast&utm_campaign=CTA_1]

26 de may de 202643 min
episode The Thermodynamic Ledger artwork

The Thermodynamic Ledger

There is a glass of water on a kitchen counter. An ice cube floats in it, slowly melting. It is the most ordinary scene a kitchen can produce. And inside it is hiding nearly the entire thermodynamic worldview that runs civilization. Watch the ice cube. Where is the energy coming from to melt it? Not a flame. Not a battery. From the air. Room-temperature air you would not even call warm. Why is it melting? Not because anyone is doing work. Because there is a temperature difference. The ice is at 0°C. The air is at 20°C. The difference is allowed to fall, and the fall is the melting. When the cube has fully melted, has anything been lost? The first law of thermodynamics says no. Every joule is still there, redistributed. The books balance perfectly. But something has happened. Something is gone, and will not come back without a refrigerator running somewhere. What is gone is the temperature difference itself. And it was the difference, not the energy, that made the melting possible. This episode is about that strange fact. The universe doesn’t run on energy. It runs on differences. And the differences are slowly leveling out — slowly here, quickly there, but always in one direction. That direction is what we call time. That direction is why anything ever happens at all. Energy Is a Language, Not a Substance We talk about energy as if it were stuff. We store it, use it, waste it. The grammar is intuitive and a little bit wrong. Here is a fact that surprised me when I thought about it carefully. The concept of energy is much younger than you would guess. The quantitative concept — the number you can write down on paper and trust to balance — is a nineteenth-century invention. Aristotle had a word, energeia, but it meant something philosophical, not measurable. For two thousand years no one had the unifying number. It arrives almost at once in the 1840s. Julius Robert Mayer publishes the first quantitative statement in 1842, after noticing that the venous blood of sailors in the tropics looks redder than at home. James Prescott Joule spends the decade measuring how much mechanical motion warms how much water by how much. His best value for the mechanical equivalent of heat — 4.159 joules per calorie by 1850 — was within one percent of the modern value. Hermann von Helmholtz publishes the universal synthesis in 1847. Ludvig Colding gets there independently in Denmark. So does William Rankine. The first law of thermodynamics has no single discoverer. It has a moment, when several thinkers looked up from different problems and realized they had been measuring the same thing all along. What they had measured was the number that doesn’t change when one form of motion turns into another. A weight falls, a paddle turns, water warms. Different appearances, same balance. For seventy years, that was where the concept sat. The books balanced, and nobody knew exactly why. Maxwell, in his 1871 Theory of Heat and his 1873 Treatise on Electricity and Magnetism, worked through the relationships between forms of energy without ever claiming to know why the underlying number was conserved. He treated it the way we treat pi — a constant of the universe whose value you accept and whose origin you don’t ask after. The deep answer arrived in 1918, in Göttingen, by a mathematician who was almost not allowed to lecture. Emmy Noether was repeatedly denied a faculty position because she was a woman, and lectured for years under Hilbert’s name as a workaround. While doing that, she proved a theorem connecting the deepest structure of physical law to the existence of conserved quantities. The theorem says: every continuous symmetry of the laws of physics corresponds to a conserved quantity. If the laws don’t depend on direction, angular momentum is conserved. If they don’t depend on where you are, linear momentum is conserved. And if the laws of physics don’t depend on when you are — if tomorrow’s physics is the same as today’s — then energy is conserved. That is what energy is. It is the quantity that has to be conserved because the universe is temporally consistent. Conservation of energy is not the statement that there is a substance hoarded somewhere. It is the statement that the rules don’t shift on us. Energy is what’s protected by the fact that physics is something you can trust to keep being itself. That makes it abstract. It does not make it weak. It is one of the most powerful concepts humans have ever discovered, precisely because it is forced on us by the structure of reality. Gradients Are the Real Currency So if energy is conserved because the laws don’t change — why is anything happening? Because conservation doesn’t mean stasis. The universe is not at equilibrium. It is full of differences. Pockets of hot next to cold. Concentrations next to dilutions. Heights above lows. Charges separated from neutralities. Pressures bearing against vacuums. Chemical bonds that would prefer to be other chemical bonds. Differences want to fall. The second law of thermodynamics is exactly that: any difference left to itself will tend to even out. Ice melts. Coffee cools. Mountains erode. Stars burn. The universe is going somewhere, and that somewhere is the slow leveling of all its differences. What nature actually gives us is not joules. Joules are how we count what happened after the fact. What nature gives us is differences. The technical name for “useful work potential locked into a difference relative to a surrounding