Nonlocality as a feature of the physical world

R. L. Schafir

Arthur B. Komar

Roger Penrose

In 1964, John Stewart Bell famously demonstrated that the laws of standard quantum mechanics demand a physical world that cannot be described entirely according to local laws. The present article argues that this nonlocality must be gravitationally related, as it comes about only with quantum state reduction, this being claimed to be a gravitational effect. A new formalism for curved space–times, palatial twistor theory, is outlined, which appears now to be able to accommodate gravitation fully, providing a nonlocal description of the physical world. Nonlocality and Quantum State Reduction Although quantum entanglement is a normal consequence of the unitary (Schrödinger) evolution U of a multiparticle quantum system, this evolution is nevertheless local in the sense that it is described as the continuous (local) evolution in the relevant configuration space. What the EPR situations considered by John Stewart Bell [1] demonstrated was that when widely separated quantum measurements , of appropriate kinds, are performed on such entangled states (a current record for distance separation being 143 km, for entangled photon pairs [2]), the results of such measurements (which may be probabilistic or of a yes/no character) cannot be mimicked by any local realistic model. Thus, in trying to propose a mathematical model of what is going on realistically in the physical world, one would need to face up to the actual physical process involved in quantum state reduction R, which is an essential feature of quantum measurement. For many years, my own position on the state-reduction issue has been that R would have to involve a fundamental mathematical extension of current quantum theory, giving a description of something objectively taking place ‘ out there’ in the physical world (OR: objective reduction), rather than R being the effect of some kind of ‘interpretation’ of the standard unitary quantum formalism. Moreover, the extended theory should be able to describe the one physical world that we all experience, rather than some sort of coexisting superposition of vast numbers of alternatives. To be more specific about my own viewpoint, it has long been my position that such necessary deviation from unitarity U in this OR would result from a correct melding of the quantum formalism with that of general relativity .

Antoine Suárez

Andrei Yu. Khrennikov

This note is a part of my efforts for getting rid of nonlocality from quantum mechanics (QM). Quantum nonlocality is two faced Janus, one face is apparent quantum mechanical nonlocality (assigned with projection postulate), another face is nonlocality of Bell's model with the hidden variables. This paper is directed against the latter. The main casualty of Bell's model is that it contradicts to the Heinsenberg's uncertainty and Bohr's complementarity principles. The aim of this note is to point to the physical seed of the aforementioned principles. This is the {\it quantum postulate}: the existence of indivisible quantum of action given by the Planck constant. Bell's model by contradicting to the basic principles of QM implies rejection of this postulate. Thus, it contradicts not only to the QM-formalism, but also to the fundamental feature of the quantum world that was initially discovered by Planck.

Andrey Anatoljevich Grib, Waldyr A. Rodrigues