BTC_POWER_LA

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In the Scientific Bitcoin show a question was raised about the modal power law. Here is the result.
The three centres separate cleanly, and the mode is far below the mean.
method exponent trend today
OLS — conditional mean 5.658$ 130,444
quantile median 5.849 $124,733
modal — global parametric 5.888 $89,707
actual price today—$76,620.
The residual mode sits at −0.79σ, against a median of −0.21 and a mean of 0 by construction. That's a large separation, and it's what a skew of +0.85 does.
Two things follow.
The modal line is 0.69× the OLS line — about a third lower. And price sits above it
BTC+0.81%
Ragusa Sicily.
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"The Physics of Bitcoin" with Giovanni and Stephen #55 9/9/2026
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We will have another episode of the Physics of Bitcoin at 3:30 PM CET, 9:30 AM EST.
The agenda is below, join us on X, YouTube and Twitch.
The links are in the comments.
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Nietzsche called it the most genial building ever created.
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Near my home in Torino
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"The Physics of Bitcoin" with Giovanni and Stephen #54 9/23/2026
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In Hong Kong spreading the Power Law good news.
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POWER-4.27%
BItcoin Science Live August 20
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Didn't I say August was the bottom? 😉
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I missed like air this kind beauty. Architecture is food for the soul.
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"The Physics of Bitcoin" with Giovanni and Stephen #52 8/6/2026
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Dante and Ulysses merge.
This should be another Bitcoiners motto.
Bitcoin is more about knowledge than a mere asset.
The lines are from Dante’s Inferno, Canto XXVI, in the famous speech of Ulysses (Ulisse) to his companions:
«Considerate la vostra semenza:
fatti non foste a viver come bruti,
ma per seguir virtute e canoscenza.»
A good English translation is:
“Consider your origin:
you were not made to live like beasts,
but to pursue virtue and knowledge.”
Or, a little more poetically:
“Remember what you were born to be:
you were not made to live as brutes,
but to seek excellence and knowled
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BTC+0.81%
Dante and Ulysses merge.
This is this should be another Bitcoiners motto.
Bitcoin is more about knowledge than a mere asset.
The lines are from Dante’s Inferno, Canto XXVI, in the famous speech of Ulysses (Ulisse) to his companions:
«Considerate la vostra semenza:
fatti non foste a viver come bruti,
ma per seguir virtute e canoscenza.»
A good English translation is:
“Consider your origin:
you were not made to live like beasts,
but to pursue virtue and knowledge.”
Or, a little more poetically:
“Remember what you were born to be:
you were not made to live as brutes,
but to seek excellence and
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BTC+0.81%
When people say the power law is useless even if true.
They are clueless.
Well what about using it to get 1300 BTC starting from 1 in 2014?
Not other information, deviation from the power law alone (useful in combination with slope info), volatility, can help you to achieve this.
Also if you want only a 80 % drawdown you still get 30 BTC.
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I'm exploring with Claude a DCA and small leverage strat with Claude using the deviation and daily slopes from the power law.
This chart shows the growth in Bitcoin terms achieved by a strategy based on a Hidden Markov Model (HMM) of Bitcoin’s local power-law slopes. The model identifies different dynamic market regimes and assigns an actionable exposure to each state, ranging from a cash/Bitcoin combination to full Bitcoin and modest leverage (~1.5×).
Importantly, the results are based not only on backtesting but on a walk-forward test from 2014 to the present, where each decision uses only
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BTC+0.81%
Something needs to change. We need more people not less.
We need to bring humanity intelligence and creativity to the dead stars.
In a bookstore near to you.
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I didn't check the if the stats are correct (I can feed the correct data) but these are cool cards for my Blood Angels Warhammer 40 K Army.
AI is just amazing.
It doesn't matter the unit you use, it is always power laws with Bitcoin.
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