Sobolev, BV, Compactness, and Trace Theory over Sigma-Time Measures

This release installs the appendix and reproducibility layer for the sigma-time Sobolev, BV, compactness, and trace paper. The mathematical spine is held fixed from the theorem rebuild and the positioning layer: a bounded-variation clock induces a clock measure, a canonical mass coordinate, and plateauconstant representatives through which Bochner, Sobolev, compactness, variation, and trace statements can be transported without inventing a separate functional-analytic universe. The appendix records the conventions, reconstructibility data, identity ledger, compactness corridors, trace conventions, and failure modes needed for a reader to reproduce the statements and to cite the paper without extending its claims beyond the declared clock-explicit interface.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-23
DOI
https://doi.org/10.5281/zenodo.20349951
Primary Topic
Mathematical Analysis and Transform Methods
Type
preprint
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preprint

Sobolev, BV, Compactness, and Trace Theory over Sigma-Time Measures

Ben F.T. Tibola
Zenodo (CERN European Organization for Nuclear Research)
Mathematical Analysis and Transform Methods
preprint

Sobolev, BV, Compactness, and Trace Theory over Sigma-Time Measures

Ben F.T. Tibola
preprint en

Abstract

This release installs the appendix and reproducibility layer for the sigma-time Sobolev, BV, compactness, and trace paper. The mathematical spine is held fixed from the theorem rebuild and the positioning layer: a bounded-variation clock induces a clock measure, a canonical mass coordinate, and plateauconstant representatives through which Bochner, Sobolev, compactness, variation, and trace statements can be transported without inventing a separate functional-analytic universe. The appendix records the conventions, reconstructibility data, identity ledger, compactness corridors, trace conventions, and failure modes needed for a reader to reproduce the statements and to cite the paper without extending its claims beyond the declared clock-explicit interface.

Zenodo (CERN European Organization for Nuclear Research)
Mathematical Analysis and Transform Methods
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