BTC_POWER_LA

By the way, there is a deep irony here that most people miss.
Gold is rare for a very fundamental reason. In the normal life cycle of a star, elements can only be fused up to iron. Beyond iron, fusion no longer releases energy. It consumes energy. That breaks the delicate balance inside the star between gravity pulling inward and radiation pressure pushing outward.
As long as fusion produces energy, the star can sustain itself. But once it builds up iron in its core, that process stops. The star can no longer support itself, gravity takes over, and the core collapses. What follows is a catastr

A versão de bolso do livro está pronta, ainda trabalhando na capa dura. É um livro agradável, está em letra grande e parece mais um livro didático do que o habitual livro sobre Bitcoin.
Acho que pode ser usado como uma ferramenta poderosa de "orange pilling" nas mãos certas.
Por favor, envie comentários e sugestões enquanto o lê.

Bitcoin Live with the Power Law & Minotaur Team, #33 4/23/2026

The Bitcoin Live will start in few minutes here on X, YouTube and Twitch.
Giovanni and Marcus will discuss the new Bitcoin price movements.
Join us.

We should all be more like Hal.
I liked him before watching Finding Satoshi, I like him more now.
If he is part of who Satoshi is (and he was in more than one way) that is great.
Bitcoin is very much like Hal.

In my book "The Physics of Bitcoin" I have an entire section on Transhumanism and its connection to Bitcoin.
It is interesting than in the documentary "Finding Satoshi" Transhumanism is mentioned as one of the possible ingredients for understanding who Satoshi was.

"The Physics of Bitcoin" with Giovanni and Stephen #44 4/22/2026

Today there is no real excuse for remaining ignorant. Learn, deliberately, consistently, about everything that matters.
Make the time, even if your days are long and exhausting. Especially then.
Instead of drifting into mindless distraction, choose something meaningful. Study something beautiful. Build understanding, one day at a time.
Knowledge compounds. And one day, it may be the very thing that lifts you beyond the life you thought you were confined to.

Biological machines.

This graph is also very interesting. The upper panel shows the oscillation of the local slopes. We are taking the different with the global value 5.7.
You can see clearly the oscillations are equally distributed above and below 0.
The panel below extracts the log periodic oscillations of n and show the main harmonic being dominant up to they year 2020, when the interference from other harmonics becomes large and the dominant frequency is lost in these higher frequencies.
This is what created confusion in interpreting the quasi-4 years peaks in the last cycles.

Bitcoin wavelet log-periodic spectrum.
The persistence of the main harmonic is very evident (red band at the bottom).

Another remarkable graph.
This figure shows a spectrogram of Bitcoin’s price, expressed in log–frequency and log–time coordinates.
In this representation, the log-periodic harmonics appear as straight lines because they are constant in this transformed space. In linear time, those same components would stretch out and appear as decaying structures, which is why they are harder to identify in a standard spectrogram.
Notice the strong red band concentrated around the lowest fundamental frequency. This is clear evidence of a persistent signal in the price dynamics at that specific log-periodic fr

The Bitcoin real and imaginary projections in log(price) and log(time).
Symmetries everywhere.

All the 5 modes.

It is interesting that in the im(f), real(f) plane the oscillation look periodic when plotted in log(Price), same way that they look periodic when plotted in the Im(f) vs log(time).