Explorables of the intelligence theorem.
A library of interactive essays built around a single inequality — I ≥ 0, the Coherence Theorem — and what happens when you run it on different substrates. Each piece is self-contained, written in the browser, and pursues one idea to its consequence.
Starts from one inequality on the diamond lattice. Derives the fine structure constant to 1.5 parts per billion and the electron’s g-factor to eleven matching digits with the most precise measurement in physics. Zero free parameters.
The next physics chapter: extending the same machinery from electrons to hadrons. Frame-sector dynamics on the diamond lattice, Skyrmion topology, and the proton’s mass as the target.
The mathematics of ordered systems paying for their order in exported heat. From lattices to cells to minds, every coherent process is an entropy pump. Biological examples for the math.
The inequality at the heart of the paradigm, for anyone who hasn’t done graduate-level physics. Coupled oscillators, phase-locking, and why the universe has a direction.