The universe does not possess a fixed store of time; it possesses a stock of unrealized phase space. A civilization that generates knowledge slowly runs out of time. A civilization that generates knowledge quickly grows the very time it inhabits.

Horns inside of horns. Haha

It is horns inside of horns.

Hello

The universe’s knowledge creating structures has the topology of Gabriel’s horn. Finite engine with unbounded exhaust. Same for blackholes

Entropy is the receipt for constraint creation.

Tell Gigi he was right about time and bitcoin but it turns out everything works the same way. Bitcoin, knowledge, DNA, time. The cycle works at every scale from a ting single idea to the entire universe. Irreversible commitment → testing → if it persists, it becomes the foundation for the next layer. Layer of what? Layer of information. The physical embodiment of order. That’s how a conjecture becomes knowledge. You commit to an explanation (it is irreversible because you can’t un-think it), reality tests it (criticism, experiment, will it break?), and if it survives, it becomes the substrate the next explanation builds on. No skipping layers because you can’t. You can’t build quantum mechanics without classical mechanics underneath it. Each layer is an irreversible commitment that passed the test. The entire field of biology works this way. A mutation commits to a specific change in DNA (irreversible at the cellular level). The organism gets tested by its environment. If the constraint persists meaning if the organism survives and reproduces then that mutation becomes the foundation for the next layer of adaptation. You can’t uncommit. You either persist or dissolve. That’s how the universe works at cosmic scale. The Big Bang is the irreversible commitment: maximum constraint released, specific initial conditions set. Those conditions get tested by physics itself, do these constants permit structure? Do they allow chemistry? Biology? Knowledge creators? If the constraints persist through all of that testing, they become the foundation for the next layer: knowledge creation rebuilding constraint, pushing deeper, until maximum compression triggers the next irreversible commitment. And here’s what makes this hard to vary: the arrow of time is the irreversibility. Time and bitcoin move forward because commitment is irreversible. You can’t un-release constraint. You can’t un-dissipate the heat. Every dissolved constraint is a one-way transaction and every surviving constraint is a platform you can’t remove without collapsing everything built on top of it. So the arrow of time isn’t some crazy mmystery. It’s just what irreversible commitment looks like from the inside. We experience time because we’re inside a chain of commitments that can only go one direction: test, persist, layer, test, persist, layer. The universe isn’t flowing through time. It’s committing through time and each moment is an irreversible test. The thing (the specific arrangement of matter) that persists becomes the floor for the next moment. What doesn’t dissolves back to the generic and pays its energy tax on the way out. Here is one Gigi might also like which is crazy: Claude Shannon was measuring the opposite of what information actually is. The godfather of information theory might have been measuring the exact opposite of information his whole life. Shannon entropy measures how many different messages could have been sent. He says the more possibilities, the higher the entropy, the more “information.” A coin flip has 1 bit because there are 2 possibilities. A dice roll has ~2.6 bits because there are 6. Now think about what that’s actually measuring. It’s measuring the unconstrained space. He is asking how many things could have happened. The more things that could have happened, the more “information” Shannon says you have. Now flip it and get ready to have your mind blown. What makes a message actually matter? Not the space of things that could have happened. The fact that this specific thing happened and is being held in place. The constraint. The fewer things that could have happened ie the more constrained the outcome, the less Shannon information it contains. A message that could only ever say one thing has zero Shannon entropy. Zero “information.” WTF In constraint terms, that’s the most informative state possible - it’s fully determined, fully specified, every degree of freedom locked in. So Shannon’s measure goes up exactly when constraint goes down, and goes down exactly when constraint goes up. They’re inversely related. He literally measured the opposite of the thing people think he measured. Maximum Shannon information = maximum uncertainty = minimum constraint = the generic = noise. Minimum Shannon information = minimum uncertainty = maximum constraint = fully specified = knowledge. He built a meter that reads “maximum information” when you’re looking at noise and “zero information” when you’re looking at a fully determined, fully constrained, maximally meaningful state. lol. What are the chances? https://fountain.fm/episode/e4w4jOv0aw01ZIzZAEwG View quoted note →

