A Deterministic Baryonic-Matter Prediction for Interstellar Trajectory Deviations: Unified Local–Cosmological Modeling Applied to 3I/ATLAS (C/2025 N1)

<b>This paper presents a deterministic Baryonic-Matter (BM) cosmology model applied to the outbound trajectory of the interstellar object 3I/ATLAS (C/2025 N1). The model unifies Solar-system compression physics, mid-field curvature transitions, and cosmological σ_bg(t) relaxation into a single framework.</b>Unlike standard gravitational or outgassing models, the BM framework predicts a <b>three-phase, falsifiable deviation signature</b>:<b>Perihelion microdeviation</b> driven by the r⁻³ᐟ² Solar mid-field compression gradient.<b>A 2.6–3.1-day harmonic drop-off</b>, arising from curvature-knee dynamics in the σ_static(r) field.<b>A long-term outward drift</b> generated by cosmological σ_bg(t) decompression, producing measurable RA/Dec offsets on monthly timescales.The paper includes:The full BM trajectory equationQuantitative predictions for ΔRA, ΔDec, and a_BM,cosmicA unified local–cosmological interpretation of interstellar motionA clear observational test that can confirm or falsify the BM modelThis updated version integrates the latest refinements in Baryonic-Matter Physics and presents a concise, testable framework for evaluating non-Newtonian deviations in interstellar trajectories during the 2025–2026 observing window.