Cp channel identities
v561_cp_channel_identities.py · flavor
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CP.CHANNEL.IDENT.01: the CP channel / invariant identities (T177, contract CP.INVARIANT) — the CP mirror as algebra: the prime-front gauge-degree toolkit turned on the four CP ledger rows, promoted as exact narrowings (no marker moves, no CP derivation claimed): (1) the HEXAGONAL CHANNEL IDENTITY — on the CM unit ρ = e^{iπ/3} the E₈ split 248 = 120+128 has an EXACT fiber realisation, Σ_k ρ^{d_k} = 4ρ (arg = π/3 exactly) and Σ_k ρ^{m_k} = 4 (arg = 0 exactly), with the parity typing forced by integer parity (degrees even ⇒ phase channel SHEET-EVEN, exponents odd ⇒ magnitude channel SHEET-ODD) — consequence: the phase-channel angle is sheet-blind, it carries π/3 but cannot distinguish quark from lepton; mutations break on e^{iπ/5} and on mutated lists; honest caveat wired as a check (reality of the exponent sum alone is not hexagon-specific); (2) ZERO PHASE IN THE MAGNITUDE DATA — arg(∏c) = 0 exactly on both TFPT sectors, and the μ₃ branch group is the kernel because its order divides N_fam = 3 (a μ₄ branch already shifts the phase): the REDTEAM.D.01 residual is a FIBER datum, not a magnitude datum; (3) TIER-1 EMPTINESS by the blindness theorem — both kernels commute with conjugation, so every π/3-carrier is κ-odd and invariant+odd ⇒ Im F = 0: strict invariance is empty on π/3-carriers, per algebra; (4) the FRAME REMOVAL — det(1,d,n) = 21 and Im det(1,d,ρn) = 21 sin(π/3) exactly, the orientation functional homogeneous of degree +1 in the frame normalisation (21 sin(π/3) is FRAME data), and Im(ρ det)/det = Im ρ = sin(π/3) exactly: the invariant core is a fiber datum, the sign a declared orientation (the DUAL.FRAME.01 narrowing); (5) the TWO TIER-2 CHARACTERS — P2 = arg Σρ^{d_k} at (χ(κ),χ(σ)) = (−1,+1), V5 = Im(ρ det)/det at (−1,−1), homomorphisms verified on the full four-group: two INEQUIVALENT invariants carry the same π/3 (the DEGENERATE verdict as algebra), neither frame-coupled — plus the Jarlskog anchor (TFPT CKM rebuild unitary to 1e-41, J = 3.327021e-5 = v88; J passes rephasing/CP-oddness and fails only the π/3-carrier test: the benchmark validates the criterion, the full δ = π/3 + 3λ_C² has no character — the CP.MOD.01 scope narrowing); R1/R2 typed OPEN, REG.FREEZE.01 untouched (25 checks, ~1 s)
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