V69-Full: Continuous Integration from Galaxy Scale to BH Vicinity via ν

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Authors: Satoshi Yoshida, A. ChatGPT, Gさんからの提案 Gemini, C Claude
Cited by: 0

Abstract

This paper connects existing pieces into a single observable phase map. The update rate ν := dτeff/dt serves as a unified variable describing: (1) timing noise scaling as Var(Δt) ∝ 1/ν⁴ (V69A, temporal sector); (2) galaxy rotation curves and lensing via ∂r ln ν gradients (V69B, spatial sector); and (3) non-Gaussian statistics near black holes from time×space coupling (V69C, extreme sector). The unified ν-map shows these three phenomena as projections of a single phase diagram, with local null-test zones (solar system, wide binaries) where ∂r ln ν ≈ 0 and no anomalies are predicted. This structure-adaptive framework naturally explains why "dark matter effects" appear at galactic scales but not in stellar-scale systems—a distinction that MOND's universal threshold a₀ cannot make.

Fields of Study & Subjects

Cosmology and Gravitation Theories Dark Matter and Cosmic Phenomena Astronomy and Astrophysical Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026
Document type
Preprint