2012
DOI: 10.1016/j.physa.2012.04.022
|View full text |Cite
|
Sign up to set email alerts
|

Fundamental constants, entropic gravity and nonextensive equipartition theorem

Abstract: By using the Verlinde's formalism, we propose that the positive numerical factor, in which Klinkhamer states that it is necessary to define the fundamental length, can be associated to the parameter q of the Tsallis' nonextensive statistical mechanics.

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

1
19
0

Year Published

2013
2013
2019
2019

Publication Types

Select...
7

Relationship

5
2

Authors

Journals

citations
Cited by 18 publications
(20 citation statements)
references
References 40 publications
1
19
0
Order By: Relevance
“…Moreover, assuming the holographic principle together with the equipartition law of energy, the Newton law of gravitation could be derived. The connection between nonextensive statistical theory and the entropic gravity models [13,14] make us to realize an arguably bridge between nonextensivity and gravity theories. More specifically, theories which consider accelerated models with DE approaches.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, assuming the holographic principle together with the equipartition law of energy, the Newton law of gravitation could be derived. The connection between nonextensive statistical theory and the entropic gravity models [13,14] make us to realize an arguably bridge between nonextensivity and gravity theories. More specifically, theories which consider accelerated models with DE approaches.…”
Section: Introductionmentioning
confidence: 99%
“…The objective of this section is to provide the reader with the main tools that will be used in the following sections. Although both formalisms are well known in the literature, these brief reviews can emphasize precisely that there is a connection between both ideas which was established recently [20].…”
Section: Nonextensive Statistics and Holographic Entropymentioning
confidence: 99%
“…and for q = 1 we have that l 2 p = l 2 (more details in [31]). From (3.12) we see that the fundamental length depends on the q-parameter, i.e., the nonextensive parameter.…”
Section: The Tsallis Statistical Theorymentioning
confidence: 99%