R-layer Mode Theory (RLMT) XLVIII: Spectral Evolution Equation for Layered Expansion (Complete Edition with Appendices A–K)

This volume develops the full dynamical, nonlinear, and particle‑physics‑unified formulation of the layered expansion.We derive the time‑dependent spectral evolution equation for the Hubble eigenmodes, analyze nonlinear Rayleigh corrections, introduce higher‑order Hubble eigenvalues, and construct a predictive framework for future cosmological surveys.The theory naturally unifies with the AUP/MUP/CUP particle‑physics hierarchy and provides a complete operator‑theoretic foundation for layered expansion cosmology.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-27
DOI
https://doi.org/10.5281/zenodo.20949132
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

R-layer Mode Theory (RLMT) XLVIII: Spectral Evolution Equation for Layered Expansion (Complete Edition with Appendices A–K)

Tsuyoshi Tohi
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

R-layer Mode Theory (RLMT) XLVIII: Spectral Evolution Equation for Layered Expansion (Complete Edition with Appendices A–K)

Tsuyoshi Tohi
preprint en

Abstract

This volume develops the full dynamical, nonlinear, and particle‑physics‑unified formulation of the layered expansion.We derive the time‑dependent spectral evolution equation for the Hubble eigenmodes, analyze nonlinear Rayleigh corrections, introduce higher‑order Hubble eigenvalues, and construct a predictive framework for future cosmological surveys.The theory naturally unifies with the AUP/MUP/CUP particle‑physics hierarchy and provides a complete operator‑theoretic foundation for layered expansion cosmology.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
DOIOpen Access PDFOpenAlex
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R-layer Mode Theory (RLMT) XLVIII: Spectral Evolution Equation for Layered Expansion (Complete Edition with Appendices A–K) — Tsuyoshi Tohi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS