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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

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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:

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

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-09-14

Source:

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

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

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Title:

Differential Entropy on Statistical Spaces

Description:

We must introduce an abstract.

We must introduce an abstract. Minimize

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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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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

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2008-07-01

Source:

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

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Document Type:

text

Language:

en

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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:

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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Title:

YANG-MILLS THEORIES ON NONCOMMUTATIVE SPACE-TIME

Description:

We describe some recent progress in our understanding of Yang-Mills theories formulated on noncommutative spaces and in particular how to formulate the standard model on such spaces The idea that space-time might be noncommutative at short distances is not new but it was taken very seriously recently because noncommutative coordinates were found...

We describe some recent progress in our understanding of Yang-Mills theories formulated on noncommutative spaces and in particular how to formulate the standard model on such spaces The idea that space-time might be noncommutative at short distances is not new but it was taken very seriously recently because noncommutative coordinates were found in a specific limit of string theory. This is nevertheless not the only motivation to study Yang-Mills theories on noncommutative spaces. In the early days of quantum field theories, it was thought that a fundamental cutoff might be useful to regularize the infinities appearing in these theories. Nowadays it is understood that gauge theories describing the strong and electroweak interactions are renormalizable and thus infinities cancel, but it might still be useful to have a fundamental cutoff to make sense of a quantum theory of gravity, whatever this might be. A more pragmatic approach is that space-time could simply be noncommutative at short distances in which case one has to understand how the standard model can emerge as a low energy model of a Yang-Mills theory formulated on a noncommutative space-time. The simplest noncommutative relations one can study are [ˆx µ, ˆx ν] ≡ ˆx µ ˆx ν − ˆx ν ˆx µ = iθ µν, θ µν ∈ C. Postulating such relations implies that Lorentz covariance is explicitly broken. These relations also imply uncertainty relations for space-time coordinates which are a reminiscence of the famous Heisenberg uncertainty relations for momentum and space coordinates. Note that θ µν is a dimensional full quantity, dim(θ µν)=mass −2. If this mass scale is large enough, θ µν can be used as an expansion parameter like � in quantum mechanics. We adopt the usual convention: a variable or function with a hat is a noncommutative one. 1 February 1, 2008 17:50 WSPC/Trim Size: 9in x 6in for Proceedings xc-susy03 2 There are different approaches to gauge field theory on noncommutative spaces, see 1 and references therein. If fields are assumed to be Lie algebra valued, it turns out that only U(N) structure groups are conceivable because the commutator [ ˆ Λ ⋆ , ˆ Λ ′] = 1 2 { ˆ Λa(x) ⋆ , ˆ Λ ′ b (x)}[T a, T b] + 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-30

Source:

http://arxiv.org/pdf/hep-th/0401212v1.pdf

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Document Type:

text

Language:

en

DDC:

539 Modern physics *(computed)*

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Title:

On the Precision of a Length Measurement

Description:

be inserted by the editor)

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-31

Source:

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

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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

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-09-16

Source:

http://arxiv.org/pdf/hep-ph/0104278v1.pdf

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text

Language:

en

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Title:

The Higgs Boson Might Not Couple To B Quarks.

Description:

We discuss an alternative version of the electroweak standard model, in which only the heavy t quark, not the light fermions, couples to the Higgs boson with a strength given by the standard model. The Higgs particle decays dominantly into two gluons jets. The branching ratio for the 2γ decay is about 3.5%. The Higgs particle would be a narrow o...

We discuss an alternative version of the electroweak standard model, in which only the heavy t quark, not the light fermions, couples to the Higgs boson with a strength given by the standard model. The Higgs particle decays dominantly into two gluons jets. The branching ratio for the 2γ decay is about 3.5%. The Higgs particle would be a narrow object (width about 60 KeV), and its mass might be consistent with the value given by typical estimates of radiative effects measured by the LEP experiments. to appear in Physics Letters B.As far as the mass generation within the framework of the standard electroweak model is concerned, one must differentiate between the mass generation for the electroweak bosons W, Z, the mass generation for the heavy t quark, and the generation of mass for the leptons and the five remaining, relatively light quarks. While there exists no freedom in the choice of the interaction strengths of the weak bosons with the scalar field, which is dictated Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-09-16

Source:

http://arxiv.org/pdf/hep-ph/0008252v2.pdf

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Document Type:

text

Language:

en

DDC:

530 Physics *(computed)*

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Title:

Calculation of the Higgs boson mass using the complementarity principle

Description:

We compute the Higgs mass in a model for the electroweak interactions based on a confining theory. This model is related to the standard model by the complementarity principle. A dynamical effect due to the large typical scale of the Higgs boson shifts its mass above that of the W-bosons. We obtain mH = 129.6 GeV. 1 supported by the Deutsche For...

We compute the Higgs mass in a model for the electroweak interactions based on a confining theory. This model is related to the standard model by the complementarity principle. A dynamical effect due to the large typical scale of the Higgs boson shifts its mass above that of the W-bosons. We obtain mH = 129.6 GeV. 1 supported by the Deutsche Forschungsgemeinschaft, DFG-No. FR 412/27-1 Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-09-17

Source:

http://arxiv.org/pdf/hep-ph/0107085v1.pdf

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Document Type:

text

Language:

en

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