A Unified Finitist Indefinite-Hermitian Framework for 3+1D Spacetime: Clifford Simplex Dynamics, Quadratic Character Identities, and a Conjectural Finitist-to-Continuum Program
This research paper establishes a limit-free, finite-dimensional algebraic framework for discrete spacetime geometry and quantum kinematics in (3+1) dimensions. Operating over the finite Galois field F_p (with prime characteristic p > 5 and p = 3 mod 4) and its quadratic extension F_p[delta] (isomorphic to the field of...