Homogeneous Compression Theory (TCH): Local Diminution, Emergent Gravity, and Emergent Gauge Structure

This version consolidates the Homogeneous Compression Theory (TCH) into a precision-compatible framework linking microstructure and macroscopic gravity. The theory proposes that ``diminution'' is an internal degree of freedom associated with physical content (matter and fields), and does not exist in the absence of energy–momentum. Time is interpreted as the projection of internal diminution flow, with the invariant speed 𝑐 acting as the structural conversion factor between internal and observed coordinates. Gravitation emerges from collective compression among locally defined nuclei sharing a common internal structure. The macroscopic metric is expressed as a conformal factor driven by a scalar compression field, supplemented by transverse–traceless shear modes required to reproduce the observed tensor polarizations of gravitational waves. Both scalar and tensor perturbations propagate at the invariant speed 𝑐, ensuring compatibility with gravitational-wave observations. Electromagnetic and Yang–Mills gauge structures arise from internal phase and multi-component degrees of freedom of the same shared nucleus architecture, establishing a unified structural origin for gravity and gauge interactions. The theory further proposes falsifiable predictions, including coherence-dependent inertial effects in superfluids and superconductors, possible weak scalar gravitational-wave components under screening, and laboratory-scale tests of compression coupling. This work advances TCH from a conceptual framework toward a precision-constrained, testable emergent theory of gravity and interactions.