scholarly journals Bell's Inequalities, Superquantum Correlations, and String Theory

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
Lay Nam Chang ◽  
Zachary Lewis ◽  
Djordje Minic ◽  
Tatsu Takeuchi ◽  
Chia-Hsiung Tze
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
String Theory ◽  
String Tension ◽  
Coupling Constant ◽  
Bell’S Inequalities ◽  
Deformation Parameters ◽  
Usual Quantum ◽  
Bell's Inequalities

We offer an interpretation of superquantum correlations in terms of a “doubly” quantum theory. We argue that string theory, viewed as a quantum theory with two deformation parameters, the string tensionα', and the string coupling constantgs, is such a superquantum theory that transgresses the usual quantum violations of Bell's inequalities. We also discuss theℏ→∞limit of quantum mechanics in this context. As a superquantum theory, string theory should display distinct experimentally observable supercorrelations of entangled stringy states.

scholarly journals QUANTUM TEAM LOGIC AND BELL’S INEQUALITIES

2015 ◽  
Vol 8 (4) ◽  
pp. 722-742 ◽  
Author(s):  
TAPANI HYTTINEN ◽  
GIANLUCA PAOLINI ◽  
JOUKO VÄÄNÄNEN
Keyword(s):  
Quantum Mechanics ◽  
Completeness Theorem ◽  
Probability Logic ◽  
Bell’S Inequalities ◽  
Dependence Logic ◽  
Logical Approach ◽  
Team Semantics ◽  
Bell's Inequalities

AbstractA logical approach to Bell’s Inequalities of quantum mechanics has been introduced by Abramsky and Hardy (Abramsky & Hardy, 2012). We point out that the logical Bell’s Inequalities of Abramsky & Hardy (2012) are provable in the probability logic of Fagin, Halpern and Megiddo (Fagin et al., 1990). Since it is now considered empirically established that quantum mechanics violates Bell’s Inequalities, we introduce a modified probability logic, that we call quantum team logic, in which Bell’s Inequalities are not provable, and prove a Completeness theorem for this logic. For this end we generalise the team semantics of dependence logic (Väänänen, 2007) first to probabilistic team semantics, and then to what we call quantum team semantics.

Test of the violation of local realism in quantum mechanics with no use of Bell's inequalities

Erkenntnis ◽  
1996 ◽  
Vol 45 (2-3) ◽  
pp. 367-377
Author(s):  
G. Di Giuseppe ◽  
F. De Martini ◽  
D. Boschi
Keyword(s):  
Quantum Mechanics ◽  
Local Realism ◽  
Bell’S Inequalities ◽  
Bell's Inequalities

scholarly journals CAUSAL QUANTUM MECHANICS TREATING POSITION AND MOMENTUM SYMMETRICALLY

1995 ◽  
Vol 10 (08) ◽  
pp. 709-716 ◽  
Author(s):  
S. M. ROY ◽  
VIRENDRA SINGH
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Wigner Distribution ◽  
Probability Distributions ◽  
Joint Probability ◽  
Positive Definite ◽  
Joint Probability Distribution ◽  
Phase Space Density ◽  
Usual Quantum ◽  
Position Probability

De Broglie and Bohm formulated a causal quantum mechanics with a phase space density whose integral over momentum reproduces the position probability density of the usual statistical quantum theory. We propose a causal quantum theory with a joint probability distribution such that the separate probability distributions for position and momentum agree with the usual quantum theory. Unlike the Wigner distribution the suggested distribution is positive-definite and obeys the Liouville condition.

GENERAL RELATIVITY AND QUANTUM MECHANICS

2001 ◽  
Vol 16 (01) ◽  
pp. 1-16
Author(s):  
J. B. HARTLE
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Degrees Of Freedom ◽  
Causal Structure ◽  
Planck Scale ◽  
Quantum Theories ◽  
Spacetime Geometry ◽  
Usual Quantum ◽  
Quantum Variable ◽  
Usual Theory

Usual quantum mechanics requires a fixed background spacetime geometry and its associated causal structure. A generalization of the usual theory may therefore be needed at the Planck scale for quantum theories of gravity in which spacetime geometry is a quantum variable. The elements of generalized quantum theory are briefly reviewed and illustrated by generalizations of usual quantum theory that incorporate spacetime alternatives, gauge degrees of freedom, and histories that move forward and backward in time. A generalized quantum framework for cosmological spacetime geometry is sketched. This theory is in fully four-dimensional form and free from the need for a fixed causal structure. Usual quantum mechanics is recovered as an approximation to this more general framework that is appropriate in those situations where spacetime geometry behaves classically.

scholarly journals Quantum mechanics and Bell’s inequalities

1994 ◽  
Vol 72 (17) ◽  
pp. 2675-2677 ◽  
Author(s):  
R. T. Jones ◽  
E. G. Adelberger
Keyword(s):  
Quantum Mechanics ◽  
Bell’S Inequalities ◽  
Bell's Inequalities
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