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The equal-norm case: norm-separation is not a hypothesis but a characterization, and the gauge-equivariant repair

Year: 2026

Type: preprint

Abstract: When distinct primes of S share the same norm, the naive reconstruction arguments of the series degenerate. This paper shows that norm-separation is exactly the condition under which the dual gauge action separates the prime coordinates, characterizes the equal-norm degeneracy, and provides the gauge-equivariant repair: the full gauge action of Definition 4.1, which restores the separation equivariantly and is the hypothesis used by the reconstruction theorems of the later papers.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22368933

Author: Chen, Ruqing

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7208835898

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