T5 — reduced attractor μ* = 15
Exact rational verification that μ* = 3 + 5 + 7 = 15 is the reduced-sector fixed point, with an attractive basin.
Verification scripts
Five emblematic scripts from the PT monograph, runnable directly in your browser via Pyodide (Python 3.13 compiled to WebAssembly). No server round-trip; everything runs locally.
Exact rational verification that μ* = 3 + 5 + 7 = 15 is the reduced-sector fixed point, with an attractive basin.
Verifies the algebraic identity sin²(θ_p) = δ_p(2 − δ_p) on all active and inactive primes up to p = 23.
Reproduces α_EM = 1/137.036 from the bare product over {3, 5, 7} and the R51 dressing cascade, 0.004 ppb from CODATA.
Verifies 113 conditions of the three uniqueness lemmas (spectral rigidity E, metric reconstruction F, Hilbert space G).
Battery of tests for mathematical tools (algebra, group theory, spectral geometry). Largest file (2859 lines).
Source code for the five scripts: see
github.com/Igrekess/PersistenceTheory.
Scripts served here are copied from the repo’s scripts/ folder.