Nonlocal action at a distance also acts in the past

TL;DR

This paper explores how quantum entanglement and measurement-induced collapse can influence the state of a distant particle in its past, considering relativistic effects and frame dependence.

Contribution

It demonstrates that quantum state collapse can determine the past state of a distant entangled photon, incorporating relativity and Lorentz invariance.

Findings

Quantum measurement affects the past state of entangled particles.

Relativistic frame dependence influences quantum state determination.

Bell's theorem remains valid across inertial frames.

Abstract

The nonlocal action of a measurement performed on a quantum entangled particle can determine the quantum state of a distant entangled particle instantly. Since the relativistic simultaneity of events is frame dependent therefore, a physically valid question arises, does the nonlocal action at a distance determine the quantum state of the distant particle in its past, when quantum state collapse is observed from a different inertial frame of reference? From the relativity of simultaneity, Lorentz invariance of the quantum entangled state of photons under consideration and the validity of Bell's theorem in all inertial frames of reference, it is demonstrated that the measurement-induced collapse of a quantum entangled state also determines the quantum state of a distant photon in its past, provided one of the photons is located in the future. The past and future are defined with respect to the time of quantum state collapse in the rest frame of a quantum state measurement device.