The Canonical Dodecahedron of Natural Philosophy & Ontology: Foundational Theorems, AIDH Semigroups, and the Living Reality Architecture (Public Priority Register)

Official monographic priority deposit establishing the foundational Natural Philosophy and ontological architecture of Project Omega, authored by Luan Borges Fernandes. Compiles the twelve canonical theorems governing the living reality architecture, non-Markovian memory preservation in the AIDH semigroup, the attractive future gradient flow, and structural manifestation dynamics across physical, ontological, and intentional realms. Establishes the formal ontological foundation and concentric bridge connecting with the Project Omega international peer-reviewed papers across observational astrophysics, covariant gravity, and unified quantum field theory. Notice of Editorial Embargo: In strict compliance with international peer-review novelty guidelines, the operational tensorial derivations of Theorems 1 (Atiyah-Singer Dirac index), 4 (ADM 3+1 Poisson constraint), 6 (Tidal tensor deviation), and 8 (Casimir moduli potential) are temporarily reserved under formal editorial embargo, with full technical disclosure scheduled alongside the formal release of Paper 2 and Paper 3. All underlying analytical formulations remain cryptographically sealed under SHA-256 custody.