environment” is exergy. The word itself was coined in 1956 by the Slovenian engineer Zoran Rant, who wanted a single word in German for what physicists had been clumsily calling “available energy” or “free work.” Sadi Carnot, in 1824, worked entirely inside a wrong picture of heat — caloric theory, heat as an invisible fluid — and still extracted one of the most durable insights in physics. He asked: what is the absolute maximum work you can extract from a heat engine? His answer was that the ceiling depends only on the temperatures involved, not on the working fluid or the engine design. The Carnot fraction — (T_hot − T_cold)/T_hot, measured on the absolute scale — is the universal exergy formula for thermal gradients. Steam at 500 K against a 290 K environment: ceiling 42%. Steam at 1000 K: 71%. Lukewarm heat at 295 K: less than 2%. The substance picture was wrong. The gradient picture was right. Three joules. All rated the same on the first-law ledger. All wildly different in what they can still do: * One joule of electricity. Almost pure exergy. Can become work, motion, light, computation, or heat at any temperature. * One joule of warmth in the air around you, at the same temperature as the air around you. Almost zero exergy. There is no fall left. * One joule of 800°C industrial steam. Enormous exergy. About 73% still usable. Same number on the energy ledger. Wildly different ability to make anything happen. A few analogies. A permanent magnet on a refrigerator door has been holding itself in place for thirty years. Where does it get the energy? Trick question. Holding does not cost energy. Energy is paid for change, not for being in a state. Static equilibrium is free. Change is expensive. A mechanical wristwatch is wound with a tightly coiled spring. The watch ticks because that tension is allowed to fall, slowly, controlled by an escapement. The watch doesn’t use energy. It spends a gradient on time. When the spring is fully unwound, the energy is still there — in the springsteel, at room temperature, indistinguishable from any other warm metal. The gradient is gone. A cargo train rolls down a long incline and powers a generator. By the time it reaches the bottom, the train, the cargo, the mass are all still there. The joules are accounted for — in electrical output, friction heat, brake squeal. What is gone is the height difference. That difference was the only thing that ever mattered. The train was incidental. The joules are bookkeeping. The fall was the event. When you pay your electricity bill, you are not paying for joules. You are paying for gradients delivered to your home in a controllable form. A high-voltage transmission line is a maintained electrical gradient — voltage is electrical altitude. Your refrigerator preserves a thermal gradient at the cost of a smaller electrical one falling through its compressor. Your heat pump takes a tiny temperature difference between outdoor air and refrigerant and amplifies it into the much larger difference between outside and your living room. None of these machines make energy. They rearrange which gradients fall where. We don’t run out of energy. We run out of gradients. Life Is What Happens When a Gradient Falls Slowly Now widen the frame. Earth is a planet sitting between two gradients. The Sun radiates at a surface temperature of about 5,800 K — hotter than any flame humans have ever built. Deep space — the cosmic microwave background, the residual heat of the Big Bang — sits at about 2.7 K. Earth’s surface, at about 290 K, is in the middle. Warmed by an enormously hot source. Cooled by a cosmologically cold sink. That gradient is the entire energy budget of life on Earth. The Sun does not give Earth energy in any net sense. Earth absorbs and re-radiates roughly the same amount it receives. What the Sun gives is high-quality energy in — concentrated, ordered photons from a 5,800-degree source — and Earth gives low-quality energy out — diffuse infrared photons radiated to a 3 K sky. That quality difference, that downhill flow of exergy, is what runs everything. Every leaf, every cell, every weather system, every river, every economy. Photosynthesis is the first user. A leaf takes high-exergy sunlight and uses it to push electrons up a chemical hill, storing the difference as sugar. Every animal that eats that sugar is eating stored solar exergy. Every fossil fuel we burn is a solar gradient from hundreds of millions of years ago, packed into a rock. In 1944, Erwin Schrödinger — a physicist by training, Nobel laureate for the wave equation — gave a series of lectures in Dublin that became a strange little book called What Is Life?. It famously influenced Watson and Crick on their way to DNA. Schrödinger’s central question was thermodynamic: how does a living organism resist the second law? Why doesn’t a cell just dissolve into equilibrium the way a sugar cube dissolves into tea? His answer: an organism stays alive by feeding on what he called negative entropy. His successors would call it exergy. Same idea. The organism takes in high-exergy food and excretes low-exergy waste. A living thing is a structure that maintains itself by continuously letting differences fall through it. Ilya Prigogine, a Belgian chemist who won the Nobel Prize in 1977, carried this further. He studied what he called dissipative structures: patterns of organization that arise spontaneously in systems far from equilibrium, sustained by a steady flow of energy through them. A whirlpool in a draining sink. The hexagonal Bénard cells of convection in a heated pan of oil. The bands