Daniel Levite

@Giovann35084111 Yea! I got the book today! Got some reading to do!

@RoKhanna Please resign, clearly you have never read either the Constitution or the Geneva Conventions. You are clearly incompetent and are not capable of leading.

We need to invoke the 25th Amendment and remove Trump. Threatening war crimes is a blatant violation of our constitution and the Geneva Conventions.

@RoKhanna @TonyClimate @grok is it true that Constitution and the Geneva Conventions make it a crime to threaten war crimes like genocide?

@WhiteHouse @GOP @FLOTUS @POTUS This is the same guy who posted ‘Praise Allah’ earlier today and is planning to put a giant golden statue of himself in his Presidential library. It is so stupid I have been laughing since I heard it.

✝️"Melania and I would like to wish everyone a very Happy Easter! Whether you are heading out to Church or, watching Service from home, may this day be full of Peace and Joy for all who celebrate the Resurrection of Jesus Christ. HE IS RISEN!!" –President Donald J. Trump

@Giovann35084111 Is this covered in the book or is this new analysis since the book?

🧵 THREAD: We just proved Bitcoin's 4-year halving cycle is a fundamental eigenmode of the system Using eigenvalue decomposition (SSA + DMD), we discovered something remarkable about Bitcoin's price dynamics. Let me explain what we did and why it matters... 1/ What are eigenvectors? Think of Bitcoin price as a complex signal - like a symphony with multiple instruments playing at once. Eigenvectors are the "fundamental notes" that compose this symphony. Each eigenvector captures a distinct pattern in the data, ranked by importance. 2/ How we found them: Singular Spectrum Analysis (SSA) We worked in LOG SPACE (critical!) because Bitcoin spans 6 orders of magnitude ($0.05 → $125k). We created a "trajectory matrix" from the price history and decomposed it using SVD (Singular Value Decomposition). Think of it as separating the signal into layers. 3/ What we discovered: Eigenvector 1: 98.70% of variance→ This IS the power law: Price ∝ t^5.7 → The fundamental attractor of the system → Bitcoin's "base note" Eigenvectors 2-6: 1.29% of variance→ Oscillations around the trend → This is where the magic happens... 4/ Then we applied Dynamic Mode Decomposition (DMD) DMD extracts the "Koopman eigenvalues" - these tell us the frequencies and growth rates of oscillations. We found: Short cycles: 15-30 days (market microstructure) MODES 5-6: Period = 1,530 days = 4.19 YEARS The halving cycle! 5/ Why this matters: The 4-year cycle isn't just a coincidence or narrative - it's a fundamental eigenmode of Bitcoin's dynamics. Eigenvalue |λ| = 0.9985 (slightly decaying, stable oscillation). It exists as a persistent oscillation in log-space around the power law attractor. 6/ The physics: This is exactly what renormalization group theory predicts for complex systems: A power law fixed point (dominant eigenvalue) Log-periodic oscillations (subdominant eigenvalues) Stable, bounded dynamics (all |λ| ≈ 1) Bitcoin behaves like a critical system near a phase transition. 7/ Why log space was critical: In LINEAR space: 4-year cycle INVISIBLE (buried in noise) In LOG space: 4-year cycle CLEAR (eigenmode 5-6) Why? Halvings affect price MULTIPLICATIVELY (% changes), not additively. Log space reveals the true geometry of the dynamics. 8/ Reconstruction: Blue line = Eigenvector 1 + Eigenvectors 2-6 Red line = Power law fit R² = 0.9678 (better than raw data!) We reconstructed Bitcoin's full price dynamics from just 6 eigenvectors. The math works. The physics checks out. 9/ Bottom line: The Bitcoin power law isn't just a trend line. The 4-year cycle isn't just protocol mechanics. They're fundamental eigenmodes of a complex dynamical system - proven through eigenvalue decomposition. This is physics, not hopium. TL;DR: Decomposed BTC price into eigenvectors (SSA) Found power law = dominant eigenmode (98.7%) Found 4-year halving = oscillatory eigenmode (DMD) Reconstructed full dynamics from 6 components Log space was key Math + physics confirm: Bitcoin is a critical system

@HenrikZeberg @grok is it true the USS Gerald Ford is out of service as this post claims?

I’m certain few nations have taken notes on how to strike a US carrier. How damaging has this intelligence been to the general deterence in say South/East China Seas? That a previously perceived undefeatable military asset - may actually be defeatable? Can be overwhelmed by swarms of drones - and missiles… Some laundry fire btw!

@EYakoby @tedcruz @GOP @SenMcConnell @SenTedCruz @RNCResearch @SpeakerJohnson you all better stop laughing and start opposing this movement as the seriously unAmerican evil that it is. Not holding my breath…very sad.

BREAKING: In NYC at the “No Kings” rally, demonstrators waved Communist flags. No kings, but yes Communist dictators.

