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New mathematics for the non additive Tsallis' scenario
(World Scientific, 2017-04)
In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive In this paper, we investigate quantum uncertainties in a Tsallis’ nonadditive scenario. To such an end we appeal to q-exponentials (qEs), that ...
Dimensionally regularized Tsallis' Statistical Mechanics and two-body Newton's gravitatio
(Elsevier Science, 2018-05)
Typical Tsallis’ statistical mechanics’ quantifiers like the partition function and the mean energy exhibit poles. We are speaking of the partition function Z and the mean energy 〈U〉. The poles appear for distinctive values ...
Verlinde’s emergent gravity in an n -dimensional, non-additive Tsallis’ scenario
(Elsevier Science, 2018-09)
This paper brings together four distinct but very important physical notions: Entropic force, Entropy-along-a-curve, Tsallis? q-statistics, and Emergent gravitation. We investigate the non additive, classical (Tsallis?) ...
Relativistic treatment of Verlinde's emergent force in Tsallis' statistics
(World Scientific, 2019-01)
Following Chakrabarti, et al. [R. Chakrabarti, R. Chandrashekar and S. S. Naina Mohammed, Physica A 389, 1571 (2010)], we attempt a classical relativistic treatment of Verlinde’s emergent entropic force conjecture by ...
Tsallis' deformation parameter q quantifies the classical-quantum transition
(Elsevier Science, 2009-05)
We investigate the classical limit of a type of semiclassical evolution, the pertinent system representing the interaction between matter and a given field. On using Tsallis q-entropy as a quantifier of the ensuing dynamics, ...
Rescuing the MaxEnt treatment for q-generalized entropies
(Elsevier Science, 2018-02)
It has been recently argued that the MaxEnt variational problem would not adequately work for Renyi's and Tsallis’ entropies. We constructively show here that this is not so if one formulates the associated variational ...
An statistical analysis of stratification and inequity in the income distribution
(Springer Heidelberg, 2011-03-16)
The analysis of the USA 2001 income distribution shows that it can be described by at least two main components, which obey the generalized Tsallis statistics with different values of the q parameter. Theoretical calculations ...
The Tsallis Entropy as a Social Entropy
(Institute of Electrical and Electronics EngineersPE, 2019-11-21)
We analyze social disorder using the Tsallis entropy that is characterized by having the pseudo-additivity property and being this used to feature certain dynamical systems in nature. By taking advantage of this property, ...
Quantum statistical treatment of Verlinde's conjecture in a Tsallis framework
(Elsevier Science, 2019-03-01)
Verlinde has recently conjectured, via a Beckenstein-like thought experiment, that gravitation, instead of being an elementary force, is an emergent entropic one. This rather surprising conjecture was actually proved in ...
On the entropic derivation of the r−2 Newtonian gravity force
(Elsevier Science, 2018-09)
Following Verlinde's conjecture, we show that Tsallis’ classical free particle distribution at temperature T can generate Newton's gravitational force's r−2 distance's dependence. If we want to repeat the concomitant ...