Dark Matter Explained: 6D First Principles Derivation of the Hubble constant, the Local Resonant Manifold and Quantum Gravity

A deep understanding of gravity has eluded us in areas of physics ranging from the cosmos down to the quantum. In this work, we propose that gravity is a consequence of phase resonance along a timelike “phase” dimension (tf), orthogonal to the standard time dimension (t0). Building upon the 5D framework introduced in previous work (Forte 2025), we derive the Hubble constant (H0 ≈ 70.8 km s−1 Mpc−1) from first principles by applying the Zeldovich relation to the electron mass. We subsequently define the F-Radius (Rf) not as an arbitrary fitting parameter, but as the Kuramoto synchronization limit where the gravitational coupling strength drops below the vacuum phase noise. We further derive a modified Newtonian potential based on this radius that recovers flat rotation curves without dark matter particles. Finally, we demonstrate that “dark matter” is a manifestation of collective 6D phase coherence, explaining the Bullet Cluster anomaly as a separation of geometric resonance from baryonic matter.