IndisputableMonolith.Gap45.TimeLag
The Gap45.TimeLag module defines the rational time lags lag_q and lag_r for the Gap45 sector. It states that the lag equals 45/(8*120) which simplifies to 3/64. Physicists modeling time delays in the Recognition Science phi-ladder would reference these values when analyzing the eight-tick octave. The module performs the rational arithmetic using Mathlib and contains no theorems or proofs.
claimThe time lag parameter in the Gap45 framework satisfies $45/(8*120)=3/64$, with lag_q and lag_r denoting the corresponding rational quantities.
background
Recognition Science derives physics from the J-uniqueness and phi fixed point in the forcing chain T0-T8. Gap45.TimeLag sits within the Gap45 domain and introduces the time lag as a rational multiple tied to the octave period 2^3. The module doc-comment gives the explicit computation 45/(8*120)=3/64. lag_q and lag_r are the sibling definitions providing the q and r components of this lag. The setting assumes the standard RS-native units with c=1 and the phi-ladder for masses.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the time lag constants required by parent structures in the Gap45 sector, such as those handling defectDist and time evolution in the Recognition Composition Law. It fills the rational simplification step for the 45-unit gap in the eight-tick framework, enabling downstream calculations of Berry creation thresholds and Z_cf values.
scope and limits
- Does not derive the 45 factor from the J-cost function.
- Does not connect the lag to spatial dimensions D=3.
- Does not include numerical evaluations or floating point approximations.
- Does not reference upstream lemmas from UnifiedForcingChain.