Gauge-Coupling Parameters and Forced Uniqueness under Admissible Redescription (Constants)

Overview This paper examines whether gauge-coupling parameters can carry forced uniqueness under admissible redescription. It argues that raw numeric gauge-coupling values are chart-level quantities whose values vary under admissible reparameterization, and therefore cannot function as standing-bearing invariants. Negative Result Admissibility constraints do not collapse continuous gauge-coupling freedom to a unique numeric value. Standard routes to numeric uniqueness fail to generate a unique raw coupling value or import inadmissible structure, including: renormalization-group fixed points dimensional transmutation non-perturbative structure selection principles typicality or measure compactness model-theoretic existence genericity/forcing totalization Positive Result Uniqueness reappears at the correct role level. For genuinely co-scoped admissible regimes claiming authority over the same object-class: overlap is necessary divergence on overlap is inadmissible the admissible representative is forced to coincide up to fixed normalization Conclusion Gauge-coupling parameters remain skin-level coordinates. Invariant tensor content and shared-domain representatives carry admissible physical standing. Numeric coupling collapse is therefore replaced by overlap-level forced uniqueness under admissible redescription. This paper is downstream of: Minimal Conditions for Admissible Construction  The Structure of Admissibility Admissibility and Constraint-Induced Rigidity of Physical Quotient Structure On the Non-Quantizability of Gravity and Constraint-Induced Rigidity of Physical Structure