Predicting 3I/ATLAS: Non-Gravitational Acceleration as Geometric Necessity

We present a falsifiable geometric prediction for the interstellar object 3I/ATLAS, derived from the projective–geometric framework of Projective Reality (RP³ topology, Volumetric Cross-Ratio invariance). Building on the principles of torsional stress generation in non-uniform density fields, we show that any compact body traversing the Sun’s radial density gradient must develop internal circulation producing a small, continuous, non-gravitational acceleration.

The paper predicts that 3I/ATLAS, approaching perihelion on 29 October 2025, will exhibit a smooth acceleration of order 10⁻⁵ m s⁻², uncorrelated with outgassing and without rotational spin-up—mirroring the “anomalous” behavior of 1I/‘Oumuamua. Confirmation would empirically verify that motion in the Solar System reflects geometric necessity rather than material jets, establishing torsional stress as a universal dynamical term within RP³ space.

This work completes the first experimental bridge between the theoretical invariants of Projective Reality and observable astrophysical phenomena, transforming geometry from a descriptive to a predictive science.