Bitcoin 4-Year Halving Cycle Confirmed by Two Independent Models

Two separate Bitcoin price models have landed on nearly identical conclusions. The 4-year halving cycle is not just market lore. It shows up as a natural mathematical feature of Bitcoin's log-price data.

David Eng, posting on X as , laid out the comparison in detail. He noted that independent researcher Giovanni had already proved the 4-year rhythm is what he called a "natural eigenmode" of Bitcoin's log-price dynamics. No functional form was assumed. The pattern emerged from the data itself.

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When Two Models Say the Same Thing

Eng's own model takes that further. He built what he described on X as a "production-grade, stable, bootstrapped forecasting engine" running on explicit supply shock mechanics and a Demand Shock Index. The model ran 200 bootstrap trials. All 200 succeeded.

That's not a rounding error. 200 out of 200.

The rolling window of the model has held stable since roughly 2015. Eng pointed out it also shows clean out-of-sample forecasting skill for the period after 2020, which matters. That's when Bitcoin's price behavior became harder for older models to track cleanly.

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The small period difference between the two researchers is, according to Eng, negligible. Giovanni's data-driven result puts the cycle at 4.19 years. Eng's model uses a fixed 3.797-year period. Both sit within a few percent of the designed 4-year block-halving interval.

The Halving Physics Behind the Numbers

Bitcoin's supply shock is not accidental. The protocol cuts miner rewards every 210,000 blocks, roughly every four years. That design choice is what Eng's model treats as a physical input rather than a statistical assumption. His framework builds the halving directly into the price dynamics.

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His model's own internal "4-Year Cycle" test logged 1,307 days, equal to roughly 3.58 years. That still outperformed a pure power-law model by a wide margin, the post confirmed.

As Eng wrote on X, "The tiny period difference is negligible, both are within a few percent of the designed 4-year block-halving interval." He added that the two researchers had arrived at "essentially same results" from different methodological angles.

What Giovanni proved through data-driven eigenmode extraction, Eng replicated through a structured physics-based engine. The convergence is the point. Two different lenses, one conclusion.

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For Bitcoin price cycle research, that kind of independent corroboration is rare. Most cycle models rely on the same price chart read through different indicators. This case involves distinct mathematical approaches arriving at the same underlying period.

The 4-year halving cycle, it appears, is baked into Bitcoin's price structure at a level deeper than chart patterns alone.