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2013 | 11 | 10 | 1212-1220
Tytuł artykułu

On the origin of space

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Within the framework of fractional calculus with variable order the evolution of space in the adiabatic limit is investigated. Based on the Caputo definition of a fractional derivative using the fractional quantum harmonic oscillator a model is presented, which describes space generation as a dynamic process, where the dimension d of space evolves smoothly with time in the range 0 ≤ d(t) ≤ 3, where the lower and upper boundaries of dimension are derived from first principles. It is demonstrated, that a minimum threshold for the space dimension is necessary to establish an interaction with external probe particles. A possible application in cosmology is suggested.
Wydawca
Czasopismo
Rocznik
Tom
11
Numer
10
Strony
1212-1220
Opis fizyczny
Daty
wydano
2013-10-01
online
2013-12-19
Twórcy
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0315-0
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