10-Structural Two-Sector Decomposition Without Physical Doubling

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Authors: Jonathan HAMMANN
Cited by: 0

Abstract

Recent structural analyses have shown that finite, invariant, and reproducible residues extracted from divergent spectral sums necessarily reduce, up to equivalence, to a two-sector structure based on conjugated spectral contributions. While this result is mathematically robust, it naturally raises questions regarding its physical interpretation and implications.In this work, we examine the interpretative status of the two-sector structure and show that it is intrinsically neutral. We clarify that a spectral sector is not a universe, a geometric sheet, a hidden field, or an additional degree of freedom, but a correlated asymptotic contribution within a residue extraction scheme. Conjugation acts on vacuum contributions rather than on physical states, and does not presuppose any symmetry, energy sign, or doubling of the Hilbert space.We demonstrate explicitly that the two-sector structure leaves local physics unchanged. Local quantum field theory remains intact, observables are unaffected, and the equations of motion governing physical systems are unmodified. In this precise sense, the two-sector structure is globally constraining but locally inert.Finally, we discuss the relation between structural necessity and model realization. While the two-sector normal form admits multiple possible realizations—including bimetric, PT-symmetric, or dual-sheet frameworks—none of these is imposed by the structural analysis. The results establish a clear separation between asymptotic constraints and physical interpretation, providing a solid conceptual foundation for further exploration of explicit realizations without committing to anyspecific ontology.

Fields of Study & Subjects

Relativity and Gravitational Theory Black Holes and Theoretical Physics Spectral Theory in Mathematical Physics

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
30 January 2026
Document type
Preprint