Gravitation as Common-Mode Wall Curvature: Particle Tilt, Inertia, and Rotor Response in the Thin-Gap Vacuum

This paper develops a gravitational interpretation within the Rotor Framework by treating the physical vacuum as a thin, pressure-bearing gap between two limiting walls of a larger four-dimensional structure. Building on the two-wall vacuum model of R191 and the cosmological structure proposed in R190 [1, 2], gravitation is identified with common-mode curvature of the wall pair: a deformation in which the inner and outer walls bend together rather than separating, shearing, or producing a signed differential strain. Subatomic particles are interpreted as localized four-dimensional rotor structures whose stored energy, circulation, torsion, and phase closure load the surrounding wall-pair and produce minute common-mode curvature. Particle response to gravity is then described as orientation transport rather than conventional linear pulling. A particle follows gravitational curvature because its future-directed rotor axis, or time-axis, continuously reorients with the local wall-pair geometry. Inertia is interpreted as gyroscopic resistance to this reorientation. The paper also incorporates exploratory 32⁴ particle simulations, which indicate that the proton, electron, and neutron possess structured internal density and rarefaction axes rather than uniform density distributions. These axes support the need for a physical orientation model, while also showing that signed wall-facing orientation requires additional variables beyond density alone. The proposed model preserves the geodesic insight of general relativity while offering a possible microscopic mechanism based on two-wall vacuum curvature, rotor energy, particle buoyancy, and orientation response.