CONSCIOUSNESS IN EXTERNAL-DIMENSION MECHANICS (EDM): Consciousness as a Structural Mode of the EDM Field

Consciousness in External‑Dimension Mechanics (EDM): Consciousness as a Structural Mode of the EDM Field develops a complete, mathematically rigorous account of consciousness within the single‑field ontology of External‑Dimension Mechanics. EDM reconstructs spacetime, geometry, torsion, quantum structure, and temporal flow from the monotonic evolution of a single scalar field Φ defined on a static three‑dimensional manifold. This work demonstrates that the same field that induces physical reality also encodes experiential structure. The manuscript introduces conscious attractors—coherent, temporally stable configurations of Φ that satisfy EDM’s coherence, holonomy, and stability conditions. Identity emerges as a holonomy‑invariant attractor; memory corresponds to curvature along the attractor trajectory; awareness arises from sensitivity to gradients, curvature, torsion, and temporal rate; and subjective time is the internal interpretation of the emergent lapse. The theory distinguishes quantum decoherence from attractor‑level coherence, showing that conscious structure can persist beyond the decoherence boundary of the physical substrate. Across more than a dozen appendices, the work develops the full mathematical infrastructure of EDM consciousness: coherence functionals, SU(2) holonomy, experiential metrics, information geometry, thermodynamic structure, dynamical‑systems analysis, perturbation theory, cosmological embedding, boundary conditions, and the classification of non‑conscious Φ‑configurations. The result is a unified physical‑experiential ontology in which consciousness is a geometric and dynamical mode of the same field that generates spacetime. This document provides the first complete formalization of consciousness within EDM, offering a single‑field, non‑dualistic, mathematically grounded framework that unifies physical structure, experiential structure, and post‑decoherence persistence.