Mathematical Physics

    

On the Foundation of Physics Admissibility

Authors: Carson Anderson

Admissibility is shown to be necessary for any well-defined comparison, defined by invariance under relabeling, refinement, composition, finite propagation, and closure. From these constraints, relational structure and compositional consistency are forced, uniquely determining the form of admissible scalar comparison. Every alternative introduces dependence on representation, decomposition, or descriptive scale and is therefore excluded.This establishes quadratic invariant structure as a necessary condition of physical description. Its appearance in both general relativity and quantum theory is not contingent, but structurally inevitable. Any theory admitting well-defined scalar comparison must realize this constraint.

Comments: 9 Pages.

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[v1] 2026-04-08 20:27:44

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