Ψ-Architecture: Self-Closed Realizability Geometry

This work introduces the Ψ-Architecture, a self-closed pre-physical framework specifying the conditions under which stable physical regimes become realizable. The framework operates without external reference: neither external time, nor external observer, nor external control. Architectural closure is achieved through two foundational constructs — the Architectural Fixed Point of Observation and Internal Time as an Architectural Operator. Four architectural invariants are defined: structural time τ, coincidence density ζ, circulation topology Ω, and admissibility boundary B. A projection operator Π(τ, ζ, Ω, B) maps admissible architectural regimes to physical laws, treating laws of physics as projections of realizability geometry rather than fundamental primitives. The framework introduces a fourth class of coupling — architectural coupling — defined as correlation through shared admissibility regimes without interaction, propagation, mediation, energy exchange, or information transfer. Synchronization without interaction is derived as a geometric consequence of shared architectural admissibility rather than postulated as a hypothesis. Explicit falsifiability conditions are provided. The framework is violated if stable regimes exist outside the defined invariant constraints, or if correlations arise without trajectory coincidence in admissibility space. The Ψ-Architecture operates at the pre-physical level, specifying realizability conditions prior to dynamical equations. It defines a space of admissible physics rather than a single physical theory, with implications for fundamental physics, biology, artificial systems, and consciousness studies.