Why Bitcoin's critics and its loudest believers are making the same mistake
Every Bitcoin cycle arrives with a new reason the old rhythms no longer apply. This time it is the spot ETFs. Before that it was corporate treasuries. Before that, sovereign accumulation. Before that, a pandemic and a flood of central bank liquidity. The catalysts rotate; the claim is remarkably stable. Something has shifted, the argument goes, and the historical pattern has been repealed.
The claim is usually wrong, and it is usually wrong in both directions. Bulls invoke it to justify extrapolating parabolas. Bears invoke it to explain why this drawdown, unlike the last four, is terminal. This cycle, the claim has migrated upmarket: Michael Saylor declared the four-year cycle dead this spring, and research desks at Bitwise, Grayscale, and Fidelity have published variations on the theme that the cycle's structural drivers have fundamentally weakened. When Reinhart and Rogoff titled their history of financial folly This Time Is Different, they were documenting the phrase as a reliable prelude to disaster. Bitcoin's history suggests the phrase fails in both directions: it precedes neither the promised permanent bull market nor the promised permanent grave. Both versions assume that novelty at the surface implies a break in the structure underneath. Neither tends to examine whether the structure is actually breaking.
A growing body of work suggests it is not. The physicist Giovanni Santostasi has spent more than a decade arguing that Bitcoin is better understood as a complex adaptive system than as a conventional asset, closer in behavior to a growing city or a biological network than to a stock. In his framework, Bitcoin's key variables exhibit power-law relationships with one another and with time: addresses grow roughly with the cube of time, price with the sixth power, hashrate with the twelfth. The relationships are not independent. Adoption lifts price, price attracts mining capacity, mining capacity strengthens security, security deepens adoption. The loop repeats.
What makes this more than pattern-matching is that Santostasi can show, mathematically, why power laws emerge from such a system. Any process where the output becomes the next input produces a power law as its natural solution. Bitcoin is such a process: today's hashrate, mediated by the difficulty adjustment, conditions tomorrow's hashrate. Power laws are not what you get when something is growing fast; they are what you get when a system is recursively feeding on itself. This is the same mathematics that describes how cities scale with population, how metabolism scales with body mass, and how neural avalanches scale in the brain. In Santostasi's stronger formulation, Bitcoin sits at what physicists call a fixed point: a state whose essential structure is preserved as it grows by orders of magnitude, and which ordinary perturbations cannot dislodge. The framework places Bitcoin in the same broad family as self-organized critical systems such as earthquakes, neural networks, and sandpiles, which look chaotic up close and reveal deep regularity at scale.
One does not have to accept every element of that theory to take its implications seriously. The implication is that Bitcoin's volatility is not a flaw in the pattern but a feature of it. Bubbles and drawdowns are how a reflexive network digests each new layer of participation. The 2013 retail mania, the 2017 ICO frenzy, the 2021 leverage unwind, and the reset now working its way through 2026 are not anomalies interrupting the trend. They may be the mechanism by which the trend advances.
The theory recently cleared a bar most crypto models never approach: peer review. In June, Elsevier's journal Nonlinear Science published a paper by Santostasi and the astrophysicist Stephen Perrenod analyzing some 5,700 daily prices across nearly sixteen years, finding that a single power law with exponent near 5.7 explains roughly 96 percent of Bitcoin's long-run price variation, and arguing that the exponent is not a fitted free parameter but the composition of two independently established mechanisms, wave-like user adoption and network-value scaling. That does not settle the matter. The sharpest critique arrived a month earlier, from researchers who applied the strictest statistical protocols for detecting power laws and found the structural claim wanting: the fitted exponent shifts with the choice of time origin, and the data cannot cleanly distinguish a power law from stacked adoption curves. Yet the same study conceded a striking result: in out-of-sample forecasting, the simple power law beat every more complicated alternative at horizons from seven months to two years. The honest summary of the current science is that Bitcoin's deep structure remains contested while its regularity keeps outpredicting the models of those who doubt it. For an allocator, that second fact is the operative one. The theory has been put at risk, in public, by qualified critics, and its forecasts have so far survived the encounter.
What makes the pattern worth holding is that it reframes something otherwise puzzling: the persistence of institutional resistance. Bitcoin has survived more obituaries than most publicly traded companies will ever generate. It has been declared dead by central bankers, derided by Nobel laureates, and dismissed by several generations of the financial commentariat. And yet each cycle, a cohort of sophisticated allocators who spent the previous cycle explaining why the asset was uninvestable quietly revises their view. This is not because they are foolish. It is because they are human, and humans have a long record of underestimating systems that violate inherited intuitions.
