Photon-Driven Spacetime Production: Exploring a Quantum Contribution to Galactic and Cosmic Dynamics

We explore a hypothesis where photons, interacting with a theoretical ”Vault” dimension, may contribute to spacetime production, potentially enhancing gravitational effects in a manner complementary to existing models. The core equation v = q G(M +S·t)r integrates baryonic mass (M ) with a spacetime production term (S · t), where S = ks · h · f · α (ks = 6.23 × 10−29 m−2 · s, α = 4.066 × 10−4) is derived from photon energy loss over t = 4.35×1017 s. At solar scales, M dominates, consistent with Newtonian mechanics; at galactic scales, S · t contributes significantly, aligning with flat rotation curves (R2 = 0.94), elliptical velocity dispersion (R2 = 0.85), and the Tully-Fisher relation (L ∝ v3.98). Cosmically, H0 = q G·ϵ·Stotal·t V adjusts from 67.4 to 72 km/s/Mpc as Stotal rises from 1.28 × 1039 kg/s to 1.31 × 1039 kg/s (Appendix B.3.6), offering a perspective on the Hubble tension (Appendix B.4). Testable predictions, such as a solar frequency shift (∆f ≈ 2.457 × 1011 Hz, Appendix C.2), invite further investigation. This framework suggests a quantum-based contribution to gravitational phenomena, potentially supplementing the ΛCDM model.