The Experts below are selected from a list of 285 Experts worldwide ranked by ideXlab platform
Panu Lahti - One of the best experts on this subject based on the ideXlab platform.
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extensions and traces of functions of bounded variation on metric spaces
Journal of Mathematical Analysis and Applications, 2015Co-Authors: Panu LahtiAbstract:Abstract In the setting of a metric space equipped with a doubling measure and supporting a Poincare inequality, and based on results by Bjorn and Shanmugalingam (2007) [7] , we show that functions of bounded variation can be extended from any bounded uniform domain to the whole space. Closely related to extensions is the concept of boundary traces, which have previously been studied by Hakkarainen et al. (2014) [17] . On spaces that satisfy a suitable Locality Condition for sets of finite perimeter, we establish some basic results for the traces of functions of bounded variation. Our analysis of traces also produces novel pointwise results on the behavior of functions of bounded variation in their jump sets.
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extensions and traces of functions of bounded variation on metric spaces
arXiv: Functional Analysis, 2014Co-Authors: Panu LahtiAbstract:In the setting of a metric space equipped with a doubling measure and supporting a Poincar\'e inequality, and based on results by Bj\"orn and Shanmugalingam (2007), we show that functions of bounded variation can be extended from any bounded uniform domain to the whole space. Closely related to extensions is the concept of boundary traces, which have previously been studied by Hakkarainen et al. (2014). On spaces that satisfy a suitable Locality Condition for sets of finite perimeter, we establish some basic results for the traces of functions of bounded variation. Our analysis of traces also produces novel results on the behavior of functions of bounded variation in their jump sets.
Ramon Lapiedra - One of the best experts on this subject based on the ideXlab platform.
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Joint reality and temporal Bell inequalities
arXiv: Quantum Physics, 2006Co-Authors: Ramon LapiedraAbstract:Some new temporal Bell inequalities are deduced under joint realism assumption, using some perfect correlation property. No Locality Condition is needed. When the measured system is a macroscopic system, joint realism assumption substitutes the non-invasive measurabilioty hypothesis advantegeously, provided that the system satisfies the perfect correlation property. The new inequalities are violated quantically. This violation can be more severe than the similar violation in the case of precedent temporal Bell inequalities. Some microscopic and mesoscopic situations in which these inequalities could be tested are roughly considered.
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Joint reality and Bell inequalities for consecutive measurements
Europhysics Letters (EPL), 2006Co-Authors: Ramon LapiedraAbstract:Some new Bell inequalities for consecutive measurements are deduced under joint realism assumption, using some perfect correlation property. No Locality Condition is needed. When the measured system is a macroscopic system, joint realism assumption substitutes the non-invasive measurability hypothesis advantageously, provided that the system satisfies the perfect correlation property. The new inequalities are violated quantically. This violation can be expected to be more severe than in the case of precedent temporal Bell inequalities. Some microscopic and mesoscopic situations, in which the new inequalities could be tested, are roughly considered.
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Temporal Bell inequalities without noninvasive measurability
arXiv: Quantum Physics, 2005Co-Authors: Ramon LapiedraAbstract:Some temporal Bell inequalities are deduced under the assumption of realism and perfect correlation. No Locality Condition is needed. When the system is macroscopic, the perfect correlation assumption substitutes the noninvasive measurability hypothesis advanteousgely. The new inequalities are violated quantically. This violation is clearly more severe than the similar violation in the case of ordinary Bell inequalities. Some microscopic and macroscopic situations in which these inequalities could be tested are considered.
S. Krasnikov - One of the best experts on this subject based on the ideXlab platform.
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Quantum field theory and time machines
Physical Review D, 1998Co-Authors: S. KrasnikovAbstract:We analyze the ``F-Locality Condition'' (proposed by Kay to be a mathematical implementation of a philosophical bias related to the equivalence principle, which we call it the ``GH-equivalence principle''), which is often used to build a generalization of quantum field theory to nonglobally hyperbolic spacetimes. In particular we argue that the theorem proved by Kay, Radzikowski, and Wald to the effect that time machines with compactly generated Cauchy horizons are incompatible with the F-Locality Condition actually does not support the ``chronology protection conjecture,'' but rather testifies that the F-Locality Condition must be modified or abandoned. We also show that this Condition imposes a severe restriction on the geometry of the world (it is just this restriction that comes into conflict with the existence of a time machine), which does not follow from the above mentioned philosophical bias. So, one need not sacrifice the GH-equivalence principle to ``amend'' the F-Locality Condition. As an example we consider a particular modification, the ``MF-Locality Condition.'' The theory obtained by replacing the F-Locality Condition with the MF-Locality Condition possesses a few attractive features. One of them is that it is consistent with both Locality and the existence of time machines.
