Paper 62: Emergent Gravity from Angular Strain in the Holosphere Lattice

Paper 62: Emergent Gravity from Angular Strain in the Holosphere Lattice This paper presents the complete derivation of gravitational phenomena as emergent consequences of angular strain gradients in the Holosphere lattice. Unlike general relativity, which models gravity as curvature of a continuous spacetime metric, the Holosphere framework reinterprets curvature as a discrete angular phase deformation resulting from coherence strain in a lattice of spinning Holospheres. By defining a rotational strain tensor over the angular phase space and linking it to vacancy defect leakage rates, we derive field equations that reproduce the effects of gravity without invoking mass–energy as a source term in a continuous manifold. Geodesic motion emerges as a coherence-following trajectory through the strain field, and all classical tests of gravity—including light bending, gravitational redshift, time dilation, and the perihelion shift—are recovered within this model. The theory also predicts defect wavefronts analogous to gravitational waves, and offers a coherent boundary condition for black hole analogs without requiring singularities. This formulation serves as the gravitational foundation for the full Holosphere cosmological model and provides a physically grounded alternative to continuous spacetime geometry.