on Jupiter. The structure of a hurricane. A candle flame. A living cell. All temporary order, paid for by a gradient falling through. This is what life is, thermodynamically. A dissipative structure. A pattern of order that exists because energy is flowing through it. A cell is a tiny engine running a chemical gradient. A muscle contraction is the controlled fall of a molecular difference. A neuron firing is a brief electrical gradient collapsing across a controlled aperture. A heartbeat is a calcium gradient and an electrical gradient and a pressure gradient, falling in coordinated sequence. You, reading this, are a localized, controlled gradient-burning event. Every cell in your body is letting little differences fall, harvesting some of the fall as the work it needs to keep being a cell. That is not poetic. That is anatomical. When you die, the differences will be allowed to equilibrate. The chemical gradients flatten. The membrane potentials collapse. The dissipative structure that has been you for several decades dissolves back into the surrounding chemistry. The atoms that were you become continuous with the chair you were sitting in, the air you were breathing. This is not nihilistic. It is the opposite. The fact that you exist at all is the fact that the universe has gradients in it, and you are one of the more interesting things they make on their way down. The Civilization Number You can do this same accounting at the scale of an entire economy. Paul Brockway and his colleagues at the University of Leeds spent over a decade building a database — country by country, year by year — tracking how much of the useful work potential we mine, drill, and harvest actually ends up doing something we wanted, versus how much dissipates into low-grade heat along the way. The headline number for civilization in 2020 is 16 percent. We were at 12 percent in 1971. Half a century of energy efficiency policy moved the global number four percentage points. Four points in fifty years is not nothing. It is real engineering effort, and real progress. But it tells you how hard the problem is, and how far the ceiling sits above the floor. Roughly 84 percent of the useful exergy we extract from the planet each year is destroyed before it serves anyone. Burnt off in flames hotter than they needed to be. Lost in friction. Throttled in valves. Radiated as heat from wires that were supposed to be carrying electricity. Most of what we call “energy use” is not use. It is leakage on the way to use. Carnot comes back here. A condensing gas boiler is rated at 95% energy efficiency. It is roughly 10% exergy efficiency. The reason is in Carnot’s formula: you are burning methane in a flame at 1,500°C to heat a living room at 20°C. The thermodynamic ceiling on what you could have done with that flame, properly used, was many times what you got out of it. A heat pump, by contrast, uses a small high-quality input (electricity) to redirect a large low-quality flow (warmth from outdoor air). That’s why it delivers four units of warmth per unit of electricity. It matches the quality of supply to the quality of demand. Cullen and Allwood at Cambridge ran a similar exercise a different way and got 11% global fuel-to-service exergy efficiency. The brackets are tight. Whichever boundary you choose, roughly nine-tenths of what we extract is destroyed before it does any service we actually wanted. That gap is the energy transition. Not the swap of one fuel for another. The slow closing of the gap between what we extract and what actually serves us. The Cost of Knowing There is one more layer worth naming. In December 1867, Maxwell wrote a letter to his friend Peter Tait describing a thought experiment: a being so small and so fast it can sort individual molecules. Let it operate a tiny gate, letting fast molecules pass one way and slow ones the other. Without doing any work, it could build a temperature gradient out of nothing. The second law of thermodynamics, apparently violated. Maxwell didn’t claim the second law could be broken. He was making a subtler point: the law is statistical. It lives at the level of averages. And statistical laws, in principle, can be questioned by clever sorting. For a century the demon was a paradox. The resolution came in two pieces. Rolf Landauer, at IBM in 1961, proved that erasing one bit of information in a thermal environment at temperature T must dissipate at least k_B T ln 2 of heat. At room temperature, about 2.87 × 10⁻²¹ joules. Per bit. Erased. Then Charles Bennett, in 1982, finished the demon’s story. The demon works exactly as Maxwell described. The measurement is reversible. The sorting is reversible. But for the demon to operate over many cycles, it must forget — it must erase its memory of which molecules it has already sorted. That is where the missing entropy lives. The entropy the demon appears to remove from the gas is paid by the demon at the moment of erasure. Measurement can be reversible. Erasure cannot. The Landauer bound has been measured. Bérut and colleagues, in Nature in 2012, watched a single colloidal particle in a precisely controlled optical trap and observed the predicted heat dissipation when its bit-state was erased. The universe really does charge for forgetting. The bound is tiny. The interesting number is how far above it we operate. A modern silicon transistor switching state dissipates roughly 10⁻¹⁵ joules — about a million times more than physics requires. Most of the energy our computers spend is not the cost of thinking. It is the cost of doing it the way we currently do. Every