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

Imagine opening Fox News and seeing a Democrat at 53% in Texas.

이우석이 양궁 남자 개인전에서도 금메달을 따면서 이번 대회 한국 선수단의 5번째 2관왕이 됐다는 소식을 봤다. 같은 날 김주형은 골프 남자 개인전에서 우승해 16년 만에 한국 남자 골프 개인전 금메달을 가져왔고, 중학생 최지운은 요트에서 마지막 두 레이스에 순위를 뒤집어 금메달을 땄다. 반면 한국 양궁은 여자 리커브에서 금메달이 하나도 없었는데, 아시안게임 역사상 처음이라고 한다. 3일 오후 5시 기준 한국은 금메달 36개로 종합 3위지만, 목표에는 아직 못 미친다. 좋은 소식과 아쉬운 소식이 한 날에 같이 나오니, 메달 숫자 하나로 이번 대회를 평가하기는 어렵다고 느꼈다.

와우.👍👍👍👍👍👍👍👍👍👍👍👍👍🫡🫡🫡🫡🫡🫡🫡

그러게 처음부터 인정하지 왜 박쥐같이 끈을 안놓으려고함?ㅋㅋ 싫으면 남자답게 싫다고해 어중간하게 이쪽저쪽 들러붙으려하니까 역겨운거임. 비굴하게 기생하지말고 좀 꺼저라 ㅋㅋ

예전에는 나를 차단했더니만 (난 누군지도 몰맀음) 이제와서 차단풀고 지껄이는걸 보면 뭔가 긁혔나 봄.ㅋ

🇺🇸 Citi just lifted its 12-month Bitcoin price target to $113,000 up from $82,000. The bank also raised its Ethereum target to $3,028, pointing to growing crypto activity and a rebound in ETF inflows.