Koku Universe v3.1: Resolving the Circularity — c as a Geometric Invariant of the Riemann Koku-Face

This paper resolves the circularity problem identified in Koku Universe v3.0 (DOI: 10.5281/zenodo.20534188). In v3.0, c = 2*pi*r/tau was defined, which was correctly identified as potentially circular. This paper demonstrates that c is not defined but derived as the conformal invariant of the Riemann Koku-face topology. The identification of center C with circumference C uniquely determines one invariant traversal rate, which is c. This removes c from empirical constants and places it in topological necessities. As a consequence, E = mc^2 becomes a geometric theorem. Three falsifiable predictions distinguish Koku Universe v3.1 from standard general relativity.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-19
DOI
https://doi.org/10.5281/zenodo.20534248
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Koku Universe v3.1: Resolving the Circularity — c as a Geometric Invariant of the Riemann Koku-Face

Yoshimitsu Katayama
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Koku Universe v3.1: Resolving the Circularity — c as a Geometric Invariant of the Riemann Koku-Face

Yoshimitsu Katayama
preprint en

Abstract

This paper resolves the circularity problem identified in Koku Universe v3.0 (DOI: 10.5281/zenodo.20534188). In v3.0, c = 2*pi*r/tau was defined, which was correctly identified as potentially circular. This paper demonstrates that c is not defined but derived as the conformal invariant of the Riemann Koku-face topology. The identification of center C with circumference C uniquely determines one invariant traversal rate, which is c. This removes c from empirical constants and places it in topological necessities. As a consequence, E = mc^2 becomes a geometric theorem. Three falsifiable predictions distinguish Koku Universe v3.1 from standard general relativity.

Zenodo (CERN European Organization for Nuclear Research)
University of Fukui (JP)
Reduced inequalities
Cosmology and Gravitation Theories
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