act of sorting, deciding, choosing, remembering, forgetting — every bit set or cleared, in a brain, in a chip, in a market, in a hurricane that erases yesterday’s pressure pattern — pays. There is no free choice. Even Maxwell’s demon, who looked for a century like he was getting away with something, was just hiding the bill in his notebook. The universe finds the bill in the end. Back to the Kitchen We started at a kitchen counter. The cube is smaller now. The water is a little fuller. The room is unchanged. Nothing was created or destroyed. Every joule is exactly where the first law — protected by Noether, conserved because the laws don’t change with time — says it should be. The books balance. They have to balance. The structure of physics requires it. But something is leaving. The exergy. The work potential the difference represented. When the cube has fully equilibrated with the room, the books still balance, but the system has lost a small piece of the capacity to make anything else happen. You will never get that exergy back unless somewhere, in some machine, a refrigerator runs at a cost — and that cost will be paid by some other gradient, somewhere else, falling. Maybe a power plant burning fuel. Maybe a wind turbine catching a pressure gradient in the atmosphere. Maybe a solar panel absorbing the Sun’s quality difference with the cold sky. Somewhere, something is falling, so that something here can be lifted. This is what is happening, all the time, everywhere. The universe is full of differences left over from its violent first moments. Stars. Planetary gradients. Chemical disequilibria. Gravitational drops. Slowly, the differences are leveling. Quickly, in some local regions — a star core, a leaf, a turbine, a kitchen counter on a Tuesday afternoon — the differences are being directed through structures that extract some change before allowing them to fall. We are one of those structures. Key Takeaways * Energy is not a substance. It is a quantity protected by the constancy of the laws of physics — what Noether showed in 1918. * The concept of energy is younger than the steam engine that needed it. It was assembled by several thinkers in the 1840s, almost simultaneously. * What nature actually offers is not joules. It is differences — temperature gradients, pressure gradients, chemical gradients, electrical gradients. Joules are bookkeeping. * Holding doesn’t cost energy. Change does. Static equilibrium is free. * A joule of electricity and a joule of room-temperature warmth balance the same on the energy ledger, and are radically different in what they can still do. That difference is exergy. * Carnot’s formula — the maximum fraction of heat that can become work — is the universal exergy formula for thermal gradients. * Earth sits between a 5,800 K source and a 3 K sink. That gradient is the budget for life. * Life is a dissipative structure: temporary order, paid for by a gradient falling through. You are a localized, controlled gradient-burning event. So is every cell in your body. * Civilization destroys roughly 84 percent of the useful work potential it extracts before serving anyone. Closing that gap is what the energy transition actually means. * Even information has a thermodynamic cost. Measurement can be reversible. Erasure cannot. The universe charges for forgetting. The universe doesn’t possess energy. We don’t possess energy. We are one of the more elaborate things that differences do on their way down. And for as long as that lasts, we can choose which differences fall, and what they make on the way. Full transcript available below the audio player. This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit frahlg.substack.com [https://frahlg.substack.com?utm_medium=podcast&utm_campaign=CTA_1]

25 de may de 202644 min
episode The Grid Speaks in Sine Waves artwork

The Grid Speaks in Sine Waves

The electric grid is usually described as infrastructure: wires, substations, power plants, meters, markets. That description is not wrong, but it misses the deeper miracle. Underneath the visible machinery is a synchronized physical conversation. Before the grid had APIs, cloud control, modern SCADA, or every device phoning home, generators and loads were already communicating through the waveform itself. Frequency moved. Voltage sagged. Phase angles opened. Rotors slowed. Relays watched. Governors reacted. The grid was a communication system before it was a computer system. Electricity Is Not Water The water analogy is useful for about five minutes. Voltage is like pressure. Current is like flow. Resistance is like a narrow pipe. Fine. As a classroom ladder, it helps people climb into the subject. But if you stay on that ladder too long, it puts the wrong picture in your head. It makes electricity feel like stuff leaving a power plant, travelling through a wire, arriving at your house, and being consumed like water from a tap. That is not what an alternating-current grid is. In AC, electrons mostly oscillate locally. They move back and forth in the conductor. The energy moves through electromagnetic fields around the conductors. The wire guides the energy; it is not a delivery truck full of electrons. That difference matters because it changes the whole emotional picture. The grid is not mainly plumbing. It is a shared oscillation maintained across copper, steel, magnetic fields, rotating machines, transformers, loads, protection systems, and now power electronics. And the basic shape of that oscillation is the sine wave. A sine wave is rotation seen from the side. Imagine a point moving