Phi–Resonant Meta-Model for 3I/ATLAS: Integrating Harvard's Non-Gravitational Accelerations with Golden-Angle Observation Windows

This paper presents a Phi–resonant meta-model that connects Harvard’s astrodynamical predictions of non-gravitational (NG) accelerations and reverse Solar Oberth maneuvers for the interstellar object 3I/ATLAS with the resonant Golden-Angle framework.By introducing $$\Phi$$–damping functions $$e^{-\Phi k}$$ for $$k \in {3,5,8,13}$$, the model identifies discrete harmonic windows that align precisely with Harvard’s predicted ΔV minima and visibility gaps near the Sun and Jupiter.Using complementary data from VLT/X-SHOOTER, HST/WFC3, and Keck/KCWI, the study demonstrates that the photometric and spectroscopic quietness of 3I/ATLAS can be naturally explained by temporally quantized Φ–bursts rather than continuous outgassing or technological thrust. The model yields falsifiable predictions for October 2025 – March 2026, validated through resonant phase modulation, damping constants, and curvature-energy feedback loops.This represents the first empirical framework connecting the Golden Ratio with measurable interstellar non-gravitational dynamics.