Bitcoin carving out wells of constraint in the informational manifold.
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- Chief Bitcoin Officer -
The Path to Bitcoin Podcast
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
Fountain
The Path to Bitcoin • Episode #164 – The Knowledge Hash Rate (KHR) • Listen on Fountain
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Chapter 11 is live.
Getting close to the finish line.
Fountain
The Path to Bitcoin • Episode #160 – Chapter #11: Thermodynamic Leverage • Listen on Fountain
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every sat acquired is a shot fired.
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