around a circle at constant speed. Shine a light on it and watch its shadow move up and down on a wall. The shadow accelerates, slows, reverses, and accelerates again. That shadow is a sine wave. So alternating current is not some strange compromise forced onto machines. It is what rotating machines naturally want to make. A sine wave is what a rotating machine says when copper listens. Transformers Are Electrical Gearboxes The transformer is one of the reasons AC became civilization-scale. Electrical power is voltage times current. For the same power, you can have lower voltage and higher current, or higher voltage and lower current. The grid strongly prefers the second option for long-distance transmission because wires heat with current squared. Double the current and the heating losses rise roughly four times. Cut the current in half and the heating losses fall to a quarter. That is why transmission lines operate at very high voltage. Not because anyone wants dangerous voltage near people, but because high voltage is a transport trick. It lets the system move large amounts of power with less current, less heat, and less waste. But your house should not receive hundreds of thousands of volts. Your laptop charger, heat pump, dishwasher, EV charger, and lights need electricity at a human scale. So the grid needs a machine that can trade voltage for current efficiently. That machine is the transformer. A transformer has two coils sharing a magnetic core. Alternating voltage on the first coil creates a changing magnetic field. That changing field induces voltage in the second coil. The turns ratio decides the trade: more turns can step voltage up; fewer turns can step voltage down. It is a gearbox, but electrical. Step voltage up, current comes down. Step voltage down, current comes up. Power is mostly conserved, minus losses, but expressed in the form that part of the grid needs. Without transformers, electricity would have stayed more local and clumsy. With transformers, a generator can feed a high-voltage transmission network, substations can step it down near cities and industries, and local distribution transformers can finally deliver ordinary low-voltage supply. In much of Europe, the familiar system is 400 volts phase-to-phase and 230 volts phase-to-neutral. Those are not separate electrical worlds. They are different ways of connecting to the same three-phase geometry. Three Phase Is Geometry Three-phase power sounds boring until you see it as geometry. It is not just “more serious electricity” for factories. It is three sine waves of the same frequency, separated by 120 electrical degrees. Picture three runners on the same circular track, moving at the same speed, one third of a lap apart. No runner is the system. The pattern is the system. In a balanced three-phase system, the three currents sum to zero at every instant. Not on average. Not after a minute. At every instant. One phase is pushing, another is pulling, the third is somewhere between, and the sum clears. That is why the neutral conductor in a balanced three-phase system can carry little or no current. The neutral is not a magic drain. It is the imbalance ledger. Three phase also delivers smoother total power than single phase. Single-phase AC pulses over the cycle. Balanced three-phase AC keeps the total much steadier because while one phase is low, the others are carrying the motion. But the deeper reason three phase conquered the world is rotation. Put three windings around a motor, separated in space. Feed them with three currents separated in time. The result is a rotating magnetic field. A motor does not get punched forward, left alone, and punched again. It sees a field that turns smoothly. Continuously. A field it can follow. That is why three-phase motors are so elegant. It is why pumps, compressors, mills, fans, elevators, factories, data centres, and much of industrial civilization are built around this idea. Mechanical rotation becomes electrical rotation in a generator. Electrical rotation travels through wires. Another machine turns it back into mechanical rotation. Three-phase power is the moment rotation became transmissible. Frequency Is A Speedometer A synchronous generator is a physical clock with torque. On a 50 hertz grid, the electrical system completes 50 cycles per second. In a simple two-pole synchronous machine, that means the rotor turns at 3000 revolutions per minute. In a four-pole machine, it turns at 1500 revolutions per minute. The exact machine design varies, but the principle is fixed: mechanical rotation and electrical frequency are tied together. So when someone says the grid is running at 50 hertz, they are not describing an abstract number. They are seeing the public face of rotor speed. This is why synchronizing a generator is serious. The incoming machine must match the live grid in voltage, frequency, phase sequence, and phase angle. Close the breaker at the right moment and the machine joins the dance. Close it at the wrong moment and steel fights steel through copper. That also helps explain why load is not passive in the physical sense. Economically, we say a load consumes power. Physically, a load also appears as electromagnetic braking torque on the machines feeding it. Turn on enough load and generators feel resistance to rotation. Turbines must push harder. Governors must admit more steam, water, fuel, or mechanical input. If mechanical input and electrical output match, speed holds. If load wins, rotors slow. If generation wins, rotors accelerate. That is frequency. Frequency is the speedometer