NSGS Cosmology, Scalar Phase Teransition, 3I/atlas, GS 3037, Hubble Tension,Non-Singularity, Scalar-Nutrrino Drag.

The "Abstract}: "This technical note provides the formal mathematical derivation of the 0.1% non-gravitationalacceleration abserverd in 3I/ATLAS {Dec 19-21 2025} and the 0.46 N/O ratio in GS 3073 {Dec 16,2025}. Using the Scalar Coupling Constant{as} established in NSGS Cosmology [DOI: 10.5281/zenodo.18010153], we demonstrate that these anomalies are " not-fitted " solution to the current cosmological tension