Topological evolution and inverse problems.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68081731%3A_____%2F03%3A12030068" target="_blank" >RIV/68081731:_____/03:12030068 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Topological evolution and inverse problems.

Original language description

Topology is manifest in Inverse Problems, Electromagnetic Theory and many other fields. Cartan's exterior calculus of differential forms, Lie groups and Exponential Family are central tools for investigating phenomena where some topological changes takeplace. A fundamental law of topological evolution is equivalent to the First Law of Statistical Thermodynamics, involving a topological interpretation of heat. We link Bayes' Theorem with Triality, D4-group, and Octonions. We propose that the inner symmetries of Probability Theory itself correspond to an exceptional A-D-E sequence of Lie groups, with vital implications for fundamental physical laws.

Czech name

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Czech description

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Type

C - Chapter in a specialist book

CEP classification

BD - Information theory

OECD FORD branch

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Project

<a href="/en/project/ME%20526" target="_blank" >ME 526: Information Physics as a Unifying Rationale for Physical Theories and Complex Systems</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2003

Confidentiality

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

Book/collection name

Optimization and Inverse Problems in Electromagnetism.

ISBN

1-4020-1506-2

Number of pages of the result

1

Pages from-to

"X1"-"X5"

Number of pages of the book

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Publisher name

Kluwer Academic Publishers

Place of publication

Dordrecht

UT code for WoS chapter

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