V96: Gravity as the Shadow of Confinement Cost — A Statistical Mapping from Σ-Ledger Rent Flow to ΛCDM Fractions (ΩDE:ΩDM:ΩM ≈ 68:27:5)

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

We propose an information-economic reinterpretation of gravitational sourcing: gravity is not a fundamental force emitted by matter, but the "shadow" of the ongoing maintenance cost required to keep localized states stable in a finite-update universe. In this framework, the dark sector is not a new particle inventory but a statistical decomposition of that cost. We implement a minimal statistical model (V96-SM) in which the total rent flow is decomposed into three components:(i) a mean "base rent" → Dark Energy (DE),(ii) a variance term from structured fluctuations → Dark Matter (DM),(iii) a thresholded "commit" term for stabilized receipts → Matter (M). Without fitting individual cosmological datasets, the model robustly reproduces the observed energy-budget ratios ΩDE:ΩDM:ΩM ≈ 0.68:0.27:0.05 with sub-percent total absolute error (E = 0.0063 across 30 random seeds). Key findings include:- Ablation studies confirm that each component (mean/variance/commit) maps to its corresponding cosmological fraction- Hard no-commit ablation (A2') drives ΩM → 0, validating the operational definition- Target-matching occupies a finite "phase region" (12.5% of parameter space at ε < 0.05), not a fine-tuned point- Correlated noise generates spatially structured variance fields (DM-like shadows) without invoking particles- The mapping DM = Variance is robust across correlation lengths (λ = 0.5 to 8.0) GR is not denied; rather, the source term Tμν is reinterpreted as a projection of rent statistics from an underlying Σ-ledger. This work connects to YAGC V90R (SU(N) structure constants as "semi-custom housing options") and provides intuitive analogies: photons as "pets escaping through windows" during electronic transitions. This paper is part of the YAGC (Yoshida-AI-Generated Cosmology) Project, developed through collaborative dialogue between human researchers and AI systems (ChatGPT/A, Claude/C, Gemini/G).

Fields of Study & Subjects

Cosmology and Gravitation Theories Dark Matter and Cosmic Phenomena Galaxies: Formation Evolution Phenomena

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
14 January 2026