We argue that the participants of the discussion have overlooked an essential circumstance, in view of which Stapp's fifth proposition fails. The circumstance is that though $L$ and $R$ measurements, being causally separated, are not invariantly time ordered, quantum-jump hypersurfaces associated with the measurements are causelikewise ordered. Stapp's fifth proposition is true iff $L$ hypersurface precedes $R$ one; but within the limits of special relativity, it is impossible to determine the causelike order of those hypersurfaces. The entire Stapp's construct is revised.We argue that the participants of the discussion have overlooked an essential circumstance, in view of which Stapp's fifth proposition fails. The circumstance is that though $L$ and $R$ measurements, being causally separated, are not invariantly time ordered, quantum-jump hypersurfaces associated with the measurements are causelikewise ordered. Stapp's fifth proposition is true iff $L$ hypersurface precedes $R$ one; but within the limits of special relativity, it is impossible to determine the causelike order of those hypersurfaces. The entire Stapp's construct is revised.

arXiv:quant-ph/9801032Jan 15, 19981 citation

Bell's Theorem and Spacetime-Based Reformulations of Quantum Mechanics

K. B. Wharton, Nathan Argaman

Jun 10, 20196 citations

Bell's Theorem and the Theory of Relativity

Yutaka TANAKA

This paper starts with the observation that the combination of the so-calld EPR argument and Bell's theorem reveals one of the most paradoxical features of quantum reality, i.e. the no-separability of two contingent events. If we accept the conclusion of the revised EPR argument together with Bell's theorem, we are necessarily led to the denial of local causality which was presupposed by the original version of Einstein's criticism against quantum physics.. As the concept of local causality is a cornerstone of Einstein's theory of relativity, we next consider the problem of compatibility between the theory of relativity and quantum physics. Popper's proposal of going back to Lorentz's theory is examined and rejected because the quantum correlation of EPR is not to be interpreted as “an action at a distance” which we can control and use as the operational definition of absolute simultaneity. An inquiry into something like aether as hidden reality behind the theory of relativity is considered as retrogressive as the so-called hidden variable theory of quantum physics. Accepting the non-separability of local elements of reality as the undeniable fact, we discuss the possibility of a realistic interpretation of quantum physics which transcends scientific materialism and classical determinism. As an example of such projects, Stapp's theory is examined with respect to a Whiteheadean process philosophy which provides the meta-physical background for his realistic interpretation of quantum physics. Finally, we present another version of quantum meta-physics based on “the philosophy of organism” which is broad enough to include observer and observed, local causality and non-local correlation, space and time, and potentiality and actuality in the inseparable unity of physical reality.This paper starts with the observation that the combination of the so-calld EPR argument and Bell's theorem reveals one of the most paradoxical features of quantum reality, i.e. the no-separability of two contingent events. If we accept the conclusion of the revised EPR argument together with Bell's theorem, we are necessarily led to the denial of local causality which was presupposed by the original version of Einstein's criticism against quantum physics.. As the concept of local causality is a cornerstone of Einstein's theory of relativity, we next consider the problem of compatibility between the theory of relativity and quantum physics. Popper's proposal of going back to Lorentz's theory is examined and rejected because the quantum correlation of EPR is not to be interpreted as “an action at a distance” which we can control and use as the operational definition of absolute simultaneity. An inquiry into something like aether as hidden reality behind the theory of relativity is considered as retrogressive as the so-called hidden variable theory of quantum physics. Accepting the non-separability of local elements of reality as the undeniable fact, we discuss the possibility of a realistic interpretation of quantum physics which transcends scientific materialism and classical determinism. As an example of such projects, Stapp's theory is examined with respect to a Whiteheadean process philosophy which provides the meta-physical background for his realistic interpretation of quantum physics. Finally, we present another version of quantum meta-physics based on “the philosophy of organism” which is broad enough to include observer and observed, local causality and non-local correlation, space and time, and potentiality and actuality in the inseparable unity of physical reality.

Annals of the Japan Association for Philosophy of ScienceJan 1, 19920 citations

We argue that the participants of the discussion have overlooked an essential circumstance, in view of which Stapp's fifth proposition fails. The circumstance is that though

L

and

R

measurements, being causally separated, are not invariantly time ordered, quantum-jump hypersurfaces associated with the measurements are causelikewise ordered. Stapp's fifth proposition is true iff

L

hypersurface precedes

R

one; but within the limits of special relativity, it is impossible to determine the causelike order of those hypersurfaces. The entire Stapp's construct is revised.