IndisputableMonolith.Verification.Exports
Verification export module packaging the dimensionless 45-gap clock-lag fraction identity δ_time = 3/64. Citation target for anyone wiring RS timing residuals into external checks or constant tables. Structure is a thin export surface over the named identity sibling, not a deep proof development.
claimModule export of the dimensionless clock-lag fraction identity $\delta_{\mathrm{time}} = 3/64$ associated with the 45-gap.
background
Recognition Science fixes timing and mass structure on the $\varphi$-ladder with an eight-tick octave (period $2^3$) and discrete gap corrections. The 45-gap is one such structural offset; the associated clock-lag fraction is the dimensionless residual $\delta_{\mathrm{time}}$ that measures how that gap shifts phase relative to the base tick.
This module sits in the Verification domain. It does not re-derive the forcing chain (T0–T8). It surfaces a single numerical identity already established elsewhere so downstream verification and export layers can cite a stable name rather than inline arithmetic.
The sibling gap_delta_time_identity is the concrete carrier of $\delta_{\mathrm{time}} = 3/64$. The module itself is the export barrel: Mathlib import only, no local lemma graph.
proof idea
Definition and export module, not a proof development. The mathematical content is the named identity $\delta_{\mathrm{time}} = 3/64$ for the 45-gap clock-lag fraction; any proof lives on the sibling declaration, not in this barrel.
why it matters in Recognition Science
Gives Verification a single stable handle on the 45-gap timing residual used when RS predictions are checked against external clocks or constant tables. Ties to the eight-tick octave and gap structure on the $\varphi$-ladder without reopening T5–T8. Parent consumers are export and verification layers that need $\delta_{\mathrm{time}}$ as a pure rational rather than a derived expression. No open scaffold: the identity is the product being shipped.
scope and limits
- Does not prove δ_time = 3/64; only exports the identity.
- Does not derive the 45-gap from the forcing chain T0–T8.
- Does not fix dimensionful units; the fraction is dimensionless.
- Does not address mass-ladder rungs or α-band numerics.
- Does not import or re-export other verification identities.