R-layer Theory: Gravity from the Geometric Response of the Right-handed Neutrino Layer

Abstract

We propose R-layer Theory, a new gravitational framework in which gravity emerges from the geometric response of a physical outer layer composed of right-handed neutrino modes. In this picture, the inner universe is surrounded by a mechanically coherent R-layer characterized by tension, thickness, and bending rigidity. Baryonic matter deforms this layer, and the resulting displacement field is perceived as the gravitational potential. The linear response of the R-layer reproduces Newtonian gravity with a Yukawa-type correction, while its nonlinear response naturally yields the MOND limit without invoking particle dark matter. A key result of the theory is that the MOND acceleration scale arises from intrinsic R-layer parameters and scales cosmologically as a0(t) proportional to H(t) when the R-layer tension scales with the Hubble parameter. This relation provides a natural explanation for the long-standing coincidence between a0 and cH0. We further derive the dynamical R-layer equation in an expanding FRW background, showing that cosmological friction suppresses time-dependent deformations at late times. The framework yields several observational predictions, including a universal transition acceleration, strict 1/r behavior in galaxy outskirts, scale-dependent deviations from general relativity, redshift evolution of the Tully–Fisher relation, and the non-detection of right-handed neutrinos. These results present a unified geometric origin for gravity, MOND phenomenology, and the cosmological acceleration scale.

Keywords