@tedcruz Sorry you are not paying attention. Sharia law is being observed all over the country with NO political opposition or campaign to resist it.

Let me be very, very clear. Sharia Law will never be allowed in Texas or the United States of America.

@SpeakerJohnson I judge the seriousness of your claim by watching the @GOP national campaign encouraging voters to leave and fight the leadership of the Democratic Party. So far nothing… none of the campaign messaging in my area even acknowledge the Democratic Party much less condemn them.

The root of this entire Democrat shutdown is a demand to reopen the border and to protect criminal illegal aliens.   Democrats prioritize murderous illegal aliens over American citizens. Look at their actions, their words, and their votes.

@Giovann35084111 I need more help in understanding how to use this information and how to read the charts. Thanks for the work.

3 methods to calculate the log-periodic spectrum of the residuals of the power law. Strong peak near the main harmonic and 2nd and 3rd harmonic have strong presence too. These are real signals.

@Giovann35084111 Do you cover this in the book

I had the intuition several years ago that bubbles might be an intrinsic property of the power law itself. One of my first attempts to model them was through a log-periodic framework—I knew it was connected to power laws, but I hadn’t explored that connection deeply enough at the time. @moneyordebt later revived this line of thinking and pushed the log-periodic approach further. Recently, I finally had the time to sit down and work through the connection more carefully. If the hypothesis is correct—that bubbles are log-periodic—then both the long-term trend and the oscillatory bubble behavior can be unified within a single framework: a power law with a complex exponent. The math is in the comments, but the result is truly elegant.

@Investanswers @realMaalouf Curious why do you care if it offends anyone?

@realMaalouf I hope this doesn't offend anybody, but this type of shit is beyond evil

The Taliban no longer allows Afghan women to see with both eyes. They already required women to cover their entire bodies, leaving only their eyes visible underneath the burqa. But now even that is being restricted. Women are now only allowed to see with one eye! Eid Mubarak!

@SpeakerJohnson @DHSgov And the @GOP is sitting on the sidelines complaining, and lamenting but doing nothing. No national campaign condemning the Democratic Party leadership, no killing the filibuster and getting the needed laws passed. Just nothing!

Democrats are intentionally creating chaos for American travelers and blocking paychecks for TSA agents so they can reopen the border. Their political games must stop. Fund @DHSgov.

@razib_ul47671 AI

Everyone’s hyped about Claude… but very few people know how to actually use it to replace real work. I’ve compiled 700+ powerful prompts that turn Claude into a serious productivity machine—for writing, research, business, marketing, coding, and more. If you want them all: 1. Like this post 2. Comment “AI” I’ll DM you the full prompt library. 🚀

@Giovann35084111 Do any of your indicators show this green line or is this a new calculation?

A 200-week window is essentially a four-year average. When you smooth Bitcoin’s price over that horizon, what emerges is very close to the floor defined by the power law. So why do people use this approximation of the underlying behavior? In many cases, it’s because they don’t want to explicitly acknowledge the power law. The 200-week average feels safer—more familiar and less committal. But that clean, stable signal would not exist unless there were a real regularity in Bitcoin’s price dynamics. The average is not the phenomenon—it is a reflection of it. It is simply a low-resolution projection of the deeper, scale-invariant structure that governs Bitcoin’s long-term evolution. Green straight line or wiggly blue line?

@Giovann35084111 Super I look forward to reading your math and scientific observations that prove that. When are you planning for this release.

@LeviteDaniel All the first chapters are about this. There is no design.

My next book is entitled: The Purposeful Universe Finding Meaning in a Meaningless Universe The book chapters are below:

@BitcoinPowerLaw I do!

This is coming together nicely (thanks to Claude and ChatGPT). Who wants a copy of our time-weighted quantile power law TradingView overlay when it's done?

@moneyordebt So are you still thinking the next top is in the second half of 2027?

It’s a log periodic structure as befits the discrete scale invariance expected for a continuous scale invariant (power law adhering) monetary network. The graph is the log price residuals after subtracting the power law. No 4 year cycles. Fundamental and subharmonic modes dominate and some small contribution from other harmonics. The spacing is in logarithmic time with a ratio of 2.07 determined via Fourier analysis of the residuals and confirmed by wavelet analysis. A complete treatment includes phase which is stable over time for the fundamental. @Fidelity Personal note: they couldn’t support some of my accounts after I moved overseas because of the 86 years old Investment Company Act of 1940. So more went into third millennial monetary technology under my own direction.

@Giovann35084111 When will it be released? Looking to study it.

The Physics of Bitcoin book will have several "Math Boxes" as the one below. This will allow the reader that needs a refresher of math to catch up and go a little deeper in his understanding of the ideas behind the power law. The book is out for pre-order. Order your copy now. It is a special pre-order price. Link to the book in the comments. Why the power law looks like a straight line in a log-log graph?