Ghidan Cone Theorem: The Geometric Equivalence of Tsirelson Quantum Correlation Bound and Minkowski Nested Causal Speed Ratio

Ghidan, Florin

Published Jan 1, 2025• 0 citations

Abstract

The Ghidan Cone Theorem establishes a fundamental equivalence between the maximal quantum correlation bound (Tsirelson’s bound) and the geometric structure of nested causal cones in Minkowski spacetime. By demonstrating that the ratio of the Minkowski causal boundary speed (c_{true}) to the physical measurement speed (v) exactly matches the Tsirelson bound (2\sqrt{2}), this work provides a novel geometric interpretation of quantum nonlocality consistent with relativistic causality.The theorem shows that quantum correlations in Bell-type inequalities are strictly constrained by the geometry of spacetime: physical reality, including all measurements and classical information, occupies a causal domain nested within the Minkowski cone. Superquantum correlations (PR-box limits) are excluded as they would violate this geometric boundary. This framework unifies quantum mechanics and relativity by linking algebraic quantum correlation constraints to the foundational structure of spacetime and vacuum impedance.The paper includes rigorous mathematical proofs, geometric analysis, and physical interpretations, and offers new insights into the measurement problem, quantum speed limits, entanglement, and the interface of quantum theory and relativity. The Ghidan Cone Theorem opens pathways for experimental testing and further theoretical developments in quantum gravity and informational spacetime physics.Keywords: quantum correlations, Tsirelson bound, Minkowski spacetime, causal cones, Bell inequalities, quantum nonlocality, relativity, vacuum impedance, entanglement, quantum foundations.

DOI: 10.6084/m9.figshare.30690377

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