Current published reading edition · 2026-02-26

Semigroup Spectral Extraction from Euclidean Exponential Clustering

Amos Jay Maley · 8 pages · Yang–Mills analytic series

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For the stated OS-positive, translation-invariant bounded macroscopic net with exponential time clustering and a reconstructed semigroup, the manuscript extracts a gap above the vacuum. Time here is OS translation, rather than renormalization-group time. The main result is Theorem 5.5 in this exact edition; the companion citation to Theorem 5.1 does not pin the imported edition. No full sharp-field sector is asserted.

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Amos Jay Maley. Semigroup Spectral Extraction from Euclidean Exponential Clustering. Published 2026-02-26. DOI: 10.5281/zenodo.18787440.

SHA256 bbb5bb10c6278b5dba920fdd704529215acb7fa38561a257a4652d003a410921

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Bounded substantive reading of selected imports, definitions, central results and limits; not every proof page read. Complete searchable PDF text was screened for circulation and completion notices, with marker contexts reviewed. The manuscript claims have not been independently verified. Equations, theorem numbering and full references remain in the original PDF. This page is a reading aid, not a full-text conversion.

Source references

Theorem5.5; Corollary5.6

A preferred reading edition does not replace an exact edition imported by a downstream theorem. Where references do not pin imported bytes, that identity remains unresolved.

The ultraviolet companion cites Paper 3, Theorem 5.1; this exact semigroup edition labels its main extraction Theorem 5.5 (PDF page 6). Their imported-edition relationship remains unresolved.