Structural Deconstruction of the Schrödinger Equation and the Emergence of Light Speed from the Geometric Topology 14D Systolic Lattice

This paper presents a fundamental derivation of the time-dependent Schrödinger equation, the de Broglie wavelength, the Planck-Einstein relation, and the emergent speed of light directly from the geometric parameters of the Topologia Geométrica 14D (TG) systolic lattice. We demonstrate that the reduced Planck constant arises from three cosmic restrictors (inverse light speed m₂, electromagnetic tessellation factor Pₛ, and vacuum density projector P_d). The complex wavefunction is decomposed into real and imaginary components, revealing the Schrödinger equation as a coupled real circuit between 4D matter and 5D antimatter manifolds, with the imaginary unit i acting as a geometric rotation operator. The discrete granularity of the lattice yields natural quanta of space and time, from which the speed of light emerges as c = m₂⁻¹ ≈ 299 792 447 m/s (with the +11 m/s terrestrial correction due to local gravitational potential). All central results of quantum kinematics (E = hf, λ = h/p, inverse-square law, fine-structure constant, and entanglement) are shown to be mechanical consequences of the L₂SPack architecture. The same geometric framework predicts a vacuum phase transition at √s ≈ 13.7 TeV, directly linking this theoretical work to the existential risk analysis of the High-Luminosity LHC at 14 TeV. This document is a limited disclosure of a broader theory currently under patent protection, released in the public interest to enable independent scientific scrutiny.