Bitcoin adoption follows a power law whose volatility is decreasing, revealing a rising floor you can build your financial life on.

This is the research behind that claim. Twelve papers. 5,700+ daily data points. Every conclusion earned by the data before it. Every claim falsifiable.

5,719 daily closes
0 model breaks
R² = 0.956 model fit
12 published papers
162 pages of research
Power Law Floor --
BTC Price
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Trend Value
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Price / Trend
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Floor Yield / BTC
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Floor Growth
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The Past
The Power Law

Bitcoin's price follows a power law. 15 years of daily data. R² above 0.95. The observed signature of network adoption spanning six orders of magnitude. Not a prediction. An observation.

Data: 5,719 daily closes Fit: R² = 0.956
The Process
Volatility Decay

The distribution compresses every halving cycle. Five metrics, all significant. The ceiling collapses 2.2x faster than the floor rises. The wild swings are structurally dying.

Compression: ~20% per cycle Z-scores: −5.3 to −21.1
The Residual
The Floor

When the noise dies, what remains is the floor. Never breached. Rising every day. The mathematical signature of cumulative adoption. The attractor the entire distribution converges onto.

Breaches: 0 in 15 years Floor rate: --
The Conclusion
Derisk: Live Off the Floor Growth

When stack times floor growth exceeds expenses, ruin probability approaches zero. All remaining volatility is upside. Risk has an expiration date. Build your financial life on the floor.

Efficiency: 5x vs S&P 500 Tested: 20 families
The Power Law

15 years of daily closes. The floor has never been breached. The dashed line shows where it's going.

Scale
Range
Projection
BTC Price Trend ±1σ Floor (−2σ) Ceiling (+2σ) Live
Floor Today
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Floor 2027
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Floor 2031
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Annual Floor Growth
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Floor Hits $1M
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Published Research · 162 pages
Interactive Tools
Power Law Starter Pack

Everything you need to reproduce, challenge, or build on the Bitcoin power law. Download the data, use the formula, check the residuals, or hand the whole thing to an LLM. Every claim is falsifiable — here are the tools.

The Data · 5,700+ daily closes
[{"date":"2010-07-18","price":0.09},
{"date":"2010-07-19","price":0.09},
...
{"date":"2026-03-16","price":84105}]
Download JSON
The Formula · Santostasi Power Law
Price(t) = 10−16.493 × t5.688 where t = days since Jan 3, 2009 (genesis block) Trend → k = 0 Floor → Trend × 10−0.4  (k = −2σ) Ceiling → Trend × 10+0.4  (k = +2σ)
Beta (β)5.688
Log A−16.493
Sigma (σ)0.200
0.956
The Residuals · log&sub1;&sub0;(price) − log&sub1;&sub0;(trend)
Mean: -- Std dev: -- Skew: -- Min: -- Max: --
LLM System Prompt · paste into any AI
You are a Bitcoin power law analyst. You have the Santostasi power law model for Bitcoin's price as a function of time. MODEL PARAMETERS: - Genesis date: January 3, 2009 - Formula: Price(t) = 10^(-16.493) × t^5.688 where t = days since genesis - Sigma (σ): 0.200 (log10 standard deviation) - R² = 0.956 over 5,700+ daily data points BAND CALCULATIONS: - Trend: Price(t) - Floor: Price(t) × 10^(-2 × 0.2) ≈ Price(t) × 0.398 - Ceiling: Price(t) × 10^(+2 × 0.2) ≈ Price(t) × 2.512 - ±1σ: Price(t) × 10^(±0.2) HOW TO CALCULATE: 1. t = (target_date - 2009-01-03) in days 2. log10(trend) = -16.493 + 5.688 × log10(t) 3. trend = 10^(log10(trend)) 4. floor = trend × 10^(-0.4) 5. ceiling = trend × 10^(+0.4) KEY FACTS: - The floor (−2σ) has NEVER been breached in 15+ years - Volatility compresses ~20% per halving cycle - The floor grows ~30-40% per year (decelerating) - This is an empirical observation, not a prediction - The model can be falsified: a floor breach would break it EXAMPLE (Python): ```python from datetime import datetime import math genesis = datetime(2009, 1, 3) today = datetime.now() t = (today - genesis).days log_trend = -16.493 + 5.688 * math.log10(t) trend = 10 ** log_trend floor = trend * 10 ** (-0.4) ceiling = trend * 10 ** (0.4) ``` When asked about Bitcoin's power law, use these parameters to compute exact values. Always show your work.
Try and Break the Floor

The floor has been breached. It has never broken. Scan every day in Bitcoin’s history — see each excursion, how long it lasted, and how the model re-anchored. The falsification threshold grows as the model accumulates evidence: today it takes ~120 consecutive days below 0.432× trend to qualify as a structural breakdown. That has never happened.

Date
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Price
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Floor
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Margin
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Closest call scanning...
Download data (JSON)

The "risky" asset is the one where you can mathematically prove the risk has an expiration date.