Surface Obstruction and Conformal Common-Ray Reduction of the Coupled Two-Projection Transport

This paper audits the coupled common‑ray transport and shows a sharp altitude separation: at the surface level the dyad‑covariant divergence system is obstructed by symmetric derivative terms, while on the homogeneous sector it degenerates conformally into four scalar transports with holonomy given by inverse root volume and the Nieh–Yan phase. The coupled reduction owns a frozen invariant and a resonance‑free memory law, completing the exclusion of the two‑edge shared‑holonomy signature.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-12
DOI
https://doi.org/10.5281/zenodo.20658860
Primary Topic
Geometric Analysis and Curvature Flows
Type
preprint
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preprint

Surface Obstruction and Conformal Common-Ray Reduction of the Coupled Two-Projection Transport

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Geometric Analysis and Curvature Flows
preprint

Surface Obstruction and Conformal Common-Ray Reduction of the Coupled Two-Projection Transport

Hiroyuki Shioiri
preprint en

Abstract

This paper audits the coupled common‑ray transport and shows a sharp altitude separation: at the surface level the dyad‑covariant divergence system is obstructed by symmetric derivative terms, while on the homogeneous sector it degenerates conformally into four scalar transports with holonomy given by inverse root volume and the Nieh–Yan phase. The coupled reduction owns a frozen invariant and a resonance‑free memory law, completing the exclusion of the two‑edge shared‑holonomy signature.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Geometric Analysis and Curvature Flows
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Surface Obstruction and Conformal Common-Ray Reduction of the Coupled Two-Projection Transport — Hiroyuki Shioiri · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS