📝 SummarXiv

Abstract

The idea behind entanglement is counterintuitive to any classical viewpoint of physical realism. An entangled state is a nonlocal superposition of realities that belong to a physical system. The common test of such a state has been done through Bell measurements. In this work, we attempt to look at this notion from a different perspective. We study the evolution of the orbital angular momentum (OAM) entanglement in inertia reference frames under a Lorentz boost. We consider two specific motions for the observers of the entanglement. First, we consider observers with zero relative motion (Zero-RM). Second, we choose to have a non-zero relative motion (Non-Zero RM) for them. In the second case, we distinguish between observer's perspective of the amplitude probability from the perspective of rest (Non-Zero RM1) and moving (Non-Zero RM2) observers. As a result, the transition probability amplitudes are altered. We observe that entanglement undergoes significant changes and is not preserved maximally from the viewpoint of the stationary observers at the rest frame and asymptotically approaches a minimum close to the light cone (LC). However, from the viewpoint of moving observer in the Non-Zero RM2, entanglement will not survive, and the final state is separable. This is an extremely important observation since the concept of entanglement is supposed to be non-local, and therefore free from any spacetime transformation. Our results demonstrated through the entanglement metrics such as entanglement entropy and purity show that an entangled state is not non-local and hence the so-called collapse of the wavefunction in quantum mechanics does not occur spontaneously in spacetime. Ironically, even entanglement is influenced by motion. Finally, based on this study, one can predict that photons do not carry OAM fundamentally and this property is only emergent at the light-matter interaction limit.