Large Numbers Hypothesis Revisited

I was playing around with fundamental constants and out popped 13.8 billion light years. What is going on? the wavelength of an electron mass photon / (2pi) * the charge radius of a proton / the black hole radius of a proton = 13.8 billion light years ((h / (m_e * c * 2pi)) * (h / (m_p * c * pi/2)) / (2G * m_p / c^2)) = 13.8 billion light years…

Context: I'm looking at Norman Wildberger's rational trigonometry[1], and here I was wondering how useful it is in physics. So I thought about testing it with the famous simple pendulum exercise. It's not obvious we get any FPS gain, but still I find it cool to even be able to get the same result differently. 1. https://en.wikipedia.org/wiki/Rational_trigonometry

Planet Money A/B tests an ep about A/B testing

Hi HN! I’ve spent the summer of the past 2 years building The Atlas, a procedural universe simulator that generates 1 sextillion galaxies (10²¹) from a single mathematical seed. Think No Man’s Sky meets theoretical physics, but running entirely in your browser. Everything is purely deterministic, the universe is calculated from SHA-256 hashed seeds using the golden ratio as primordial constant. There’s no database, no pre-saved data, just pure math. Time itself is treated as a coordinate, so the universe exists as a 4D structure where any moment can be computed on demand. Shut it down for…

Hi HN! I built this after seeing several references to Election Truth Alliance on social media, and after reading their analysis, I just couldn't get the problems I saw in it out of my head. So I downloaded the data, and rebuilt their full analysis from scratch. Their critical error is a simple misunderstanding of the Law of Large Numbers: values collected in large samples converge to the true probability in the sample distribution. (not to be confused with the Law of Very Large Numbers: which states that unlikely things happen given enough time. That confused me too) Technical Details: - No…