Bruh. Turns out you were right @Jack K but the conjecture has wayyyyyy more reach than I first realized. The mechanism you found in bitcoin is not unique to bitcoin. It is a universal process. Point 10 below shows why block time is quantized time. Point 11 shows that is it universal. Time is constituted by irreversible commitments. Always. It isnt a container or a dimension or a river or whatever else people thought before. The answer expands on what Einstein figured out. It also gives us a definition of creativity that David Deutsch needs in his work. Here we go: THE CHAIN --- ESTABLISHED PHYSICS (each individually confirmed) 1. Information is physical. Erasing one bit costs minimum kT ln 2 joules of energy. Not an engineering limitation, this is a law of physics. (Landauer 1961, experimentally confirmed 2012.) 2. Physical things have mass. E = mc². Energy and mass are equivalent. If a bit costs energy, a bit has mass. Every pattern of information is a physical object with thermodynamic consequences. (Einstein 1905.) 3. Mass-energy curves spacetime. The stress-energy tensor tells spacetime how to curve. More energy flowing through a region = more geometric effect. (Einstein 1915, confirmed by gravitational lensing, GPS corrections, LIGO, etc.) 4. Time dilates with velocity. The faster you move through space, the fewer internal state transitions you undergo. Moving clocks tick slower. (Special relativity. Confirmed by muon decay, particle accelerators, satellite clocks.) 5. Time dilates with gravity. Deeper in a gravitational well, less energy is available per interaction. Fewer state transitions. Clocks tick slower. (General relativity. Confirmed by Pound-Rebka 1959, GPS corrections, Gravity Probe A.) 6. Entropy increases. The second law of thermodynamics. Systems move toward higher entropy. This gives time a direction. (Boltzmann, Clausius. Universally confirmed.) 7. Biological evolution works by random variation and selection. Mutations are committed irreversibly within a generation. The environment tests them. What survives persists. (Darwin, confirmed by molecular biology, genomics, observed speciation.) 8. Scientific knowledge grows by conjecture and refutation. You commit to a hypothesis, test it against reality, and the test is something you don't control. (Popper 1934, Deutsch 1997. The method that produced everything in points 1-7.) --- SYNTHESIS (combining established physics in a way nobody has assembled before. Not new laws, new connections) 9. All knowledge creation follows one physical mechanism. Pay energy upfront → commit irreversibly → let an external reference you don't control deliver a verdict → no path back. This four-step structure is not an analogy between domains. It is the same mechanism operating in: stellar fusion, DNA replication, minds testing conjectures, Bitcoin mining, and the fired jug. (New claim. Each component process is established. The identity across all five is new.) 10. The sequence of irreversible commitments IS time in each domain. Fusion events are stellar time. Tested mutations are generational time. Tested conjectures are experiential time. Verified blocks are block time. Not metaphorical. The accumulation of irreversible one-way doors is what that system calls "time." (New claim. Compatible with Einstein: proper time along a worldline counts the state transitions possible along that worldline. The novelty is identifying irreversible commitment as what a tick consists of.) 11. The arrow of time and knowledge persistence are the same phenomenon. The cost of falsifying knowledge vastly exceeds the cost of preserving it (Cf >> Cp). This cost asymmetry is what makes time directional. You remember the past because the constraints that carried you there are still legible (cheap). You can't access the future because the constraints that would carry you there haven't been built yet (expensive). (New claim. Established physics gives you the arrow via entropy increase. This identifies the specific mechanism (the pawl, the ratchet) that produces the arrow. 