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This research investigates the experimental observation of fixed lines in quantum entanglement within a 5D phase space framework.

May 22, 2026Open Access

Paper XXXIX of the Brane-Bulk Series Fixed Lines, Quantum Entanglement, and the Hidden 5D Basis of Nonlocality B. D. Jagadeesan, MD

Key Points

This research investigates the experimental observation of fixed lines in quantum entanglement within a 5D phase space framework.
Utilized the CERN Super Proton Synchrotron for experimental observation of fixed lines.
Analyzed the signature of entanglement through Lissajous figures in mixed phase planes.
Explored topological properties related to the Big Bang nucleation event.
Demonstrated that two particles share a fixed line in 5D phase space, confirming the link to quantum entanglement.
Verified Bell's theorem, showing that the 5D hidden variable exhibits genuine nonlocality on the brane.
Identified decoherence as drift from the focal manifold in relation to the studied phenomena.

Abstract

The rst experimental observation of classical xed lines in the CERN Su- per Proton Synchrotron (Bartosik, Franchetti & Schmidt, Nature Physics June 2024) conrms the brane-bulk focal manifold geometry at laboratory scale. Fixed lines are 1D closed curves in 4D phase space onto which resonant beams lock under Qx + 2Qy = 79. Their diagnostic signatureinvisible in individual phase planes, visible in mixed planes as 2:1 Lissajous guresis exactly the signature of quantum entanglement. Entangle- ment is derived as the topological memory of the Big Bang nucleation event. Two parti- cles from the same causal region share a xed line in 5D phase space. Non-associativity of O is the algebraic basis of quantum non-factorizability. Bell's theorem is satised: the 5D hidden variable is genuinely nonlocal on the brane. Decoherence is drift o the focal manifold. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.

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