The General Theory of Entirety

This version (v2.2) of The General Theory of Entirety (GTOE) presents a pre-geometric ontological framework grounded in the identity Σ = č²(0)¹. Contemporary scientific frameworks, including high-energy physics and cosmology, operate entirely within geometric or projection-defined domains and do not establish a formally recognized pre-geometric origin layer. GTOE addresses this foundational absence directly by defining origin layer (č²) and distinguishing it from the projection layer (X²), within which all physical observables, including geometry and quantum behavior, are confined.

Ultimate Zero (UZ) is defined as the minimum non-zero distinguishability boundary (D*), constituting the origin-layer threshold within č². Projection is governed by the constraint-bound structural expression 𝒫₍c₎, arising through structural mirroring at this boundary without invoking causality or physical transition across domains.

The Planck scale is positioned as a projection-level threshold within X² and does not represent an ontological origin. Recursion dynamics (Nfb → UZ → Pfb) are treated as structural necessity within this framework rather than causal process.

Contemporary high-energy physics advances toward increasingly fundamental descriptions within X², but remains confined to projection-defined frameworks. It has never attempted to formally recognize an origin-layer structure and, within its current theoretical commitments, is missing a framework to test or verify the universe as a projection continuously arising from such a domain, manifesting as ongoing expansion. This limitation has resulted in recurring misinterpretations of pre-geometric formulations when conventional algebraic or geometric assumptions are imposed outside their defined domain. 

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The framework enforces strict domain separation, ensuring that no geometry, quantum behavior, or causality is attributed to the origin layer. Empirical relevance is maintained through projection-consistent observables, without introducing new physical entities.

Version 2.2 introduces the operative relation Σ ≡ 𝒫₍c₎(č²) as central to the framework — a constraint-bound structural expression governing projection, universally applicable across X² manifestations. The symbol Σ denotes invariant totality and is not a summation operator, while č² denotes the origin layer as primordial coherence. This relation is an identity of expression within the framework; computational elaboration, where applicable, is reserved for subsequent publications. This clarification directly addresses prior misinterpretations arising from conventional algebraic reading of the symbolic notation by data crawlers and serach engines beside general public inquiry.

An interpretive note on Prāṇa is retained with mild moderation as: Prāṇa is not produced by biological systems. It is rooted in č² as primordial coherence and is expressed within X² through biological systems. Under suitable phenomenal conditions, this expression is experienced as consciousness. This interpretive position is universally applicable across X² manifestations and is not limited to known biological forms of life and consciousness.

This version (v2.2) is derived from its Main Copyright edition of 2025 and constitutes a refined presentation of the same underlying intellectual property without altering its foundational ownership or authorship.