pionMultiplet
plain-language theorem explainer
The declaration sets the pion multiplet cardinality to the natural number 3. Physicists deriving meson masses on the phi-ladder cite this count when separating the charged and neutral states in the triplet. The assignment follows at once from the eight-tick octave modulo 5.
Claim. The pion triplet consists of three members, so its multiplicity is the natural number $3$.
background
The Pion Masses Derivation module treats pions as the lightest mesons arising from quark-antiquark binding on the phi-ladder, with masses fixed by the RS mechanism that includes explicit chiral symmetry breaking and the GMOR relation. Upstream, the constant tick supplies the fundamental time quantum equal to 1, and the same module records that one octave equals 8 ticks. The local comment ties the value 3 directly to the relation 8 mod 5.
proof idea
This is a direct definition that assigns the constant 3, with the accompanying comment supplying the modular link to the eight-tick period.
why it matters
The definition supplies the multiplicity used by sibling mass expressions in the same module. It instantiates the T7 eight-tick octave from the forcing chain, where the period 2^3 produces the observed triplet count via modular reduction. No downstream theorems are recorded yet.
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