IndisputableMonolith.Measurement.C2ABridgeLight
The C2ABridgeLight module exports existence of C and A satisfying C equals 2A with a matching condition on exp(-C). Researchers working on two-branch measurement geodesics in the Recognition framework would cite this lightweight bridge. It imports the TwoBranchGeodesic module and supplies no independent proofs.
claimExistence of real numbers $C,A$ such that $C=2A$ and the exponential decay condition on $e^{-C}$ holds, matching the rate action from the two-branch geodesic.
background
The module sits in the Measurement domain. It imports TwoBranchGeodesic, which formalizes the two-branch rotation geometry from Local-Collapse §3 and Appendix A. Key results there are the residual norm $||R||=π/2-θ_s$ (geodesic length) and rate action $A=-ln(sin θ_s)$ (quoted from the upstream doc-comment).
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module exports the C=2A relation as a lightweight bridge for measurement constructions. It directly supports the rate action A from the imported TwoBranchGeodesic formalization and aligns with the Recognition framework's treatment of measurement geodesics. No direct parent theorems are listed in used_by.
scope and limits
- Does not derive C or A from the J-cost function.
- Does not specify numerical values or the exact exp(-C) match beyond the import.
- Does not connect to the phi-ladder or mass formulas.
- Does not address the forcing chain T0-T8 or RCL.