12. Not all ticks carry equal knowledge. A tick where the irreversible commitment was tested by a broad, independent, adversarial environment carries more knowledge than one tested by a narrow, correlated, friendly environment. Constraint quality (c = breadth × depth) measures this. K = Ic². Knowledge equals information times constraint quality squared. (New claim. Einstein's time is democratic, a second is a second. This adds a quality dimension to time that physics doesn't currently address.) --- NOVEL CONSEQUENCES (what follows if points 9-12 are correct) 13. Time is not a container. Time is what constraint produces. You don't have a background of time inside which knowledge gets created. You have irreversible commitments, and their accumulation is simultaneously the creation of knowledge and the passage of time. They are the same event. (Novel. Directly challenges the mainstream view in physics that time is a parameter in the equations.) 14. Systems creating more knowledge experience more time per unit of coordinate time. Not because their clocks run faster (Einstein handles that). Because they are making more irreversible commitments per coordinate interval. More ticks. More phase space opening. More configurations becoming accessible. A civilization running Bitcoin-grounded knowledge creation during a geopolitical crisis is literally experiencing more time per calendar month than one whose institutions are frozen. (Novel. Untested. But follows from the premises.) 15. The feeling that time accelerates during deep focused work is a measurement, not an illusion. If experiential time is the sequence of irreversible commitments, and you make more irreversible commitments per hour when deeply engaged, you are experiencing more time, not losing track of it. Psychology calls this "flow." The framework says it's physics. (Novel interpretation of an established psychological observation.) 16. Knowledge creation is a compounding feedback loop with geometric consequences. More knowledge → more energy becomes accessible (coal was worthless before thermodynamics, uranium was a rock before fission) → more energy available for irreversible commitments → more state transitions → more time → more knowledge. Each turn of the loop processes more energy through a region of spacetime. More energy processing = more curvature via standard GR. No new physics needed for the geometric effect. The new part is identifying the feedback loop that makes it compound. (Novel. The individual steps are standard physics. The compounding loop as a unified phenomenon is new.) 17. TASOE: Total Accessible Supply of Energy is determined by knowledge, not by resources. Energy was always there. Coal existed for 300 million years. The knowledge to access it didn't. Each tier of knowledge unlocks energy the previous tier couldn't reach. Structural knowledge gives you chemistry. Replicative knowledge gives you metabolism. Explanatory knowledge gives you fire, steam engines, nuclear reactors. The energy frontier is a knowledge frontier. (Novel framing. The observation that technology unlocks energy is old. Casting it as a consequence of K=Ic² and connecting it to spacetime geometry is new.) 18. Creativity has a precise physical definition. Creativity is the generation of a novel explanatory constraint that makes previously inaccessible configurations dynamically accessible, where the explanation has reach beyond its original context. This separates creativity from recombination (shuffling existing configurations, ΔΦ = 0) and from evolution (opens phase space but without explanation or reach). (Novel definition.) 19. AI's current limitation is the demon problem, not a compute problem. An LLM processes enormous information with zero constraint quality. K = I × 0² = 0. Faster processing doesn't help. Better sensors don't help. What's missing is the loop through physical reality: irreversible commitment, external test, permanent record. (Novel diagnosis. Extends Maxwell's Demon into AI epistemology.) 20. Bitcoin solves the body problem for AI in economic domains. It provides the loop: commit on-chain (irreversible), reality responds (external), record is permanent (can't edit). For economic knowledge specifically, Bitcoin is a better body than a robot arm because it's global and aggregates feedback from the entire economy. For other domains, other loops are needed. (Novel. Specific and bounded.) 21. The dark energy conjecture. If knowledge creation processes energy, and energy curves spacetime, and knowledge creation compounds, then the accelerating expansion of the universe may be partly driven by the accumulation of constraint: structural knowledge increasing globally. The cosmological constant as the density of structural knowledge the universe cannot get rid of. (Speculative. The most exposed claim. Falsifiable via the predictions)

