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Title:

Dynamics of the Fisher Information Metric

Description:

We present a method to generate probability distributions that correspond to metrics obeying partial differential equations generated by extremizing a functional J[g µν (θ i)], where g µν (θ i) is the Fisher metric. We postulate that this functional of the dynamical variable g µν (θ i) is stationary with respect to small variations of these vari...

We present a method to generate probability distributions that correspond to metrics obeying partial differential equations generated by extremizing a functional J[g µν (θ i)], where g µν (θ i) is the Fisher metric. We postulate that this functional of the dynamical variable g µν (θ i) is stationary with respect to small variations of these variables. Our approach enables a dynamical approach to Fisher information metric. It allows to impose symmetries on a statistical system in a systematic way. This work is mainly motivated by the entropy approach to nonmonotonic reasoning. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-30

Source:

http://arxiv.org/pdf/cond-mat/0410452v1.pdf

http://arxiv.org/pdf/cond-mat/0410452v1.pdf Minimize

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.

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

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Title:

Metric on a Statistical Space-Time

Description:

We introduce a concept of distance for a space-time where the notion of point is replaced by the notion of physical states e.g. probability distributions. We apply ideas of information theory and compute the Fisher information matrix on such a space-time. This matrix is the metric on that manifold. We apply these ideas to a simple model and show...

We introduce a concept of distance for a space-time where the notion of point is replaced by the notion of physical states e.g. probability distributions. We apply ideas of information theory and compute the Fisher information matrix on such a space-time. This matrix is the metric on that manifold. We apply these ideas to a simple model and show that the Lorentzian metric can be obtained if we assumed that the probability distributions describing space-time uctuations have complex values. Such complex probability distributions appear in non-Hermitian quantum mechanics. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2009-04-18

Source:

http://iaks-www.ira.uka.de/iaks-calmet/papers/0403043.ps

http://iaks-www.ira.uka.de/iaks-calmet/papers/0403043.ps Minimize

Document Type:

text

Language:

en

Rights:

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

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

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Title:

Dynamics of the Fisher Information Metric

Description:

We present a method to generate probability distributions that correspond to metrics obeying partial differential equations generated by extremizing a functional J[g µν (θ i)], where g µν (θ i) is the Fisher metric. We postulate that this functional of the dynamical variable g µν (θ i) is stationary with respect to small variations of these vari...

We present a method to generate probability distributions that correspond to metrics obeying partial differential equations generated by extremizing a functional J[g µν (θ i)], where g µν (θ i) is the Fisher metric. We postulate that this functional of the dynamical variable g µν (θ i) is stationary with respect to small variations of these variables. Our approach enables a dynamical approach to Fisher information metric. It allows to impose symmetries on a statistical system in a systematic way. This work is mainly motivated by the entropy approach to nonmonotonic reasoning. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2008-07-01

Source:

http://iaks-www.ira.uka.de/iaks-calmet/papers/FisherMetric.pdf

http://iaks-www.ira.uka.de/iaks-calmet/papers/FisherMetric.pdf Minimize

Document Type:

text

Language:

en

Rights:

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

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

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Title:

Metric on a Statistical Space-Time

Description:

We introduce a concept of distance for a space-time where the notion of point is replaced by the notion of physical states e.g. probability distributions. We apply ideas of information theory and compute the Fisher information matrix on such a space-time. This matrix is the metric on that manifold. We apply these ideas to a simple model and show...

We introduce a concept of distance for a space-time where the notion of point is replaced by the notion of physical states e.g. probability distributions. We apply ideas of information theory and compute the Fisher information matrix on such a space-time. This matrix is the metric on that manifold. We apply these ideas to a simple model and show that the Lorentzian metric can be obtained if we assumed that the probability distributions describing space-time fluctuations have complex values. Such complex probability distributions appear in non-Hermitian quantum mechanics. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-09-14

Source:

http://arxiv.org/pdf/math-ph/0403043v1.pdf

http://arxiv.org/pdf/math-ph/0403043v1.pdf Minimize

Document Type:

text

Language:

en

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Title:

Differential Entropy on Statistical Spaces

Description:

We must introduce an abstract.

