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Title:

Opposite arrows of time can reconcile relativity and nonlocality

Description:

We present a quantum model for the motion of N point particles, implying nonlocal (i.e., superluminal) influences of external fields on the trajectories, that is nonetheless fully relativistic. In contrast to other models that have been proposed, this one involves no additional space-time structure as would be provided by a (possibly dynamical) ...

We present a quantum model for the motion of N point particles, implying nonlocal (i.e., superluminal) influences of external fields on the trajectories, that is nonetheless fully relativistic. In contrast to other models that have been proposed, this one involves no additional space-time structure as would be provided by a (possibly dynamical) foliation of space-time. This is achieved through the interplay of opposite microcausal and macrocausal (i.e., thermodynamic) arrows of time. PACS numbers 03.65.Ud; 03.65.Ta; 03.30.+p We challenge in this paper a conclusion that is almost universally accepted: that quantum phenomena, relativity, and realism are incompatible. We show that, just as in the case of the no-hidden-variables theorems, this conclusion is hasty. And, as in the hidden variables case, we do so with a counterexample. We present a relativistic toy model for nonlocal quantum phenomena that avoids the usual quantum subjectivity, or fundamental appeal to an observer, and describes instead, in a rather natural way, an objective motion of particles in Minkowski space. In contrast to that of [4], see below, our model invokes only the structure at hand: relativistic structure provided by the Lorentz metric and quantum structure provided by a wave function. It shares the conceptual framework—and forms a natural generalization—of Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0105040v4.pdf

http://arxiv.org/pdf/quant-ph/0105040v4.pdf Minimize

Document Type:

text

Language:

en

DDC:

115 Time *(computed)*

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Title:

A Relativistic Version of the Ghirardi-Rimini-Weber Model

Description:

Carrying out a research program outlined by John S. Bell in 1987, we arrive at a relativistic version of the Ghirardi–Rimini–Weber (GRW) model of spontaneous wavefunction collapse. As suggested by Bell, we take the primitive ontology, or local beables, of our model to be a discrete set of space-time points, at which the collapses are centered. T...

Carrying out a research program outlined by John S. Bell in 1987, we arrive at a relativistic version of the Ghirardi–Rimini–Weber (GRW) model of spontaneous wavefunction collapse. As suggested by Bell, we take the primitive ontology, or local beables, of our model to be a discrete set of space-time points, at which the collapses are centered. This set is random with distribution determined by the initial wavefunction. The model is nonlocal and violates Bell’s inequality though it does not make use of a preferred slicing of space-time or any other sort of synchronization of spacelike separated points. Like the GRW model, it reproduces the quantum probabilities in all cases presently testable, though it entails deviations from the quantum formalism that are in principle testable. Our model works in Minkowski space-time as well as in (well-behaved) curved background space-times. PACS numbers: 03.65.Ta; 03.65.Ud; 03.30.+p. Key words: spontaneous wavefunction collapse; relativity; quantum theory without observers. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0406094v1.pdf

http://arxiv.org/pdf/quant-ph/0406094v1.pdf Minimize

Document Type:

text

Language:

en

DDC:

115 Time *(computed)*

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

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Title:

the Klein–Gordon equation”

Description:

energy-momentum and particle trajectories for

energy-momentum and particle trajectories for Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0202140v2.pdf

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Document Type:

text

Language:

en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Title:

and

Description:

We present a quantum model for the motion of N point particles, implying nonlocal (i.e., superluminal) influences of external fields on the trajectories, that is nonetheless fully relativistic. In contrast to other models that have been proposed, this one involves no additional space-time structure as would be provided by a (possibly dynamical) ...

