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:

1. Minimal Conditions for Admissible Construction

2.  The Structure of Admissibility

3. Admissibility and Constraint-Induced Rigidity of Physical Quotient Structure

4. On the Non-Quantizability of Gravity and Constraint-Induced Rigidity of Physical Structure