Topological Synthesis of the Phase Invariant in an Inverted Torus Model

The model operates on a two-dimensional inverted torus undergoing continuous eversion (infinite turning inside out). Numbers are treated as dynamic phase angles in a complex wave space. While time (tau) scales and oscillates through frequencies 19 and 31, the core geometry contains a stationary center of inversion. This unmoving node is calculated as a contour integral over the eversion cycles, isolating the topological Berry phase of the vacuum mesh.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23890213
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Topological Synthesis of the Phase Invariant in an Inverted Torus Model

Saltykov
1 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Topological Synthesis of the Phase Invariant in an Inverted Torus Model

Saltykov
preprint en

Abstract

The model operates on a two-dimensional inverted torus undergoing continuous eversion (infinite turning inside out). Numbers are treated as dynamic phase angles in a complex wave space. While time (tau) scales and oscillates through frequencies 19 and 31, the core geometry contains a stationary center of inversion. This unmoving node is calculated as a contour integral over the eversion cycles, isolating the topological Berry phase of the vacuum mesh.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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Topological Synthesis of the Phase Invariant in an Inverted Torus Model — Saltykov · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS