Ledger: notes/QUESTIONS-2026-07-19.md §I item 2, as amended at phase 102
Status: partially resolved. Within the geodesic-attached algebra M_γ the normalization is forced — one KMS time drives both legs at ratio 2π : 1, with exact endpoint eigenvalues |γ′(ξ±)| = e^{∓ℓ(γ)}. The 2π is derived, not chosen, in the one algebra where both layers share a flow (phase 102).
What remains open. The framework-wide identification of this normalization lock with the relation 𝒯 = 2πR/c — currently an [interpretation], not a theorem. Is there a canonical argument that promotes the M_γ-local lock to a global statement?
Relevant material: phases/phase99-JOIN2.md, phases/phase102-JOIN3b-attempt.md.
Ledger:
notes/QUESTIONS-2026-07-19.md§I item 2, as amended at phase 102Status: partially resolved. Within the geodesic-attached algebra M_γ the normalization is forced — one KMS time drives both legs at ratio 2π : 1, with exact endpoint eigenvalues |γ′(ξ±)| = e^{∓ℓ(γ)}. The 2π is derived, not chosen, in the one algebra where both layers share a flow (phase 102).
What remains open. The framework-wide identification of this normalization lock with the relation 𝒯 = 2πR/c — currently an
[interpretation], not a theorem. Is there a canonical argument that promotes the M_γ-local lock to a global statement?Relevant material:
phases/phase99-JOIN2.md,phases/phase102-JOIN3b-attempt.md.