Paper I: Information-Limited Phenomenology of Disk Dynamics
Recognition Physics Institute, Austin, TX, USA
Summary
This paper frames gravity as the world's latency geometry and defines a falsifiable, global‑only finite‑refresh phenomenology for disk dynamics. A catalog‑fixed information‑weight \(w(r)=\lambda\,\xi\,n(r)\,(T_{\rm dyn}/\tau_\star)^{\alpha}\,\zeta(r)\) multiplies the baryonic response, with all ingredients frozen from photometric geometry and no per‑galaxy tuning. Paper I specifies the model and audit/freeze policy; Paper II presents quantitative tests on SPARC under identical masks/error models shared with baselines.
Abstract
We interpret gravity as the world's latency geometry and propose a falsifiable, global‑only finite‑refresh correction to the baryonic response in slow regimes. This work presents the conceptual foundations, information‑theoretic motivation, and broader physical implications of the information‑weight law \(w(r)=\lambda\,\xi\,n(r)\,(T_{\text{dyn}}/\tau_\star)^\alpha\,\zeta(r)\). Quantitative validation on galaxy rotation curves is presented in the coordinated companion manuscript (Paper II).
Series note. Paper I (this work) defines the fixed, global phenomenology and its scope; Paper II tests \(w(r)\) on SPARC under identical masks/error model shared with all baselines. Both are co‑submitted with shared artifacts and a single cover letter.
Key Points
- Global‑only predictor: \(w(r)\) from frozen geometry and \(T_{\rm dyn}\); no target leakage or per‑galaxy tuning.
- Audit/freeze policy: units‑quotient, K‑gate single‑inequality audit; identical masks/floors for all models.
- Behavior: \(w\!\to\!1\) in fast, compact regimes; boosts slow, low‑urgency outskirts consistent with empirical scalings.
- Falsifiability: ablations and negative controls must break the effect; Paper II reports quantitative validation.