Emergence of Spacetime and Gravitation from Reverberative Electromagnetic Structuration: A Tensorial Framework for Mass, Curvature, and Time

We derive gravitational acceleration, spacetime curvature, and entropy structuration as emergent phenomena from recursive photonic phase-locking. In this framework, photons of characteristic wavelength ~3 nm undergo threshold-based recursive delay and form voxel-like structures that encode mass-energy through entropic compression. By combining photon energy, entropy density, and recursion timing, we reproduce gravitational acceleration without free parameters. The model further yields a tensorial structure from delay gradients that accounts for spacetime curvature as a derivative of recursive voxel alignment. We justify the 3 nm wavelength from first principles, deriving it as the minimum energy required to resolve atomic structure based on hydrogen binding energy and Wien’s law. This unification of mass, entropy, gravity, and curvature from light recursion suggests a new physical ontology grounded in electromagnetic information structuration.