The pattern is not new. Heliocentrism was not rejected because the evidence was weak; it was rejected because accepting it required abandoning an entire architecture of authority and self-conception. Germ theory was mocked for decades because physicians were offended by the suggestion that their own hands might be killing their patients. The early internet was ridiculed in print by serious people who could not imagine that anyone would buy a book from a screen. In each case, the resisters were not stupid. They were defending coherent worldviews against replacements that initially looked absurd and turned out to be correct. Compassionate history should note that the resisters were often the most credentialed people in the room.
Here the power law connects to a second framework that, at first glance, seems to contradict it. In Crossing the Chasm, Geoffrey Moore described the gap that swallows most new technologies: the discontinuity between the early adopters who embrace a thing for its own sake and the pragmatic majority who adopt only once it is safe, supported, and boring. Moore's adoption curve is usually drawn as an S, a story of stalls and gaps, the opposite of Santostasi's smooth power law. But the two need not be rival accounts of the same data. They may be the same terrain seen at different resolutions. From far enough away, aggregate adoption traces a clean line. Lived through at ground level, that line is composed of one excruciating chasm after another, each new cohort having to be persuaded against the intuitions the last one already abandoned. The institutional resistance the historians of paradigm shifts describe, and the chasm Moore's marketers fear, are the same phenomenon at two scales. Resistance is what the power law feels like from inside.
Moore, as it happens, has run this analysis himself. In a 2021 essay, he placed Bitcoin squarely at the chasm, waiting on what he calls pragmatists in pain: buyers stuck with a problem the status quo cannot solve, who adopt not because they believe what enthusiasts believe but because they need what the technology has. He doubted Bitcoin would ever see a tornado of mass adoption absent some external cataclysm, and sketched instead a "bowling alley forever" future, specialty use cases winning niche after niche, each success making the next easier. Notably, that is not a rebuttal of the power-law view. It is nearly a restatement of it. A power law has no tornado in it either. Both the skeptical marketing theorist and the physicist arrive, independently, at the same forecast: no single moment of arrival, just grinding, sequential, compounding adoption.
Which sharpens the question an allocator should actually be watching: which use case is currently knocking down the first pin? Several candidates are in contention. A payments rail. A non-sovereign store of value. And, increasingly, Bitcoin as collateral: an asset with no counterparty, no issuer, and no jurisdiction, posted against credit in a financial system that has spent a decade rediscovering how scarce genuinely neutral collateral is. This candidate now has data behind it. Crypto-backed lending reached $67 billion in the first quarter of 2026, up roughly half from a year earlier, and February brought a rated, Bitcoin-collateralized asset-backed security, an instrument that lets a pension fund hold exposure to Bitcoin's collateral function without ever holding Bitcoin. A bank research desk recently described this market's significance in terms Moore would recognize: collateral utility does not depend on price appreciation. That is the pragmatist's language. None of this guarantees collateral is the bridge. But it looks like the first cohort of pragmatists in pain, treasurers and credit desks with a concrete problem, adopting in production. Crossing a chasm is not evidence that the curve has changed. It is what the curve looks like while it is being climbed.
Which is why each cycle's declaration deserves a careful reading. It may be true in a narrow sense. The buyers are new, the plumbing is better, the product is finally whole enough for the next cohort. But none of that repeals the structure underneath. Consider the cycle just completed: with ETFs absorbing tens of billions and public companies holding Bitcoin on their balance sheets, the 2025 top still formed in the fourth quarter of the year after a halving, on the same calendar rhythm as 2013, 2017, and 2021. The participants changed. The clock, so far, has not. That the loudest cycle-is-dead claims now come from Bitcoin's most prominent advocates rather than its detractors does not make the claims new. It makes them the bull-market edition of a recurring genre.
None of this amounts to a forecast, and allocators should be cautious about anyone selling it as one. Models fail. Regimes change. Tail risks are real, and Bitcoin has more of them than most assets its size. The honest version of the argument is narrower and more interesting than a price target. It is this: the claim that Bitcoin's historical structure has finally been repealed is itself a recurring feature of Bitcoin's historical structure. It has been made in every cycle, by skeptics and believers alike. It has been wrong in every cycle. The prior that it will be wrong in this cycle is not certainty, but it is not nothing.
The deeper question for institutional investors is not whether to believe the thesis. It is whether the pattern of their own skepticism, its timing, its vocabulary, its confidence, rhymes a little too closely with the skepticism of every previous cycle. If it does, that is information. Not a signal to act, but a reason to examine the reflex.
Paradigm shifts rarely announce themselves. They arrive as things that everyone serious knows cannot work, right up until the moment they quietly already have.
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