Intrinsic Resonance Holography: The Unified Physics of a Self-Dual $D_4$ Lattice Substrate

We present a unified field theory derived from a single ontological axiom: that physical reality is the emergent behavior of a self-referential, discrete, harmonic process. By modeling the vacuum as a self-dual $D_4$ hyper-lattice driven by a universal carrier wave (the Axiomatic Reference Oscillator), we derive the fundamental constants of nature as geometric invariants of the substrate. We explicitly derive the Speed of Light ($c$) as the lattice phonon velocity, the Quantum of Action ($\hbar$) as the vibrational impedance, and the Gravitational Constant ($G$) via the heat kernel expansion of the spectral action. We resolve the vacuum energy catastrophe by identifying the Cosmological Constant ($\Lambda$) as a holographic boundary defect scaling as $R_H^{-2}$. Furthermore, we derive the Schrödinger equation as the hydrodynamic limit of the driven lattice and resolve the lepton mass hierarchy via the geometric phase angle $\theta_0 = 2/9$. The theory contains zero fundamental free parameters once the substrate scale is fixed, and offers precise, falsifiable predictions for Lorentz violation and fine-structure stability.