Observer Geometry Protocol: A Phase-Based Model for Topological Quantum Security

This whitepaper introduces the Observer Geometry Protocol (OGP), a theoretical model for phase-based cryptographic encoding using recursive quantum observation. Inspired by layered collapse functions of the form: O₄(O₃(O₂(O₁(ψ)))) the model encodes security keys not as binary bitstreams, but as emergent geometrical structures that arise from specific observer-interaction configurations. Applications include quantum authentication, observer-based key generation, and topology-protected access protocols. The goal is to shift quantum cryptography away from bit-level abstraction and into phase-dependent structure.本白皮书介绍了观察者几何协议（Observer Geometry Protocol，OGP）——一种基于递归量子观测的相位型密码编码理论模型。 该协议的设计灵感来源于形如O₄(O₃(O₂(O₁(ψ))))的分层坍缩函数。 该模型并未将安全密钥编码为二进制比特流，而是将其编码为特定观察者-交互配置所催生的涌现几何结构。 其应用场景涵盖量子认证、基于观察者的密钥生成以及拓扑保护访问协议。 本研究旨在推动量子密码学摆脱比特级抽象，迈入相位依赖结构的研究范畴。