Entangled Simultaneity: Testing Lorentz and Light Speed Invariance with Quantum and Classical Entanglement

Abstract

In a rigid rod of length AB \(=L\), rotating uniformly, any two spatially separated points along the rod are connected in a way that shows analogies with the quantum entanglement of the spin of particles. This "classical entanglement" can be used for syncing two distant clocks, one at A and the other at B. Since it differs from Einstein synchronization, this procedure can be adopted for testing the one-way light speed and Lorentz invariance. Applications to optical Sagnac effects confirm that a consistent interpretation requires the adoption of absolute versus relative simultaneity.