Bitcoin carving out wells of constraint in the informational manifold.

Landauer proved gaining certainty is an irreversible physical event. The second law says irreversible events are what give time its direction. Take both seriously and the implication is: time doesn’t flow between decisions. Decisions are what time is made of. Bitcoin makes this visible.

Reading on @Jack K Bitcoin: The Architecture of Time, they hit on something that shifted my thinking on the quantum computing issue in Bitcoin. The standard narrative goes: quantum computers will eventually break Bitcoin by inverting hash functions faster or cracking elliptic curve signatures. Bitcoin’s security is a computational puzzle that better hardware will eventually solve. It looks like that framing is wrong at the foundational level. In 1961, physicist Rolf Landauer proved something that was experimentally confirmed in 2012. Every time a system goes from uncertain to certain, from many possible states to one definite state, there is a minimum amount of energy that must be dissipated as heat. You cannot get certainty for free. The universe charges admission. Think about it like this: Imagine a ball bouncing randomly around a room. It could be anywhere. That randomness is entropy. Now you want to know exactly where the ball is. You have to squeeze the room down to a tiny box that holds the ball in one precise location. You’ve gained information. You now know where the ball is. But you had to physically compress the room to get it. That compression took work. Energy went in. Heat came out. You can’t know where the ball is without doing that work. The knowledge and the energy expenditure are the same event. A quantum computer can explore many paths simultaneously. Superposition lets the ball be in every position at once. Quantum parallelism lets you search the room faster. But a quantum computer cannot produce a definite answer without collapsing the superposition. The moment it outputs a result, it has made a choice. One state selected. All others erased. The room has been squeezed. And that squeeze still costs energy. Landauer’s bound applies to quantum computers exactly the same way it applies to classical ones. Quantum mechanics does not override the second law of thermodynamics. Nothing does. So what actually happens if quantum computers mine Bitcoin? They search the nonce space faster. The difficulty adjustment responds. Difficulty goes up. More energy required per block. The thermodynamic cost per block increases. Security doesn’t weaken, the opposite actually happens. A quantum computer doesnt broken anything. It just made the room bigger before it gets squeezed. The squeeze still happens and the choice is still irreversible. The quantum threat only exists if you think Bitcoin’s security is computational. Based on problems being hard to solve. But Bitcoin’s security is thermodynamic. Based on choices being physically irreversible. Quantum computers can make computation faster. They cannot make entropy run backwards. Yes, the signature scheme needs upgrading. ECDSA is vulnerable to Shor’s algorithm. Post-quantum cryptography solutions already exist. That’s a software update. But the base layer? The proof-of-work? The thing that actually makes blocks irreversible and the ledger trustworthy? That’s not built on a mathematical assumption quantum computing can break. It’s built on the second law of thermodynamics. The ball still has to be pinned down and the room still has to be compressed. The choice still has to cost something. Quantum computing doesn’t threaten Bitcoin. It proves that whoever designed it built on physics instead of math.

The lens Bitcoin provides to help solve old problems is interesting. 🤯 Shannon entropy and Boltzmann entropy aren't two separate things that happen to share the same equation. They're the same physical process viewed from different ends. And Bitcoin is the first system that makes this obvious. When a block is mined, a miner expends real thermodynamic energy. Heat dissipates. Entropy increases in the physical universe. That's Boltzmann. That same process collapses a massive search space into a single valid nonce. One definite state out of trillions of possibilities. That's Shannon. But it's not two things happening side by side. It's one irreversible physical event. The thermodynamic work IS the information selection. The entropy increase in the environment IS the entropy decrease in the ledger's state space. In most systems the thermodynamic cost of information is invisible. You write a bit to a hard drive and the energy cost disappears as heat nobody measures. The physics and the information theory never have to meet. Bitcoin is different. The thermodynamic cost is the security model. Both the energy expenditure and the informational state change are publicly verifiable. The protocol is the link between them. The proof-of-work is the entropy bridge. Before a block is found, the nonce space is unresolved. Every candidate equally valid. No signal. Just possibility. Mining is the measurement that collapses it into a single definite state through irreversible energy expenditure. After the collapse, the physical reality and the informational reality are not two descriptions. They are one thing. Information alone is noise. Constraint is what collapses it into knowledge. Bitcoin's constraints are globally broad (tens of thousands of independent nodes) and temporally deep (900,000+ blocks of irreversible work). That's why it produces knowledge, not just data. The two entropies look separate when the constraint is invisible. Bitcoin makes it visible, measurable, and verifiable. 144 times a day. Every day. For 16 years. The bridge was always there and Bitcoin just made it impossible to ignore.

