S 3 as the Ontological Imperative of Closure

Abstract

The Poincaré Conjecture is traditionally framed within the topology of three-manifolds. However, this paper proposes a philosophical interpretation of it as an ontological statement: if a form of being is simply connected, compact, and boundaryless, it necessarily manifests as S3. We treat S3 not merely as a mathematical object but as a universal stabilizer of differentiated becoming. This view extends the conjecture into a structural axiom of being.

Author's Profile

Andrii Myshko
Independent Researcher

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2025-06-22

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