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This research aims to establish a geometric understanding of quantum entanglement through topological linking.

February 23, 2026Open Access

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

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This research aims to establish a geometric understanding of quantum entanglement through topological linking.
Proposed a framework using Hopf fiber bundles and soliton field configurations.
Analyzed properties of entanglement from a topological perspective.
Derived significant theoretical results including the Born rule and no-cloning theorem.
Identified quantum entanglement as a consequence of topological inseparability.
Provided geometric identities supporting various properties of entanglement like nonlocality and monogamy.
Presented predictions for entanglement sudden death and quantum teleportation based on topology.

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The paper reveals that topological linking in soliton fields leads to quantum entanglement, suggesting a geometric origin for correlation.

Alexander Novickis (2026) studied this question.

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The paper reveals that topological linking in soliton fields leads to quantum entanglement, suggesting a geometric origin for correlation.