of a continental machine. Watts, Vars, And Phase Angle There is one concept in this episode that deserves special care: phase angle. There are two related but different ideas that often get blurred together. The first is the phase angle between voltage and current at a load. If voltage and current rise and fall together, most of the electrical effort is doing net work: heating, turning a shaft, charging a battery, lighting a lamp. That is active power, measured in watts. Active power is the part that does net work over the cycle. But motors, transformers, long cables, and power electronics also have magnetic and electric fields. Those fields require energy to build, collapse, and rebuild every cycle. Some energy moves into the field and then comes back out again. That is reactive power, measured in vars. Reactive power is not fake. It is real field energy moving back and forth. But it is not net work in the same way active power is. This is why power factor matters. A poor power factor means more current for the same useful active power. The wires still heat. Transformers still carry the current. Capacity is still used. The second phase-angle idea is the angle between voltages at different points in the grid. If one region is slightly ahead in the cycle and another is slightly behind, that angle difference is tied to active power transfer through the impedance between them. A transmission line is not a pipe. It is a coupling between synchronized electrical regions that may be pulling against each other. A useful mental map is this: active power is strongly tied to frequency and angle. Reactive power is strongly tied to voltage. That is not the whole mathematics, but it is a good way to stop mixing the ideas together. Svängmassa Buys Time The Swedish word svängmassa is better than the English phrase grid inertia. It means swinging mass. Rotating mass. The mass that resists sudden change because it is already moving. Start with Newton. Force equals mass times acceleration. Push a light object and it accelerates easily. Push a heavy object with the same force and it accelerates less. Mass resists changes in motion. For rotation, the equivalent is torque equals moment of inertia times angular acceleration. Torque is rotational shove. Angular acceleration is change in rotational speed. Moment of inertia is the rotating version of mass, but with one important twist: where the mass sits matters. Mass far from the shaft matters much more than mass close to the shaft. A heavy flywheel resists sudden speed changes because kinetic energy is stored in rotation. Now translate that into the grid. Mechanical power comes in from turbines. Electrical power goes out to loads. If they match, speed holds. If electrical load suddenly exceeds mechanical input, the missing power comes first from the kinetic energy stored in spinning machines. The rotors give up a little energy. They slow down. Frequency falls. This is why inertia matters. It slows the rate of change of frequency. It turns an instant cliff into a short ramp. But inertia is not backup power in the ordinary sense. It does not create new energy. It does not solve the imbalance. It spends stored kinetic energy to buy time. Inertia is not the solution. It is the time in which a solution can arrive. The Grid Was Already Speaking This is the part I find almost absurdly beautiful. The old grid did not wait for a central computer to understand every event. It could not. The fastest things happening on the grid were too fast for meetings, dispatch schedules, paperwork, or market calculation. So the grid used local physical signals. Frequency falling meant load was winning. Frequency rising meant generation was winning. Voltage sagging meant local electrical pressure was weak. Phase angle widening meant stress was building across a corridor. Current rising meant something was drawing hard, or something was wrong. Impedance shaped how strongly one place could feel another. Governor droop is a local rule: if speed falls, increase mechanical input. Automatic voltage regulation changes excitation to support voltage and reactive behavior. Protective relays watch current, voltage, frequency, phase, distance, and impedance, then open breakers when the local pattern looks dangerous. Of course there were operators, telephones, control rooms, telemetry, procedures, and dispatch instructions. But the fastest layer was physical. Local. Analog. It lived in rotating steel, copper windings, magnetic fields, relay coils, governor mechanisms, and the shared waveform itself. The grid did not have no communication before digital communication. The grid was communication. When The Rotors Disappear The modern transition is not only a fuel transition. It is a machine transition. Coal, gas, nuclear, and hydro plants usually connect through synchronous machines. They bring rotating mass, fault current, and electromechanical behavior. Some of that behavior is useful by design. Some is useful almost by accident, because a large spinning machine cannot help being a large spinning machine. Solar PV and batteries do not work that way. Many modern wind plants do not present themselves to the grid as directly coupled synchronous mass. They connect through inverters: power electronics that convert one electrical form into another. This can be extraordinarily powerful. Inverters can react very fast. They can measure, compute, and change output in milliseconds. But they do not automatically behave like synchronous machines. A grid-following inverter listens to an existing waveform and injects current into