no_observed_cpt_violation
plain-language theorem explainer
Recognition Science encodes the absence of observed CPT violation by showing its mass bound lies below 10^{-6}. Experimental physicists testing discrete symmetries in QFT would cite this to match current precision limits. The proof is a direct numerical check against the precomputed bound value.
Claim. The CPT violation bound (proton-antiproton relative mass difference) satisfies $cpt_mass_bound < 10^{-6}$.
background
The module derives CPT invariance from Recognition Science ledger symmetry. Charge conjugation follows from the J-cost symmetry J(x) = J(1/x). Parity arises from the 3D voxel lattice isotropy. Time reversal follows from the bidirectional eight-tick cycle. The upstream definition supplies the concrete bound: cpt_mass_bound is the rational 1/10^9, representing the experimental proton-antiproton relative mass difference.
proof idea
The proof is a one-line wrapper that applies the norm_num tactic to the definition of cpt_mass_bound, confirming the numerical inequality 1/10^9 < 1/1000000.
why it matters
This theorem anchors the CPT invariance derivation to experiment. It supports the ledger-symmetry approach in the module for obtaining CPT from Recognition Science's discrete structure, consistent with the eight-tick octave and D=3. No downstream uses appear, so the result functions as an empirical closure rather than an intermediate lemma.
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