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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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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.

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

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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

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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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Title:

Softening the Naturalness Problem

Description:

It was observed by Veltman a long time ago that a special value for the Higgs boson mass could lead to a cancellation of the quadratically divergent corrections to the Higgs boson’s squared mass which appear at one loop. We present a class of low energy models that allow to soften the naturalness problem in the sense that there can be a cancella...

It was observed by Veltman a long time ago that a special value for the Higgs boson mass could lead to a cancellation of the quadratically divergent corrections to the Higgs boson’s squared mass which appear at one loop. We present a class of low energy models that allow to soften the naturalness problem in the sense that there can be a cancellation of radiative corrections appearing at one loop. The naturalness problem is shifted from the one TeV region to the 10 TeV region. Depending on the specific model under consideration, this scale can even be shifted to a higher energy scale. Signatures of these models are discussed. 1 Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-09-17

Source:

http://arxiv.org/pdf/hep-ph/0302056v2.pdf

http://arxiv.org/pdf/hep-ph/0302056v2.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

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-01-30

Source:

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

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

Document Type:

text

Language:

en

DDC:

539 Modern physics *(computed)*

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Title:

What are the Bounds on Space-Time Noncommutativity

Description:

In this article we consider the bounds on the noncommutative nature of spacetime. We argue that these bounds are extremely model dependent. In the only phenomenologically viable framework, i.e. when the fields are taken to be in the enveloping of the Lie algebra, the constraints are fairly loose and only of the order of a few TeV. 1

In this article we consider the bounds on the noncommutative nature of spacetime. We argue that these bounds are extremely model dependent. In the only phenomenologically viable framework, i.e. when the fields are taken to be in the enveloping of the Lie algebra, the constraints are fairly loose and only of the order of a few TeV. 1 Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-09-17

Source:

http://arxiv.org/pdf/hep-ph/0401097v1.pdf

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text

Language:

en

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Title:

Bound on four-dimensional Planck mass

Description:

In this note we derive a bound using data from cosmic rays physics on a model recently proposed to solve the hierarchy problem by lowering the Planck scale to the TeV region without the introduction of extra-dimensions. We show that the non observation of small black holes by AGASA implies a model independent limit for the four-dimensional reduc...

In this note we derive a bound using data from cosmic rays physics on a model recently proposed to solve the hierarchy problem by lowering the Planck scale to the TeV region without the introduction of extra-dimensions. We show that the non observation of small black holes by AGASA implies a model independent limit for the four-dimensional reduced Planck mass of roughly 488 GeV. Chargé de recherches du F.R.S.-FNRS Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-08-04

Source:

http://arxiv.org/pdf/0806.4304v1.pdf

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text

Language:

en

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Title:

Radiative Lepton Decays and the Substructure of Leptons

Description:

The leptons are viewed as composite objects, exhibiting anomalous magnetic moments and anomalous flavor-changing transition moments. The decay µ → eγ is expected to occur with a branching ratio of the same order as the present experimental limit. The first order QED radiative correction is considered. to appear in the proceedings of the Internat...

The leptons are viewed as composite objects, exhibiting anomalous magnetic moments and anomalous flavor-changing transition moments. The decay µ → eγ is expected to occur with a branching ratio of the same order as the present experimental limit. The first order QED radiative correction is considered. to appear in the proceedings of the International Europhysics Conference on High Energy Physics, July 12-18 2001, Budapest. Recently an indication was found that the anomalous magnetic moment of the muon µ + is slightly larger than expected within the standard model [1]. The deviation is of the order of 10 −9: ∆aµ = aµ(exp) − aµ(SM) = (4.3 ± 1.6) × 10 −9. (1) For a review of the contribution of the standard model to the anomalous magnetic moment of the muon see Ref. [2]. The observed effect (2.6 σ excess) does not necessarily imply a conflict with the standard model, in view of the systematic uncertainties in the theoretical calculations due to the hadronic corrections. If this result is confirmed by further experimental data and theoretical work, it might be interpreted as the first signal towards an internal structure of the leptons [3], although other interpretations (vertex corrections due to new particles or non-minimal couplings due to a more complex space-time structure [4]) are also possible. A new contribution to the magnetic moment of the muon can be described by adding an effective term L eff to the Lagrangian of the standard model as follows: L eff = e 2Λ ¯µ (A + Bγ5) σµνµF µν Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-09-17

Source:

http://arxiv.org/pdf/hep-ph/0108079v1.pdf

http://arxiv.org/pdf/hep-ph/0108079v1.pdf Minimize

Document Type:

text

Language:

en

DDC:

539 Modern physics *(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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