Fyzika z teorie pravděpodobnosti

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Physics from Probability Theory

Popis výsledku v původním jazyce

Following basic ideas of information physics, probability theory features as the inner symmetries of physical laws. Consequently, we conjecture that many fundamental physical facts are already hidden in the unique logical structure of probability theoryand need not be postulated. A link with statistical thermodynamics emerges via the exponential (MaxEnt) mapping between probability and entropy, whose scaling symmetry also makes a natural bridge to fractal physics and projective geometries. To facilitate links with many other symmetries and physical areas, the exponential mapping between Lie groups and Lie algebras is suggested as a generalization of the MaxEnt relationship. We point out that the natural space of probability theory is an intrinsically6-dimensional manifold with two fundamental governing equations imposed, which gives a novel straightforward rationale for the emergence of the 4+6=10-dimensional hyperspace, particularly important in modern particle physics.

Název v anglickém jazyce

Physics from Probability Theory

Popis výsledku anglicky

Following basic ideas of information physics, probability theory features as the inner symmetries of physical laws. Consequently, we conjecture that many fundamental physical facts are already hidden in the unique logical structure of probability theoryand need not be postulated. A link with statistical thermodynamics emerges via the exponential (MaxEnt) mapping between probability and entropy, whose scaling symmetry also makes a natural bridge to fractal physics and projective geometries. To facilitate links with many other symmetries and physical areas, the exponential mapping between Lie groups and Lie algebras is suggested as a generalization of the MaxEnt relationship. We point out that the natural space of probability theory is an intrinsically6-dimensional manifold with two fundamental governing equations imposed, which gives a novel straightforward rationale for the emergence of the 4+6=10-dimensional hyperspace, particularly important in modern particle physics.

Druh

D - Stať ve sborníku

CEP obor

BD - Teorie informace

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2007

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of the Conference - New Trends in Physics 2007

ISBN

978-80-7355-078-3

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

161-166

Název nakladatele

Brno University of Technology

Místo vydání

Brno

Místo konání akce

Brno

Datum konání akce

15. 11. 2007

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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