Paper B: Topological Charge Transport in the Holosphere Lattice A Defect Flux Law on Discrete Shells

This paper develops a practical method for identifying topological defect transport across quasi‑spherical shells in the Holosphere lattice. Building on the vacancy surface law from Paper A, we treat the shell‑wise anomaly signal Δk(t) as a signed inventory updated by inter‑shell flux and explicit sources or sinks. From the discrete continuity equation, we derive a unique, reproducible estimator for the radial defect flux and compare it directly to geometric boundary‑crossing counts measured in simulation. Agreement is evaluated through a single calibrated gain and reported using NRMSE metrics and continuity‑residual checks. Using a unified, turnkey pipeline, we generate two verification lanes. The first is an SU(2)‑motivated triadic transport sweep that maps coherent and incoherent regimes and produces a hop/noise phase diagram with bootstrap uncertainty. The second is an entropy‑consistency diagnostic showing rapid saturation under a k−4 dilution mapping and stability under bounded drift. We also include two explicit falsifier channels—first‑crossing budget exhaustion and volumetric nucleation—to detect when the transport interpretation fails. Overall, this paper provides a continuity‑consistent, falsifiable identification of defect flux on discrete shells and establishes the operational bridge between the geometric vacancy law of Paper A and the thermodynamic framing of Paper C, while remaining compatible with the single‑unit SU(2) ontology of Paper T33.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-25
DOI
https://doi.org/10.5281/zenodo.17053277
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Paper B: Topological Charge Transport in the Holosphere Lattice A Defect Flux Law on Discrete Shells

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

Paper B: Topological Charge Transport in the Holosphere Lattice A Defect Flux Law on Discrete Shells

article en

Abstract

This paper develops a practical method for identifying topological defect transport across quasi‑spherical shells in the Holosphere lattice. Building on the vacancy surface law from Paper A, we treat the shell‑wise anomaly signal Δk(t) as a signed inventory updated by inter‑shell flux and explicit sources or sinks. From the discrete continuity equation, we derive a unique, reproducible estimator for the radial defect flux and compare it directly to geometric boundary‑crossing counts measured in simulation. Agreement is evaluated through a single calibrated gain and reported using NRMSE metrics and continuity‑residual checks. Using a unified, turnkey pipeline, we generate two verification lanes. The first is an SU(2)‑motivated triadic transport sweep that maps coherent and incoherent regimes and produces a hop/noise phase diagram with bootstrap uncertainty. The second is an entropy‑consistency diagnostic showing rapid saturation under a k−4 dilution mapping and stability under bounded drift. We also include two explicit falsifier channels—first‑crossing budget exhaustion and volumetric nucleation—to detect when the transport interpretation fails. Overall, this paper provides a continuity‑consistent, falsifiable identification of defect flux on discrete shells and establishes the operational bridge between the geometric vacancy law of Paper A and the thermodynamic framing of Paper C, while remaining compatible with the single‑unit SU(2) ontology of Paper T33.

Zenodo (CERN European Organization for Nuclear Research)
Life in Land
Openalex Percentile: Top 99%
Geochemistry and Geologic Mapping
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