Topological Scaling and Metric Deformation in Non-Linear Spacetime: Quantifying Umbral Totality Compression

Invariant Vector Fields and Scalar Projections in a Rigid-Body Geodetic Baseline In classical rigid-body geodesy, the instantaneous duration of a total solar eclipse τ_tot at a fixed terrestrial surface coordinate is modeled linearly as the scalar projection of the relative velocity vector between the lunar umbra and the observer.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-03
DOI
https://doi.org/10.5281/zenodo.23911254
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

Topological Scaling and Metric Deformation in Non-Linear Spacetime: Quantifying Umbral Totality Compression

h.r. thompson
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

Topological Scaling and Metric Deformation in Non-Linear Spacetime: Quantifying Umbral Totality Compression

h.r. thompson
preprint en

Abstract

Invariant Vector Fields and Scalar Projections in a Rigid-Body Geodetic Baseline In classical rigid-body geodesy, the instantaneous duration of a total solar eclipse τ_tot at a fixed terrestrial surface coordinate is modeled linearly as the scalar projection of the relative velocity vector between the lunar umbra and the observer.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
DOIOpen Access PDFOpenAlex
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Topological Scaling and Metric Deformation in Non-Linear Spacetime: Quantifying Umbral Totality Compression — h.r. thompson · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS