INMANENCIA ABSOLUTA OPERACIONAL
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Fundamental physics traditionally assumes space as a pre-existing container. This paper inverts this paradigm by demonstrating that the three-dimensionality of physical space necessarily emerges from the relational structure of elementary information-area units, without presupposing an external geometry. Grounded in the Principle of Operative Immanence—which establishes the operative impossibility of accessing an exterior to the system—this work introduces the Axiom of Necessary Redundancy and the Axiom of Informational Minimality. Using graph theory, vertex connectivity, and combinatorial topology, it is formally proven that one-dimensional and two-dimensional networks are incapable of sustaining a stable interior-boundary structure due to structural fragility (cut vertices and Euler-bounded connectivity). Conversely, it is shown that D=3 is the first and only minimal structure capable of guaranteeing the topological redundancy necessary for arbitrarily large groupings. Finally, the conscious observer is formalized as a topologically closed subgraph, deriving theorems on phenomenological time, informational isolation in nested realities, and the impossibility of operative transcendence. This framework unifies geometric emergence with phenomenology, proposing that existence is a locally isolated informational execution.
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- Publication: 10.5281/zenodo.21913352 (DOI)