In this note we show that in the modified quantum mechanics EPR correlations can be explained locally. We show also that the claim on the quantum nonlocality is in the modified quantum mechanics false.
The long-standing puzzle of the nonlocal Einstein-Podolsky-Rosen correlations is resolved. The correct quantum mechanical correlations arise for the case of entangled particles when strict locality is assumed for the probability amplitudes instead of locality for probabilities. Locality of amplitudes implies that measurement on one particle does not collapse the companion particle to a definite state. Sixty five years ago, the most significant paper questioning a fundamental aspect of quantum phenomena was written by Einstein, Podolsky and Rosen (EPR) [1]. They addressed the question whether the wave-function represented a complete description of reality in quantum mechanics, and argued that it didn’t. Bohr’s reply to this paper [2] was not sufficient to resolve the fundamental issues raised by EPR. Decades later, Bohm rephrased the EPR problem [3] in terms of particles correlated in their spin and this helped enormously in analyzing the problem with clarity. John Bell analyzed the EPR problem in the early sixties and established the Bell’s inequalities obeyed by
One of the key mysteries of quantum mechanics is the apparent faster-than-light communication between entangled particles. This was one of the qualms highlighted by Einstein, Podolsky, and Rosen in their famous EPR paper. Here, the locality of quantum systems and quantum mechanics is analyzed with reference to the phenomena of quantum teleportation. It is found that while information appears as though it is propagating nonlocally, in reality it can be explained using a local theory. The ideas of a nonlocal correlation and nonlocal information must be separated. Particularly, the concept of locally hidden or inaccessible information within subsystems of a wider quantum system is explained. Furthermore, it is shown that while some hidden-variable theories are proposed, they are not experimentally conclusive and do not provide a complete or better explanation of quantum mechanics.
Abstract. In this note we shall show that the proof of the nonlocality of Quantum Mechanics given in [1] contains a gap. We also show that Bell inequalities cannot be derived in the modified QM. In the paper [1] there is a proof of the nonlocality of Quantum Mechanics (QM). In the proof of this statement the main step is the following implication: “from EPR correlations to the predetermination”. This means the following: “A deterministic hidden variable theory was one’s only hope, if one wanted to explain the predicted quantum correlations in a local way. ” ([1]. Page 2) – i.e. the nonlocality or the pre-determination. “The important thing was instead that the only way to explain the perfect correlations locally is to attribute outcome-determining properties to the individual particles. These properties, evidently, would vary randomly from one particle pair to the next, but would be fixed (in an appropriately correlated way) once and for all at the source for a given particle pair. ” ([1], page 2). This may be called the pre-determination. “ … such deterministic hidden variables are the only way to account locally for the