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Finite Distinguishability Closure (FDC): Derivation Record for a Distinguished Scalar and Three Mass Hierarchies

Year: 2026
Type: article
Abstract: This document records the mathematical construction underlying theFinite Distinguishability Closure (FDC) program. Starting from a finite set of structural axioms concerningdistinguishability, closure, and scalar readout, the constructionproduces • a distinguished scalar quantity• three hierarchical scale outputs whose numerical values coincide with the CODATA values of • the inverse fine-structure constant• the proton–electron mass ratio• the muon–electron mass ratio• the tau–electron mass ratio to high numerical accuracy. The present document serves as a derivation record establishingpriority of the mathematical construction. A full exposition andformal presentation of the theory will appear in subsequentpublications.
Language: English
Open Access status: green
OpenAlex ID: W7134904904
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