Wepropose Lattice-Continuous Monism (LCM), a theoretical framework positing that the vacuumbehaves as a hyper-rigid, truncated octahedron lattice at the Planck scale. We demonstrate thatGeneral Relativity (GR) and Quantum Mechanics (QM) are not fundamental axioms but emergentlimits of this discrete geometry. Mathematically, we recover the Einstein Field Equations fromthe lattice’s elastic stress-strain relationship and derive the Schr¨odinger equation from the discretelattice Hamiltonian. Crucially, we show that the capacity of atomic orbitals (2, 6, 10, 14) is notarbitrary but dictated by the geometric symmetry of the lattice unit cell. Furthermore, we proposea ”Bessel Universe” model where time is defined by lattice creation (t = R/c) and expansion isconstant. This interpretation, supported by ab initio simulations, reproduces fundamental constants(α−1 ≈ 137.036, mp/me ≈ 1836.12) and offers a unified geometric resolution to the Hubble tension,the Lithium problem, and dark energy, while maintaining consistency with standard physics in locallimits via Vainshtein screening.