We must introduce an abstract. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2008-07-01

Source:

http://iaks-www.ira.uka.de/iaks-calmet/papers/paperOrlando.pdf

http://iaks-www.ira.uka.de/iaks-calmet/papers/paperOrlando.pdf Minimize

Document Type:

text

Language:

en

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Title:

On the Precision of a Length Measurement

Description:

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be inserted by the editor) Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-31

Source:

http://arxiv.org/pdf/hep-th/0701073v1.pdf

http://arxiv.org/pdf/hep-th/0701073v1.pdf Minimize

Document Type:

text

Language:

en

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Title:

The Cosmological Evolution of the Nucleon Mass and the Electroweak Coupling Constants,” hep-ph/0112110

Description:

Starting from astrophysical indications that the fine structure constant might undergo a small time shift, we discuss the implications of such an effect from the point of view of particle physics. Grand unification implies small time shifts for the nucleon mass, the magnetic moment of the nucleon and the Fermi constant as well. The relative chan...

Starting from astrophysical indications that the fine structure constant might undergo a small time shift, we discuss the implications of such an effect from the point of view of particle physics. Grand unification implies small time shifts for the nucleon mass, the magnetic moment of the nucleon and the Fermi constant as well. The relative change of the nucleon mass is 123 times larger than the relative change of alpha. Laboratory measurements using very advanced methods in quantum optics might soon reveal small time shifts of the nucleon mass, the magnetic moment of the nucleon and the fine structure constant, thereby providing not only a breakthrough in the understanding of the unified particle interactions, but also an important cross-link between particle physics and cosmology. 1 partially supported by the Deutsche Forschungsgemeinschaft, DFG-No. FR 412/27-2 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-09-17

Source:

http://arxiv.org/pdf/hep-ph/0112110v2.pdf

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Document Type:

text

Language:

en

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Title:

Service de Physique Théorique, CP225

Description:

We consider electrodynamics on a noncommutative spacetime using the enveloping algebra approach and perform a non-relativistic expansion of the effective action. We obtain the Hamiltonian for quantum mechanics formulated on a canonical noncommutative spacetime. An interesting new feature of quantum mechanics formulated on a noncommutative spacet...

We consider electrodynamics on a noncommutative spacetime using the enveloping algebra approach and perform a non-relativistic expansion of the effective action. We obtain the Hamiltonian for quantum mechanics formulated on a canonical noncommutative spacetime. An interesting new feature of quantum mechanics formulated on a noncommutative spacetime is an intrinsic electric dipole moment. We note however that noncommutative intrinsic dipole moments are not observable in present experiments searching for an EDM of leptons or nuclei such as the neutron since they are spin independent. These experiments are sensitive to the energy difference between two states and the noncommutative effect thus cancels out. Bounds on the noncommutative scale found in the literature relying on such intrinsic electric dipole moment are thus incorrect. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-30

Source:

http://arxiv.org/pdf/hep-th/0608035v1.pdf

http://arxiv.org/pdf/hep-th/0608035v1.pdf Minimize

Document Type:

text

Language:

en

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Title:

Kaluza-Klein theories and the anomalous magnetic moment of the muon,” Phys

Description:

We discuss nonminimal couplings of fermions to the electromagnetic field, which generically appear in models with extra dimensions. We consider models where the electromagnetic field is generated by the Kaluza-Klein mechanism. The nonminimal couplings contribute at tree-level to anomalous magnetic and electric dipole moments of fermions. We use ...

We discuss nonminimal couplings of fermions to the electromagnetic field, which generically appear in models with extra dimensions. We consider models where the electromagnetic field is generated by the Kaluza-Klein mechanism. The nonminimal couplings contribute at tree-level to anomalous magnetic and electric dipole moments of fermions. We use recent measurements of these quantities to put limits on the parameters of models with extra dimensions. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-09-16

Source:

http://arxiv.org/pdf/hep-ph/0104278v2.pdf

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text

Language:

en

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Title:

Effective Field Theories on Non-Commutative Space-Time

Description:

We consider Yang-Mills theories formulated on a non-commutative space-time described by a space-time dependent anti-symmetric field θ µν (x). Using Seiberg-Witten map techniques we derive the leading order operators for the effective field theories that take into account the effects of such a background field. These effective theories are valid ...

We consider Yang-Mills theories formulated on a non-commutative space-time described by a space-time dependent anti-symmetric field θ µν (x). Using Seiberg-Witten map techniques we derive the leading order operators for the effective field theories that take into account the effects of such a background field. These effective theories are valid for a weakly non-commutative space-time. It is remarkable to note that already simple models for θ µν (x) can help to loosen the bounds on space-time non-commutativity coming from low energy physics. Non-commutative geometry formulated in our framework is a potential candidate for new physics beyond the standard model. 1 Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-23

Source:

http://arxiv.org/pdf/hep-ph/0305027v1.pdf

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Document Type:

text

Language:

en

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