Ok I think it all clicked. Putting this here so I can remember when it happened. I’ve been working on something for a while now. It is basically four seperate papers all building to one central conjecture. It starts with a simple question and ends at the large-scale structure of the universe. Shout out to @Jack K and Nick and also @Jeff Booth and @preston Their episode helped tie up loose strings. I want to try and explain it in the shortest way possible. Compression is king. The first paper: “The Duality of Commitment” What does the universe require before it lets something persist? Answer: commitment along two independent axes. Spatial independence and temporal irreversibility. Miss either one, and the universe treats your structure as temporary. Satisfy both, and the cost scales with the square of their coupling. This is why E = mc² has a square. It is why K = Ic² has a square. The square is not a coincidence. It is the signature of two orthogonal commitments. The second paper: “The Constraint Interpretation of Measurement” What causes quantum possibilities to become definite facts? Answer: the same dual-axis commitment. Superposition is the fluid phase. Measurement is the phase transition to the frozen phase. The Schrödinger equation describes water. It was never meant to describe ice. Physics has spent 100 years trying to derive the frozen phase from the fluid equations. That is why the measurement problem is unsolved. The third paper: “The Chronometric Identity” What is time? Answer: time is the accumulation of irreversible memory commitments. Every clock ever built works by accumulating irreversible state changes. No exception. A tick of time and a quantum of knowledge creation are the same thermodynamic event. The universe does not learn over time. The universe learns AS time. The fourth paper: “Dark Energy as Accelerating Knowledge” What is dark energy? Answer: the thermodynamic signature of accelerating knowledge creation. The universe is expanding faster because it is producing time faster. It is producing time faster because the rate of irreversible memory commitment has been increasing since the first structures formed. The cosmological constant is not constant. It tracks the knowledge-creation rate. Dang I think this works. Four questions all answered with one mechanism. Why does persistence require a square? Two independent axes. Why does measurement produce definite outcomes? Dual-axis commitment. What generates time? Irreversible memory. What accelerates expansion? Accelerating knowledge. Same structure at every level. Probably nothing though. Still fun to think about

The universe has a pattern, and the pattern is: duality of commitment precedes persistence. Before anything can last, it must be locked along two independent dimensions. At first glance this can look like a feature of particular physical systems but in reality it is a feature of persistence itself.

If each quantum of irreversible memory adds a tick of time, and if the accumulation of knowledge has been accelerating since the emergence of replicative and then explanatory knowledge, then the rate at which the universe produces time should also be accelerating. That means that an observer on the outside (if such an observer could exist) would see the universe producing more ticks per… well, per what? There is no external clock. But the internal effect would be precisely what we observe: an accelerating expansion of the spacetime manifold.

I think this works. If time is the sequence of irreversible memory commitments, and if knowledge is information that has been irreversibly constrained then every tick of time is an act of knowledge creation. The universe does not learn over time. The universe learns as time. Each irreversible state transition is simultaneously a quantum of elapsed time and a quantum of constrained information being written into reality. The arrow of time and the arrow of knowledge creation are not merely parallel. They are identical. What we call “the passage of time” is what the accumulation of constrained information looks like from inside the system. It either works or I’ve completely lost it. Ha

Anyone there?

I think this works. K = I c² — Constraint as the Engine of Knowledge https://cru-jones.medium.com/k-i-c%C2%B2-constraint-as-the-engine-of-knowledge-dda12e968739

https://fountain.fm/episode/GQSwPHuISEiorsmohpYT This podcast is my best contribution to the bitcoin space. A novel theory on the extended order as Knowledge miners participating in the universal Knowledge Hash Rate. Anything that increases our ability to hash for more knowledge is good. Bitcoin is a tool that does specifically that.

getting closer.

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Podcast Episode · The Path to Bitcoin · 4 June 2025 · 50min