The Kinematic Holographic Model: Derivation of Inertia and Gravity from Kinetic-Vacuum Coupling

Abstract: We propose that gravity and inertia emerge from the kinetic activation of a pre-existing vacuum scalar field Φ_v. A mass M with 4-acceleration a^μ couples to Φ_v, generating complementary twin modes on a 2D holographic boundary. We rigorously define the Elhamidi Sphere Constant α_s = c^4 / 4πG, prove exact dimensional consistency, and show the model recovers E=Mc^2, the equivalence principle, and 1st-order PPN parameters β=γ=1. The theory provides a microscopic origin for inertia and Hubble flow from the activation of previously unactivated virgin vacuum modes, without invoking dark energy as a fluid. Keywords: Elhamidi Gravity, Kinematic Holographic Model, Holographic Principle, Kinetic-Vacuum Coupling, Emergent Gravity, Inertia, Elhamidi Constant This is paper #10 in the LpRT Research Series 2026.