Entanglement as Topology: Hopf Linking as the Geometric Origin of Quantum Correlation

Title: Entanglement as Topology: Hopf Linking of Soliton Preimage Curves Author: Alexander Novickis (alex.novickis@gmail.com) We propose that quantum entanglement has a geometric origin: the topological linking of soliton field configurations within a shared Hopf fiber bundle. Twenty original contributions are enumerated with honest assessment of limitations.

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• 1 In the Hopf soliton framework of Papers I–III, particles are topological solitons governed by the Hopf fibration S¹ → S³ → S², and each soliton defines a family of preimage curves in S³.
• 2 When two solitons' preimage curves are linked, the resulting topological inseparability manifests as quantum entanglement.
• 3 The central insight is that there is no "spooky action at a distance": along the shared Hopf fiber, the distance between entangled particles is exactly zero, and the apparent spatial separation is a projection artifact from S³ to ℝ³.

This work deepens our understanding of the fundamental laws governing the universe, from subatomic particles to cosmic structures.

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