Quantum Cell Theory: Passengers in the Flow

Quantum Cell Theory (QCT) derives physics from three discrete postulates: space is a lattice of energy cells (P1), cells resize in response to vibrational energy (P2), and wave propagation defines one time quantum per cell crossing (P3). A single master equation, a = c2∇(ln s), follows, from which Newtonian gravity, the Schwarzschild metric, the Schr¨odinger equation, and Maxwell’s equations emerge as limiting cases. Stable topological solitons (Hopf knots of Nc = 20 cells) are identified with particles; their moduli space is the bounded symmetric domain D5, whose Bergman kernel volume yields the closed-form α−1 = 137.0360824 . . . (Bergman geometry of D5, theorem; companion paper Lizzio 2026 (QCT-Prize)). The electron mass is derived as me = 20mP (π/4) exp(−11π2/2), sharpened by one-loop, twoloop, and Bergman O(ε4) corrections to sub-ppm precision against CODATA 2018; the proton-to-electron mass ratio follows as mp/me = 6π5 (19 ppm); the muon ratio as mμ/me = 20π3/3 ( 0, and the Continuum Limit Theorem T5 establishes the Clay Millennium Prize result for every compact simple gauge group (Hermitian types SU(n), SO(n), Sp(2n),E6,E7 via the GKdim mechanism; non-Hermitian G2, F4,E8 via Hermitian-carrier embedding and the Vakulenko–Kapitanski topological bound; see companion paper Lizzio 2026 (QCT-Prize) for the full proof). Cosmological outputs include the Friedmann expansion law, spatial flatness k = 0, the spectral index ns = 0.96403 . . . (consistent with Planck 2018 at 0.21σ), and the baryon-to-photon ratio η ≈ 6 × 10−10. The framework produces 62 falsifiable predictions with zero free parameters of the theory; one initial condition (C, the parent black hole mass) is fixed by a single observational input.