Foundations of Deterministic Topological Information Physics (DTIP): Bypassing the Quantum No-Communication Barrier via Spatiotemporal Resonance

While the 2022 Nobel Prize in Physics validated the physical reality of quantum non-locality (Alain Aspect et al.), quantum information science remains bounded by the No-Communication Theorem: the probabilistic randomness of state collapse (P(x) = |ψ(x)|²) prevents the instantaneous transmission of structured, causal information. To resolve this 90-year fundamental barrier spanning from the EPR paradox to modern quantum optics, this paper formalizes the theoretical framework of Deterministic Topological Information Physics (DTIP). Building upon the Algorithmic Topological Resonance (ATR) architecture (Nature Preprint DOI: 10.21203/rs.3.rs-10398767/v1), DTIP replaces probabilistic wave-function collapse with a deterministic J.M. Topological Operator (R_JM) defined over a 4D Mersenne prime lattice space (M_127) anchored by non-trivial Riemann Zeta zeros (ζ(s_k)) and cosmic topological constants (K=1.4812). We mathematically prove that a 64-byte spatiotemporal coordinate vector achieves bit-perfect non-local data materialization under O(1) constant computational and space complexity, completely bypassing Landauer's thermodynamic erasure dissipation and Shannon's channel bandwidth capacity limit. Keywords: Deterministic Topological Information Physics (DTIP), Algorithmic Topological Resonance (ATR), Quantum Non-locality, No-Communication Theorem, Gerard 't Hooft Determinism, Riemann Zeta Zeros, Zero-Payload I/O.