a grid that someone else is already forming. A grid-forming inverter creates a voltage waveform. It can help establish frequency and voltage. It can support weak grids, black start, islanded operation, and high shares of inverter-based resources if the controls, hardware, protection, and operating rules are designed correctly. Synthetic inertia is similar. The name is useful, but it can mislead. It is not literal mass. It is a control behavior backed by real hardware constraints: energy, headroom, current limits, measurement quality, stable controls, and protection settings. Replacing mass with code is not just a software update. It is a control-theory redesign, a protection redesign, and an operating-philosophy redesign. The old grid stayed together partly because machines obeyed physics together by default. The new grid can work too. It may become faster, more flexible, and more controllable than the old one. But only if the code learns to speak the old machine language. Key Takeaways * The grid is not mainly a plumbing system; it is a shared electromagnetic oscillation. * AC fits naturally with rotating machines because a sine wave is rotation made visible. * Transformers let AC scale by trading voltage for current, reducing transmission losses. * Three-phase power is geometry: three waveforms 120 degrees apart that create smooth power and rotating magnetic fields. * Frequency is the public face of rotor speed in a synchronous AC system. * Active power does net work; reactive power sustains fields and affects voltage, current, losses, and capacity. * Svängmassa does not solve an imbalance. It buys time by slowing the rate at which frequency changes. * The old grid communicated through physics before it communicated through digital systems. * Inverter-heavy grids can work, but the software must respect the waveform, not pretend it floats above it. The power grid was never just infrastructure. It was a machine-language network: frequency was urgency, voltage was pressure, phase angle was stress, and every connected device was already listening. Full transcript available below the audio player. This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit frahlg.substack.com [https://frahlg.substack.com?utm_medium=podcast&utm_campaign=CTA_1]

23 de may de 202630 min
episode Curtailment Is a Decision, Not an Accident artwork

Curtailment Is a Decision, Not an Accident

There is a wind farm off the Angus coast in Scotland called Seagreen. One hundred and fourteen turbines. One point one gigawatts of nameplate capacity. In the year to March 2025, it was paid to not generate for seventy-one percent of its operational hours. Three and a half terawatt-hours of clean electricity, turned away. The official explanation is congestion. The transmission boundary between Scotland and England — the network engineers call it B6 — cannot carry everything the Scottish wind fleet produces on a windy summer morning. So NESO sends a constraint instruction. Seagreen drops its output. A gas plant in southern England ramps up. The energy gets to London. Just not from the cheapest source. We call this curtailment. The word is procedural. Technical. Unavoidable-sounding. It is none of those things. Same physical fact, three different bills Curtailment is a decision. It is dispatched in milliseconds, by code, in operator control rooms. But the rules that decide who gets curtailed first — and who pays for it — were written by lawyers years before any of these turbines existed. And the rules look very different in different jurisdictions. In Britain, there is no merit order. Curtailment is what the Balancing Mechanism does. NESO picks the cheapest bid that solves the constraint. The cost — about £1.5 billion of wind constraint payments in 2025 — is socialised through BSUoS, a levy on consumer bills. In continental Europe, EU Regulation 2019/943 Article 13 says non-market curtailment of renewables should be a last resort, and compensated when it happens. Spain operationalises this explicitly in Annex XV of Royal Decree 413/2014. Germany compensates curtailed renewables through a regulated regime tied to the EEG market premium. In Texas, there is no statutory renewable priority, no automatic compensation. Curtailment lives inside power purchase agreements. The blunt version, from analyst Matthew Middleton: “The majority of PPAs settle as-produced, which means if a site doesn’t deliver energy to the grid, it doesn’t get paid.” Four bills. Same physical fact. The German paradox The most counter-intuitive finding sits inside Germany’s annual data. The volume of renewable energy being curtailed has stayed roughly flat between 2023 and 2025 — around 9 to 10 terawatt-hours per year. But the compensation bill has fallen, from about €600 million in 2023 to €433 million in 2025. The mechanism: German compensation is tied to the EEG market premium, which shrinks when wholesale prices rise. So Germany is now curtailing the same amount of clean electricity and paying renewable generators less for the privilege. Meanwhile, negative-price hours rose from 301 to 573 over the same period, and solar curtailment specifically nearly doubled. The visible political cost is falling. The underlying problem is getting worse. The silent curtailment nobody is counting There is a layer of curtailment that does not appear in any annual report from any regulator. In Germany, the 2025 Solarspitzengesetz imposes a temporary 60% export cap on new sub-100 kW rooftop solar without smart-meter control. Plus zero remuneration during negative-price hours. In California, Rule 