We present a quantum model for the motion of N point particles, implying nonlocal (i.e., superluminal) influences of external fields on the trajectories, that is nonetheless fully relativistic. In contrast to other models that have been proposed, this one involves no additional space-time structure as would be provided by a (possibly dynamical) foliation of space-time. This is achieved through the interplay of opposite microcausal and macrocausal (i.e., thermodynamic) arrows of time. PACS numbers 03.65.Ud; 03.65.Ta; 03.30.+p We challenge in this paper a conclusion that is almost universally accepted: that quantum phenomena, relativity, and realism are incompatible. We show that, just as in the case of the no-hidden-variables theorems, this conclusion is hasty. And, as in the hidden variables case, we do so with a counterexample. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0105040v2.pdf

http://arxiv.org/pdf/quant-ph/0105040v2.pdf Minimize

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text

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en

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Title:

Response to Horton and Dewdney

Description:

There are some points in the reply of Horton et al. [3] to my comment [2] on their paper [1] which I cannot let stand without a response. I provide here some clarification of how much I proved about the set of points where their law of motion is ill-defined. In a recent article in J. Phys. A [1], Horton et al. present what they claim is a Bohm-t...

There are some points in the reply of Horton et al. [3] to my comment [2] on their paper [1] which I cannot let stand without a response. I provide here some clarification of how much I proved about the set of points where their law of motion is ill-defined. In a recent article in J. Phys. A [1], Horton et al. present what they claim is a Bohm-type law of motion for point particles, based on a Klein–Gordon wave function and implying (unlike a similar law proposed by de Broglie) timelike world lines. Concerning this claim I pointed out in a comment [2] that the prescription they give is ill-defined in some situations, and underpinned this by a concrete example. In addition, I gave arguments to the effect that the set of “bad ” space-time points, where the law of motion is ill-defined, is a set of positive measure for many wave functions. To this Horton et al. have responded [3], ignoring my arguments, that although bad points may exist, they form a set of lesser dimension and therefore can be dealt with by a limiting procedure. I wish here to point out that the response of Horton et al. is entirely without merit. Here is why: In my comment I pointed out that those space-time points are bad where both vectors W + µ and W − µ that appear in the law of Horton et al. are spacelike, or, equivalently, where W + µ W +µ < 0 and W − µ W −µ < 0. Given that the vector fields Pµ and Sµ (on which the construction of W + µ and W − µ relies) are continuous, the functions W + µ W +µ and W − µ W −µ are continuous, too, and thus their values remain negative in an entire neighborhood of any bad space-time point. Therefore, the bad points form an open set, quite contrary to the picture of “nodal lines ” or even “isolated points ” that Horton et al. suggest in their Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0210018v1.pdf

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Document Type:

text

Language:

en

DDC:

340 Law *(computed)*

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Title:

The Analogue of Bohm–Bell Processes on a Graph

Description:

Bohm–Bell processes, of interest in the foundations of quantum field theory, form a class of Markov processes Qt generalizing in a natural way both Bohm’s dynamical system in configuration space for nonrelativistic quantum mechanics and Bell’s jump process for lattice quantum field theories. They are such that at any time t the distribution of Q...

Bohm–Bell processes, of interest in the foundations of quantum field theory, form a class of Markov processes Qt generalizing in a natural way both Bohm’s dynamical system in configuration space for nonrelativistic quantum mechanics and Bell’s jump process for lattice quantum field theories. They are such that at any time t the distribution of Qt is |ψt | 2 with ψ the wave function of quantum theory. We extend this class here by introducing the analogous Markov process for quantum mechanics on a graph (also called a network, i.e., a space consisting of line segments glued together at their ends). It is a piecewise deterministic process whose innovations occur only when it passes through a vertex. MSC (2000): 81S99, 60J25. PACS: 02.50.Ga; 03.65.Ta. Key words: Bohmian mechanics; Bell’s jump process; quantum mechanics on a graph; equivariant Markov processes; flow on a graph. 1 Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0508109v2.pdf

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text

Language:

en

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Title:

On Spontaneous Wave Function Collapse and Quantum Field Theory

Description:

One way of obtaining a version of quantum mechanics without observers, and thus of solving the paradoxes of quantum mechanics, is to modify the Schrödinger evolution by implementing spontaneous collapses of the wave function. An explicit model of this kind was proposed in 1986 by Ghirardi, Rimini, and Weber (GRW), involving a nonlinear, stochast...

