Bell's inequality is a strong criterion to distinguish classic and quantum mechanical aspects of reality. Its violation is the net effect of the non-locality stored in the Heisenberg uncertainty principle (HUP) generalized by quantum gravity scenarios, called generalized uncertainty principle (GUP). Here, the effects of GUP on Bell-like operators of two, and three outcomes, as well as continuous cases, are studied. The achievements claim that the violation quality of Bell's and Bell-like inequalities may be a proper tool to get better understanding of the quantum features of gravity and its effects on reality. Indeed, it is obtained that the current accuracy of Stern-Gerlach experiments implies $\beta_0\ll10^{23}$ .Bell's inequality is a strong criterion to distinguish classic and quantum mechanical aspects of reality. Its violation is the net effect of the non-locality stored in the Heisenberg uncertainty principle (HUP) generalized by quantum gravity scenarios, called generalized uncertainty principle (GUP). Here, the effects of GUP on Bell-like operators of two, and three outcomes, as well as continuous cases, are studied. The achievements claim that the violation quality of Bell's and Bell-like inequalities may be a proper tool to get better understanding of the quantum features of gravity and its effects on reality. Indeed, it is obtained that the current accuracy of Stern-Gerlach experiments implies $\beta_0\ll10^{23}$.

Jun 28, 20210 citations

A SPACE-TIME APPROACH TO THE BELL INEQUALITY

Jeremy Butterfield

University of Notre Dame Press eBooksOct 31, 20227 citations

Bell's Theorem: A Critique

M. R. Clover

By implicitly assuming that all possible Bell-measurements occur simultaneously, all proofs of Bell's Theorem violate Heisenberg's Uncertainty Principle. This assumption is made in the original form of Bell's inequality, in Wigner's probability inequalities, and in the ``nonlocality without inequalities'' arguments. The introduction of time into derivations of these variants of Bell's theorem results in extra terms related to the time order of the measurements used in constructing correlation coefficients. Since the same locality assumptions are made in the Heisenberg-compliant derivations of this paper, only time-independent classical local hidden variable theories are forbidden by violations of the original Bell inequalities; time-dependent quantum local hidden variable theories can satisfy this new bound and agree with experiment. We further point out that factorizable wavefunctions have been used to describe some EPR experiments and can be used to describe others. These will generate local de Broglie-Bohm trajectories in the description of the data. This second, independent, line of argument also shows that violation of Bell's inequality is only evidence that Heisenberg's Uncertainty Principle cannot be ignored.By implicitly assuming that all possible Bell-measurements occur simultaneously, all proofs of Bell's Theorem violate Heisenberg's Uncertainty Principle. This assumption is made in the original form of Bell's inequality, in Wigner's probability inequalities, and in the ``nonlocality without inequalities'' arguments. The introduction of time into derivations of these variants of Bell's theorem results in extra terms related to the time order of the measurements used in constructing correlation coefficients. Since the same locality assumptions are made in the Heisenberg-compliant derivations of this paper, only time-independent classical local hidden variable theories are forbidden by violations of the original Bell inequalities; time-dependent quantum local hidden variable theories can satisfy this new bound and agree with experiment. We further point out that factorizable wavefunctions have been used to describe some EPR experiments and can be used to describe others. These will generate local de Broglie-Bohm trajectories in the description of the data. This second, independent, line of argument also shows that violation of Bell's inequality is only evidence that Heisenberg's Uncertainty Principle cannot be ignored.

arXiv:quant-ph/0502016Feb 1, 20059 citations

Misinterpretations and Contradictions of Bell Inequalities

Andre Vatarescu

Oct 24, 20260 citations

The Observer That Had To Touch (Quest for Entropy #11)

Marijus Masteika

Quest for Entropy #11: I spent this whole quest watching my machines. Then I understood that watching can never work. - Nothing here derives quantum mechanics, the Born rule, or measurement. A no-go result says what a class of approaches cannot do; it builds nothing. - The temporal Bell inequality is Leggett and Garg's, from 1985, with a large and good literature around it. - The ping-pong balls explain why measurement has to be an interaction, and that is all I use them for. They are not an explanation of the uncertainty principle — "we bumped it" is a famously insufficient account of that, and the real story is deeper than clumsiness.Quest for Entropy #11: I spent this whole quest watching my machines. Then I understood that watching can never work. - Nothing here derives quantum mechanics, the Born rule, or measurement. A no-go result says what a class of approaches cannot do; it builds nothing. - The temporal Bell inequality is Leggett and Garg's, from 1985, with a large and good literature around it. - The ping-pong balls explain why measurement has to be an interaction, and that is all I use them for. They are not an explanation of the uncertainty principle — "we bumped it" is a famously insufficient account of that, and the real story is deeper than clumsiness.

Aug 18, 20260 citations

\beta_0\ll10^{23}