IndisputableMonolith.Measurement.C2ABridgeLight
The module exports a lightweight existence statement for C and A satisfying C = 2A with exp(-C) matching in the two-branch geodesic setting. Researchers working on quantum measurement formalization in Recognition Science would cite it to bridge rate action quantities. The module consists of imports from Mathlib and TwoBranchGeodesic with no internal proofs.
claimExistence of $C, A \in \mathbb{R}$ such that $C = 2A$ and $\exp(-C)$ matches the rate derived from the two-branch geodesic.
background
The module sits in the Measurement domain. It imports Mathlib and IndisputableMonolith.Measurement.TwoBranchGeodesic. The upstream module formalizes the two-branch rotation geometry from Local-Collapse §3 and Appendix A, with key results: residual norm $||R|| = rac{\pi}{2} - heta_s$ (geodesic length) and rate action $A = -\ln(\sin heta_s)$.
proof idea
This is a definition module, no proofs. The structure consists of two imports that enable reexport of the C = 2A existence relation.
why it matters in Recognition Science
The module supports the sibling C_equals_2A. It fills the lightweight bridge for C and A quantities in the two-branch quantum measurement geodesic, per the module doc-comment.
scope and limits
- Does not prove the underlying two-branch geodesic properties.
- Does not introduce new constants or numerical evaluations.
- Does not connect to the forcing chain T0-T8 or phi-ladder.
- Does not provide full documentation or usage sites.