IndisputableMonolith.Measurement.C2ABridgeLight
The C2ABridgeLight module exports existence of C and A with C = 2A where exp(-C) aligns with the two-branch geodesic rate action. Physicists modeling quantum measurement collapse via rotation geometry cite it when linking rate actions to exponential factors in Recognition Science. The module imports TwoBranchGeodesic and supplies a lightweight interface with no internal proofs.
claimExistence of $C, A$ such that $C = 2A$ and $e^{-C}$ matches the factor derived from the geodesic residual norm $||R|| = π/2 - θ_s$.
background
This module sits in the Measurement domain and imports the two-branch quantum measurement geodesic. The upstream TwoBranchGeodesic formalizes rotation geometry from Local-Collapse §3 and Appendix A, with residual norm $||R|| = π/2 - θ_s$ (geodesic length) and rate action $A = -ln(sin θ_s)$. The sibling C_equals_2A supplies the core identity that this lightweight export re-exports.
proof idea
This is a definition module, no proofs. It re-exports the C = 2A relation and exponential match by direct import of the geodesic definitions from TwoBranchGeodesic.
why it matters in Recognition Science
The module bridges the two-branch geodesic rate action to the C = 2A identity, supporting the measurement results that follow from the sibling C_equals_2A. It supplies the lightweight export step required for exponential matching in the Recognition framework.
scope and limits
- Does not contain the full proof of C = 2A.
- Does not include numerical verification or simulations.
- Does not extend to multi-branch or higher-dimensional geometries.