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Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton's gravitation
(Elsevier Science, 2018-08)
It is believed that the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution [Formula presented] cannot be constructed because the integral needed for building up Z ...
Verlinde's conjecture in a Boltzmann-Gibbs relativistic frame
(Elsevier Science, 2019-08-01)
Verlinde’s conjecture (VC) that gravitation is an emerging entropic force has been proved in a classical, non relativistic context in Plastino and Rocca (2018). Here we demonstrate the VC’s validity in a special relativity ...
Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature
(American Physical Society, 2013)
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 ...
A review of the classical canonical ensemble treatment of Newton's gravitation
(Molecular Diversity Preservation International, 2019-07)
It is common lore that the canonical gravitational partition function Z associated with the classical Boltzmann-Gibbs (BG) exponential distribution cannot be built up because of mathematical pitfalls. The integral needed ...