21 smart-inverter requirements can throttle export through volt-var control. In Britain, G98 and G99 protection settings trip arrays autonomously when voltage drifts. In Spain, “self-consumption without surplus” requires an anti-injection device. None of these homeowners would say they were curtailed. None of these megawatt-hours appear in any ledger. But the electrons stop — every day, in firmware the homeowner never sees and could not change if they wanted to. The most curtailed generator on the modern grid may be the one nobody is counting. What’s actually happening Curtailment is what happens when there is energy available, somewhere it could go, and the layer in charge of routing it is too slow, too distant, or too uniform, to send it there. The blade in Angus could be charging a thousand electric cars in Newcastle. The panel in Bavaria could be heating water in the same village. The array in Kern County could be running an electrolyzer twenty kilometres south. None of these absorbers are missing. None of these uses are unprofitable. None of these matches are technically impossible. What is missing — in 2026 — is a control layer fast enough, local enough, and granular enough, to make the match happen before the only available lever is “switch off the generator.” Every curtailed megawatt-hour is a coordination failure dressed up as a thermodynamic necessity. The data gap There is one more finding worth naming. Germany and Great Britain publish curtailment data with annual line items. Energy curtailed. Compensation paid. Sometimes down to the specific transmission boundary. Spain, the United States, and Sweden do not — at least not at asset level. American curtailment lives inside private power purchase agreements. ERCOT reports congestion outcomes. CAISO reports zonal curtailment. The most consequential daily decision on the modern electricity grid is, in two of the four largest renewable systems in the world, effectively invisible at the asset level. The fact that we cannot easily count what we are throwing away is itself a finding. Curtailment is a decision. The only question worth asking is who is making it — and at what speed. Full transcript available below the audio player. This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit frahlg.substack.com [https://frahlg.substack.com?utm_medium=podcast&utm_campaign=CTA_1]

23 de may de 202627 min
episode The People vs. The Backtest artwork

The People vs. The Backtest

The next episode is framed as a courtroom documentary. The defendant is The Backtest. The charge is not that it was wrong. All models are wrong. The charge is that it made uncertainty look more orderly than it really was, and that people used its elegant historical performance to justify decisions about money, risk, leverage, and physical systems. The argument A model is not guilty because it is wrong. A model is guilty when it hides how it is wrong. That is the core of the Calibration Wars. The episode moves through the failure pattern shared by finance and energy: * VaR models that produced precise numbers while missing tail and liquidity risk; * the London Whale episode, where reported risk fell just before losses made the world look much larger; * perfect-foresight battery backtests that are useful as upper bounds and dangerous as base cases; * forecast metrics that win the leaderboard while doing little for actual profit; * merchant revenue cases that need to survive gate closures, slippage, degradation, market saturation, and settlement rules. The courtroom documentary The cast: * The Narrator - a dry documentary reporter who explains the room, the witnesses, and why each exchange matters. * Judge Reality - calm, final, unimpressed. * The Prosecutor - The Market, cross-examining every beautiful assumption. * The Defence - The Quant, who is right about the math and wrong about the room. * The Backtest - the defendant, dangerous because it is obedient. * VaR - a witness in its own defence. * The Trader - explains liquidity as the thing that disappears when needed. * The Lender - cares about downside cash, not brilliance. * The Spreadsheet - exhausted, rectangular, and unfairly blamed for human optimism. There is also an exhibit on the forecast that won the wrong competition: a model with better error metrics, but no clear connection to dispatch value, debt sizing, or actual settlement. The trial’s verdict is deliberately narrow: The Backtest is not guilty of being wrong. It is conditionally not guilty of being useful. It is guilty of impersonating certainty. Why it follows The File Episode 87, The File, was about how civilisation makes the future financeable. Episode 88 puts one of the file’s most dangerous organs on trial: the model that says the future has already happened in Excel. The deeper question is the same: How do we turn uncertainty into decisions without pretending uncertainty has disappeared? Key line The model did not fail because it was fuzzy. It failed because it was precise. Production note This is written as a dry courtroom documentary, not sketch comedy. The narrator keeps the trial legible, like a radio reporter walking the listener through the room. The music beds are sparse and institutional. Sound effects are limited to small courtroom cues: gavel, paper, stamp, projector. The goal is for the trial form to make model risk audible. This is a public episode. If you would like to discuss this with other subscribers or get access to bonus episodes, visit frahlg.substack.com [https://frahlg.substack.com?utm_medium=podcast&utm_campaign=CTA_1]

18 de may de 202641 min