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July 11, 2026Open Access

Entanglement as Shared Closure Nonseparability, Measurement Correlation, and the Reclosure of  Distributed Relation

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Authors

PLPhilip LilienUniversity Foundation

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Implication

The paper discusses how entanglement manifests as shared closure in quantum systems, implying new understandings of measurement and separability.

Key Points

  • This research aims to interpret entanglement as a shared closure phenomenon rather than a separable action between quantum objects.
  • Extends the framework of entanglement based on prior papers regarding atomic continuum ontology and measurement.
  • Uses a worked example of a singlet state to illustrate the concept of anti-correlated measurement outcomes.
  • Applies mathematical interpretations to the Schrodinger equation and measurement outcomes in quantum mechanics.
  • Entangled states are confirmed as shared closure relations, evidenced by the equation ψ_AB ≠ ψ_A ⊗ ψ_B.
  • Demonstrates that measurement outcomes correlate due to reclosures of a shared relation, not through separable influences.
  • Bell-type correlations highlight the non-separability of entangled systems, countering notions of instantaneous signaling.

Cite This Study

Philip Lilien (2026) studied this question.

synapsesocial.com/papers/6a51df9fc18d7f28ca50097ehttps://doi.org/10.5281/zenodo.21281896
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