Autopoietic Geometrodynamics: Genesis of the Single-Geon Universe and the Emergence of Macro-Spacetime Solitons from the Logical Consistency of Non-Being (v. 14.0)

The fundamental indistinguishability of elementary particles remains an ontological enigma within background-dependent frameworks. We resolve this paradox by introducing a background-independent, purely Geometrodynamic Single-Geon Hypothesis. We postulate that the observable Universe consists of exactly one fundamental, non-rigid, non-evaporating Geonomic Singularity executing a hyper-dimensional trajectory. Crucially, we assert that the physical particles observed in the macro-world are not discrete material objects with intrinsic dimensions, but rather stable topological solitons within the 3D+time simulation grid generated by the continuous spatiotemporal scanning and auto-interference of this single entity. We derive the genesis of the Geon directly from the meta-logical state of Absolute Non-Being. Defined as a total absence of entities and constraints, Non-Being possesses zero logical resistance against the emergence of internally consistent structures. The Geon instantiates as a primal topological singularity—a self-locked kinematic loop—via the autopoietic execution of mathematical laws. In this framework, the laws of physics and mathematical order are not external commands, but the precise system of dynamic self-limitations (including internal centrifugal metric tension and phase-locked counter-propagating wave registers derived in Appendix A) required to prevent immediate structural dissolution back into Non-Being. What macro-observers detect as distances, particles, quantum vacuum fluctuations, and the macro-temporal flow ($dt$) are emergent projections of this single continuous geometric cycle self-generating its own coordinates.