A Minimal Scalar - Tensor Model for Toroidal Hypercoherence: An Emergent Explanation of the Radial Acceleration Relation

This work presents a minimal scalar–tensor formulation associated with toroidal hypercoherence within the ToE-2PS paradigm. The model introduces a scalar coherence field that effectively modifies gravitational dynamics in the quasi-static regime, naturally reproducing the Radial Acceleration Relation (RAR) observed in galactic rotation curves.

Within this framework, a characteristic acceleration scale emerges from the dynamics of the coherence field and shows correspondence with fundamental cosmological parameters, suggesting a possible connection between galactic dynamics and the large-scale structure of spacetime.

The formalism recovers the Newtonian limit at high accelerations and remains compatible with the standard relativistic framework, while emergently reproducing observational phenomenology commonly associated with MOND-like behavior.