Metric on a Statistical Space-Time

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dc.creatorCalmet, Jacques
dc.creatorCalmet, Xavier
dc.date2004-03-22
dc.date.accessioned2026-07-07T04:31:02Z
dc.date.available2026-07-07T04:31:02Z
dc.descriptionWe 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.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0403043
dc.identifierhttp://arxiv.org/abs/math-ph/0403043
dc.identifierTransactions on Circuits and Systems, 10(3), pp. 2267-2271, 2004.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57678
dc.subjectMathematical Physics
dc.titleMetric on a Statistical Space-Time
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