Matches in SemOpenAlex for { <https://semopenalex.org/work/W1972936332> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W1972936332 abstract "Background and Objectives: The objective of this work is to illustrate concepts and applications of nilpotent structures in physics. To that end, we will use two examples, both of which have attracted considerable attention recently: the generalized uncertainty principle, in its various forms, and the Tsallis entropy. The former has been motivated and extensively used in string theory and black hole physics during the last two decades. There are almost 4000 papers written on the latter during the last 20 years, reflecting a considerable interest in Tsallis entropy as an alternative to the Boltzmann-Gibbs-Shannon (BGS) entropic form. The Tsallis entropy has been having a considerable impact in re-examining the foundations of statistical mechanics for both equilibrium and non-equilibrium processes. Nilpotent structures have a long presence in various branches of mathematics, especially in group theory and geometry with the works of Malcev and Gromov standing out as particularly pertinent for our purposes. We also consider the sub-Riemannian aspects of nilpotent structures which have applications in a variety of fields ranging from examining how a cat falls to analyzing human vision. Results: Both the generalized uncertainty principles and the Tsallis entropy indicate that the dynamical structure of spacetime and the statistical methods used to quantize it may benefit considerably if one uses general nilpotent structures instead of the two-stage Heisenberg model or the abelian group of the BGS entropy. Conclusions: Nilpotent structures are flexible enough to generalize aspects of quantum theory and statistical mechanics. At the same time, they are understood well enough to allow us to obtain results of potential physical significance. Hence they are worth taking a look at and exploring their consequences. Notes: Partial results have already been published by the author recently and have appeared in the arXiv.org repository and are being presented at various international conferences. Parts of this work were done in collaboration with A. J. Creaco of the City University of New York." @default.
- W1972936332 created "2016-06-24" @default.
- W1972936332 creator A5079754605 @default.
- W1972936332 date "2012-01-01" @default.
- W1972936332 modified "2023-09-26" @default.
- W1972936332 title "Nilpotence in physics: Generalized uncertainty principles and Tsallis entropy" @default.
- W1972936332 doi "https://doi.org/10.5339/qfarf.2012.eep19" @default.
- W1972936332 hasPublicationYear "2012" @default.
- W1972936332 type Work @default.
- W1972936332 sameAs 1972936332 @default.
- W1972936332 citedByCount "0" @default.
- W1972936332 crossrefType "proceedings-article" @default.
- W1972936332 hasAuthorship W1972936332A5079754605 @default.
- W1972936332 hasConcept C106301342 @default.
- W1972936332 hasConcept C117521176 @default.
- W1972936332 hasConcept C121332964 @default.
- W1972936332 hasConcept C121864883 @default.
- W1972936332 hasConcept C165995430 @default.
- W1972936332 hasConcept C202444582 @default.
- W1972936332 hasConcept C33332235 @default.
- W1972936332 hasConcept C33923547 @default.
- W1972936332 hasConcept C33932047 @default.
- W1972936332 hasConcept C50555996 @default.
- W1972936332 hasConcept C62520636 @default.
- W1972936332 hasConcept C99874945 @default.
- W1972936332 hasConceptScore W1972936332C106301342 @default.
- W1972936332 hasConceptScore W1972936332C117521176 @default.
- W1972936332 hasConceptScore W1972936332C121332964 @default.
- W1972936332 hasConceptScore W1972936332C121864883 @default.
- W1972936332 hasConceptScore W1972936332C165995430 @default.
- W1972936332 hasConceptScore W1972936332C202444582 @default.
- W1972936332 hasConceptScore W1972936332C33332235 @default.
- W1972936332 hasConceptScore W1972936332C33923547 @default.
- W1972936332 hasConceptScore W1972936332C33932047 @default.
- W1972936332 hasConceptScore W1972936332C50555996 @default.
- W1972936332 hasConceptScore W1972936332C62520636 @default.
- W1972936332 hasConceptScore W1972936332C99874945 @default.
- W1972936332 hasLocation W19729363321 @default.
- W1972936332 hasOpenAccess W1972936332 @default.
- W1972936332 hasPrimaryLocation W19729363321 @default.
- W1972936332 hasRelatedWork W110362655 @default.
- W1972936332 hasRelatedWork W1512482272 @default.
- W1972936332 hasRelatedWork W1578577481 @default.
- W1972936332 hasRelatedWork W1603393921 @default.
- W1972936332 hasRelatedWork W1969150253 @default.
- W1972936332 hasRelatedWork W1987336812 @default.
- W1972936332 hasRelatedWork W2003401764 @default.
- W1972936332 hasRelatedWork W2044496234 @default.
- W1972936332 hasRelatedWork W2044972720 @default.
- W1972936332 hasRelatedWork W2272336946 @default.
- W1972936332 hasRelatedWork W2315002105 @default.
- W1972936332 hasRelatedWork W2402365962 @default.
- W1972936332 hasRelatedWork W2484099839 @default.
- W1972936332 hasRelatedWork W2950748844 @default.
- W1972936332 hasRelatedWork W2963439318 @default.
- W1972936332 hasRelatedWork W2992952386 @default.
- W1972936332 hasRelatedWork W3042435537 @default.
- W1972936332 hasRelatedWork W3105721502 @default.
- W1972936332 hasRelatedWork W3105839827 @default.
- W1972936332 hasRelatedWork W348343822 @default.
- W1972936332 isParatext "false" @default.
- W1972936332 isRetracted "false" @default.
- W1972936332 magId "1972936332" @default.
- W1972936332 workType "article" @default.