H. Razmi - One of the best experts on this subject based on the ideXlab platform.
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Is the Clauser–Horne model of Bell's theorem completely stochastic?
Journal of Physics A: Mathematical and General, 2005Co-Authors: H. RazmiAbstract:The stochastic Clauser–Horne (CH) model of Bell's theorem [1] is considered and by applying the Locality Condition it is shown that this (local) model, as far as applied to the singlet-state and without using quantum mechanical formalism, is not completely stochastic (i.e. there are possible configurations for which the model is deterministic).
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ON THE ROLE OF Locality Condition IN BELL'S THEOREM
International Journal of Quantum Information, 2003Co-Authors: H. RazmiAbstract:For a special stochastic realistic model in certain spin-correlation experiments and without imposing the Locality Condition, an inequality is found. Then, it is shown that quantum theory is able (is possible) to violate this inequality. This shows that, irrespective of the Locality Condition, the quantum entanglement of the spin singlet-state is the reason for the violation of Bell's inequality in Bell's theorem.
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Locality Is An Unnecessary Assumption of Bell's Theorem
1998Co-Authors: H. Razmi, Mehdi GolshaniAbstract:Without imposing the Locality Condition,it is shown that quantum mechanics cannot reproduce all the predictions of a special stochastic realistic model used in certain spin-correlation experiments.This shows that the so-called Locality Condition is an unnecessary assumption of Bell's theorem.
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Mathematical and Physical Examination of the Locality Condition in Bell's Theorem
arXiv: Quantum Physics, 1998Co-Authors: H. RazmiAbstract:Using the Clauser-Horne model of Bell's theorem, the Locality Condition is examined and it is shown the corresponding formulation is equivalent to a factorization process consisting of three stages. The first stage is introduced based on the Conditional probability definition in classical theory of probability and the other two stages are based on previously-known relations named as outcome and parameter independence Conditions.
Mehdi Golshani - One of the best experts on this subject based on the ideXlab platform.
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Bell's Theorem and Chemical Potential
Journal of Physics A: Mathematical and General, 2002Co-Authors: Afshin Shafiee, Mehdi Golshani, M. Ghasem MahjaniAbstract:Chemical potential is a property which involves the effect of interaction between the components of a system, and it results from the whole system. In this paper, we argue that for two particles which have interacted via their spins and are now spatially separated, the so-called Bell's Locality Condition implies that the chemical potential of each particle is an individual property. Here is a point where quantum statistical mechanics and the local hidden variable theories are in conflict. Based on two distinct concepts of chemical potential, the two theories predict two different patterns for the energy levels of a system of two entangled particles. In this manner, we show how one can distinguish the non-separable features of a two-particle system.
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On The Significance of Bell's Locality Condition
2002Co-Authors: Afshin Shafiee, Mehdi GolshaniAbstract:Reviewing the general representation of a stochastic local hidden variables theory in the context of an ideal Bohm’s version of the EPR experiment, we show explicitly that the violation of Bell’s Locality Condition is due to the assumption of “outcome independence” at the hidden variables level. Also, we show that if we introduce determinism, the assumption of outcome independence will be allowed.
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Is Bell's Locality Condition necessary for the derivation of Bell's inequality ?
2001Co-Authors: Mehdi Golshani, A. FahmiAbstract:In this paper, we have derived, in a very simple way, the original Bell's and CH's inequalities without using Bell's original Locality Condition.
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is bell s Locality Condition necessary for the derivation of bell s inequality
Annales de la Fondation Louis de Broglie, 2001Co-Authors: Mehdi Golshani, A. FahmiAbstract:In this paper, we have derived, in a very simple way, the original Bell's and CH's inequalities without using Bell's original Locality Condition.
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Locality Is An Unnecessary Assumption of Bell's Theorem
1998Co-Authors: H. Razmi, Mehdi GolshaniAbstract:Without imposing the Locality Condition,it is shown that quantum mechanics cannot reproduce all the predictions of a special stochastic realistic model used in certain spin-correlation experiments.This shows that the so-called Locality Condition is an unnecessary assumption of Bell's theorem.
