This is the most rigorous Bitcoin paper I've read. I've been studying — and testing — it for 20 days. scientificbitcoininstitute.o… Dr. Santostasi and Dr. Perrenod gave us the ruler — and the imagination to see the oscillator. Together: the most falsifiable framework in crypto economics. The Power Law isn't just a model — it's the most precise ruler we have for measuring where Bitcoin stands. Most models describe the past. The Power Law keeps passing tests it was never designed for. "Isn't β=5.69 just curve-fitting?" Fair question. So I ran a test the paper didn't. ━━━━━━━━━━━━━━━━━━━━━━ Materials & Methods ━━━━━━━━━━━━━━━━━━━━━━ Data: Daily closing price and non-zero balance address count (BitcoinMagazinePro, 2010-08-17 to 2026-06-04, n=5,771). Model: log₁₀P(t) = log₁₀A β·log₁₀(t) where t = days since Genesis Block (2009-01-03). Out-of-sample design: The power law was fitted exclusively on data up to the freeze date, with zero observations from the test period used in estimation. Two freeze points were tested: ① Freeze at 2016-07-08 (2nd halving) Training: n=2,153 | Test: n=3,617 (10 years) ② Freeze at 2020-05-10 (3rd halving) Training: n=3,555 | Test: n=2,215 (6 years) Residuals computed as: ε = log₁₀(P_observed / P_predicted) normalized by in-sample σ. Mean residual and area integrals (trapezoidal rule) applied to test period only. The out-of-sample test was my idea. Computation and analysis executed with Claude Opus 4.8 (Anthropic). ━━━━━━━━━━━━━━━━━━━━━━ Froze the power law using data up to 2016 only (β=5.717). Then measured the following 10 years it had never seen. Result: mean residual −0.05σ. Effectively zero. Frozen at 2020 instead → next 6 years, −0.13σ. Same story. The line drawn in 2016 ran straight through the next decade. That's not fitting. That's forecasting. The Power Law: powerful because it can be broken — and hasn't been. Knowing where we are won't tell us when things will happen — but it tells us exactly what to do now. Buy Bitcoin Now. @Giovann35084111 @moneyordebt @ScientificBTC @saylor @natbrunell #Bitcoin #PowerLaw

I have been marveling at the "life of a token" this is the current chart for $BIGNOODLE. Wait until we get this to 10cents. then $1. then $10. Launching our utility token for our Depin is a HUGE unlock for us to put all plans into motion - our time is now! Huge thanks to @natdotfun NAT.FUN for launching us.

The $BIGNOODLE artwork has been revealed! Big thanks to @natdotfun @TheBlockRunner for the tech support, you guys are a life-saver. Lore : This art fits into the HIROS sci-fi universe. 1st you got HIROS, then CIPHERS... now SKILLERS, short for Squid-Killers. These are our infantry, they stave off the waves of Cthulhans known to attack human encampments. Burn them with fire, pound them with mallets, dice them with katana. #SaveTheChainSaveTheWorld #DMT $NAT $BIGNOODLE Save the chain, Save the world!

We reframe compute as an asset class, allowing us to ascribe value to compute capacity for your upside in AI & AI compute. How we use $NAT? $NAT is a subsidy for Bitcoin rewards, it solves a problem which will only get worse across future halvings. NAT keeps miners plugged in! Bignoodle puts AI compute on common ground with BTC & NAT, tradeable. We’ll accumulate a $NAT treasury, raising its floor, & also to equalize our own token’s volatility. Bignoodle abstracts $NAT as Solana’s very own Proof of Work... in an AI context. We will always support $NAT and continue to explore ways to integrate it as AI and the compute markets evolve. BULLISH!

WE GRADUATED? CONGRATS!!! CA is RszpWXeCRFhKg2DV4MeCZYe1WEsZ6M5Wpgr5SyB1nat We all did it! We’re here now!!! What’s next? Firstly, thank you! Infinite thanks! Next, I think it’s natural to expect some major ups & downs. The market’s terrible, some folks will dump. Not bc they want to, but maybe to survive... Do what you must brothers & sisters. Everyone else, those who are able to hold... Equilibrium will be attained. A moment of quiet... Then? MASSIVE LAUNCHES! Each one capable of driving green candles! Roadmap incoming. Stick with us for rewards across $NAT, $TAP, & of course, $BIGNOODLE. All boats rise!

WE GRADUATED? CONGRATS!!! CA is RszpWXeCRFhKg2DV4MeCZYe1WEsZ6M5Wpgr5SyB1nat We all did it! We’re here now!!! What’s next? Firstly, thank you! Infinite thanks! Next, I think it’s natural to expect some major ups & downs. The market’s terrible, some folks will dump. Not bc they want to, but maybe to survive... Do what you must brothers & sisters. Everyone else, those who are able to hold... Equilibrium will be attained. A moment of quiet... Then? MASSIVE LAUNCHES! Each one capable of driving green candles! Roadmap incoming. Stick with us for rewards across $NAT, $TAP, & of course, $BIGNOODLE. All boats rise!