pith. sign in
theorem

pi0_error_simplified

proved
show as:
module
IndisputableMonolith.QFT.Anomalies
domain
QFT
line
83 · github
papers citing
none yet

plain-language theorem explainer

The rational equality 12/852 = 1/71 is established as an algebraic simplification step inside the neutral-pion lifetime error computation. Researchers verifying the Recognition Science prediction for π⁰ decay would cite it when confirming the match to experiment lies inside 2 %. The proof is a direct one-line normalization of the rationals.

Claim. $12/852 = 1/71$ holds in the rationals.

background

The module derives quantum anomalies from 8-tick phase mismatches, with the chiral anomaly for π⁰ → γγ arising when discrete phase quantization breaks classical axial symmetry. The upstream lifetime definition supplies the decay rate as phi raised to an integer power in RS-native units. The present equality is invoked inside the relative-error calculation that compares the phi-ladder prediction against the observed π⁰ lifetime.

proof idea

The proof is a one-line wrapper that applies norm_num to reduce the rational equality.

why it matters

The result closes a computational step in the pi0_prediction_within_2_percent claim, confirming that the 8-tick phase mismatch reproduces the observed π⁰ lifetime to the stated precision. It therefore supports the T7 eight-tick octave as the source of the chiral anomaly in the Recognition Science forcing chain.

Switch to Lean above to see the machine-checked source, dependencies, and usage graph.