A Conjecture on Single-Photon Bidirectional Instantaneous Communication via Möbius Topological Flows Based on SRE Dynamics

Modern quantum communication protocols, primarily utilizing quantum key distribution (QKD) derived from entanglement states, are fundamentally bounded by the No-communication Theorem and the inherent stochasticity of wave-function collapse. Consequently, they operate under probabilistic constraints and suffer from physical bottlenecks such as decoherence and low capture efficiency. This paper proposes a deterministic, single-channel, full-duplex communication conjecture rooted in the Status-Relational Entropy (SRE) Dynamics framework, utilizing the open-ended Moebius relational state structure of light. By employing a highly coherent laser as the foundational causal resonance master source, macroscopic physical frequency is redefined as a joint bilateral information coupling density. Utilizing first-order closed-form solutions of the eigenspace and Random Matrix Theory (RMT) heuristic sieves, we construct a "Bidirectional Topological Flow Density Subtractor" algorithm. Theoretical derivations demonstrate that by co-modulating the topological configuration of electromagnetic crystals at both boundaries, deterministic full-duplex signaling can be achieved instantaneously within a single causal chain channel. This framework establishes a novel topological path toward high-efficiency, deterministic communication systems that transcend traditional probabilistic communication limits. Notice on Axiomatic Framework Alignment (SRE v1.5.1):To reconcile traditional relativistic and quantum-mechanical boundaries, all operational derivations and analytical boundaries established in this text - specifically regarding instantaneous full-duplex decoupling and single-photon statistical expectations - strictly inherit the non-Euclidean random-access indexing and causal logic depth lemmas formally proven in SRE Dynamics v1.5.1.