Abstract The Dimensional Regularization (DR) of Bollini and Giambiagi (BG) can not be
defined for all Schwartz Tempered Distributions Explicitly Lorentz Invariant (STDELI) …

In this paper, we will study the large scale structure formation using the gravitational partition
function. We will assertively argue that the system of gravitating galaxies can be analyzed …

This paper is an application to Einstein's gravity (EG) of the mathematics developed in
(Plastino and Rocca 2018 J. Phys. Commun. 2, 115029). We will quantize EG by appeal to …

One major problem of contemporary physics is posed by the incompatibility of the two
greatest theories of the 20th century: quantum mechanics (QM) and general relativity (GR) …

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 …

Non relativistic quantum field theory propagators are indispensable tools in nuclear physics
and condensed matter theory. Here we apply them to gravitation, that is, discuss a non …

This paper is an attempt to study the thermodynamics of the structure formation in the large
scale universe in the non local gravity using Boltzmann statistics and the Tsallis statistics …

We attempt to construct a (two-dimensional) statistical mechanics description of the scenario
in which the experiment in [T. Westphal et al., Nature 591, 225 (2021)] was made. It includes …

Gravitons and axions play an important role with regards to dark matter. Here, by appeal to
developments of Gupta and Feynman and using a novel mathematical theory based on …

Lutsko and Boon have shown via elegant theoretical reasoning (EPL, 95 (2011) 20006), that
Tsallis' thermostatistics is affected by divergence problems. We explicitly verify such fact in …