Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

We construct classes of stochastic differential equations with fluctuating friction forces that
generate a dynamics correctly described by Tsallis statistics. These systems generalize the …

Empirically derived kappa distributions are becoming increasingly widespread in space
physics as the power law nature of various suprathermal tails is melded with more classical …

The generalized uncertainty principle (GUP) is a phenomenological model whose purpose
is to account for a minimal length scale (eg, Planck scale or characteristic inverse-mass …

Non-extensive Tsallis thermostatistics is a widespread paradigm to describe large-scale
gravitational systems. In this work we use Tsallis Cosmology to study thermodynamic gravity …

The effect of the generalized uncertainty principle (GUP) on nonextensive thermodynamics
applied to black holes, as well as the sparsity of the radiation at different temperatures …

ABSTRACT Recent advances in Space Physics theory have shown the connection between
non-extensive Statistical Mechanics and space plasmas by providing a theoretical basis for …

It has been argued that non-Gaussian statistics provide a natural framework to investigate
semiclassical effects in the context of Planck-scale deformations of the Heisenberg …

It was shown that the particle distribution detected by a uniformly accelerated observer in the
inertial vacuum (Unruh effect) deviates from the pure Planckian spectrum when considering …

We study coherent states associated with a generalized uncertainty principle (GUP). We
separately analyze the cases of positive and negative deformation parameter β, showing …