One way of obtaining a version of quantum mechanics without observers, and thus of solving the paradoxes of quantum mechanics, is to modify the Schrödinger evolution by implementing spontaneous collapses of the wave function. An explicit model of this kind was proposed in 1986 by Ghirardi, Rimini, and Weber (GRW), involving a nonlinear, stochastic evolution of the wave function. We point out how, by focussing on the essential mathematical structure of the GRW model and a clear ontology, it can be generalized to (regularized) quantum field theories in a simple and natural way. PACS numbers: 03.65.Ta; 03.70.+k. Key words: quantum field theory without observers; Ghirardi–Rimini–Weber model; identical particles; second quantization. 1 Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0508230v2.pdf

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text

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en

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Title:

A relativistic version of the Ghirardi–Rimini–Weber model

Description:

Carrying out a research program outlined by John S. Bell in 1987, we arrive at a relativistic version of the Ghirardi–Rimini–Weber (GRW) model of spontaneous wavefunction collapse. The GRW model was proposed as a solution of the measurement problem of quantum mechanics and involves a stochastic and nonlinear modification of the Schrödinger equat...

Carrying out a research program outlined by John S. Bell in 1987, we arrive at a relativistic version of the Ghirardi–Rimini–Weber (GRW) model of spontaneous wavefunction collapse. The GRW model was proposed as a solution of the measurement problem of quantum mechanics and involves a stochastic and nonlinear modification of the Schrödinger equation. It deviates very little from the Schrödinger equation for microscopic systems but efficiently suppresses, for macroscopic systems, superpositions of macroscopically different states. As suggested by Bell, we take the primitive ontology, or local beables, of our model to be a discrete set of space-time points, at which the collapses are centered. This set is random with distribution determined by the initial wavefunction. Our model is nonlocal and violates Bell’s inequality though it does not make use of a preferred slicing of space-time or any other sort of synchronization of spacelike separated points. Like the GRW model, it reproduces the quantum probabilities in all cases presently testable, though it entails deviations from the quantum formalism that are in principle testable. Our model works in Minkowski space-time as well as in (well-behaved) curved background space-times. PACS numbers: 03.65.Ta; 03.65.Ud; 03.30.+p. Key words: spontaneous wavefunction collapse; relativity; quantum theory without observers. 1 Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0406094v2.pdf

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Document Type:

text

Language:

en

DDC:

115 Time *(computed)*

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Title:

Collapse and relativity

Description:

Abstract. Ever since we have been in the possession of quantum theories without observers, such as Bohmian mechanics or the Ghirardi–Rimini–Weber (GRW) theory of spontaneous wave function collapse, a major challenge in the foundations of quantum mechanics is to devise a relativistic quantum theory without observers. One of the difficulties is to...

Abstract. Ever since we have been in the possession of quantum theories without observers, such as Bohmian mechanics or the Ghirardi–Rimini–Weber (GRW) theory of spontaneous wave function collapse, a major challenge in the foundations of quantum mechanics is to devise a relativistic quantum theory without observers. One of the difficulties is to reconcile nonlocality with relativity. I report about recent progress in this direction based on the GRW model: A relativistic version of the model has been devised for the case of N noninteracting (but entangled) particles. A key ingredient was to focus not on the evolution of the wave function but rather on the evolution of the matter in space-time as determined by the wave function. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-03

Source:

http://arxiv.org/pdf/quant-ph/0602208v1.pdf

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text

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en

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Title:

The “Unromantic Pictures” of Quantum Theory

Description:

I am concerned with two views of quantum mechanics that John S. Bell called “unromantic”: spontaneous wave function collapse and Bohmian mechanics. I discuss some of their merits and report about recent progress concerning extensions to quantum field theory and relativity. In the last section, I speculate about an extension of Bohmian mechanics ...

I am concerned with two views of quantum mechanics that John S. Bell called “unromantic”: spontaneous wave function collapse and Bohmian mechanics. I discuss some of their merits and report about recent progress concerning extensions to quantum field theory and relativity. In the last section, I speculate about an extension of Bohmian mechanics to quantum gravity. PACS numbers: 03.65.Ta; 03.70.+k. Key words: quantum theory without observers; Ghirardi–Rimini–Weber model of spontaneous wave function collapse; Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-12-05

Source:

http://arxiv.org/pdf/quant-ph/0607124v1.pdf

http://arxiv.org/pdf/quant-ph/0607124v1.pdf Minimize

Document Type:

text

Language:

en

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1.3 The Truman Show. 6

1.3 The Truman Show. 6 Minimize

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