9 citations · 25 across the 14 of their papers we have counts for
16 papers
Quantization in Cartesian coordinates and the Hofer metric
Nikolaos Kalogeropoulos, Christos Kokorelis
P.A.M. Dirac had stated that the Cartesian coordinates are uniquely suited for expressing the canonical commutation relations in a simple form. By contrast, expressing these commut…
Riemannian submersions for q-entropies
Nikolaos Kalogeropoulos
In an attempt to find the dynamical foundations for -entropies, we examine the special case of Lagrangian/Hamiltonian systems of many degrees of freedom whose statistical behavi…
Coarse-graining and symplectic non-squeezing
Nikolaos Kalogeropoulos
We address aspects of coarse-graining in classical Statistical Physics from the viewpoint of the symplectic non-squeezing theorem. We make some comments regarding the implications…
Non-linear Fokker-Planck equations from conformal metrics and scalar curvature
Nikolaos Kalogeropoulos
We present an argument which intends to explore a potential geometric origin of a class of non-linear Fokker-Planck equations related to the mesoscopic behavior of systems conjectu…
Toward a relative q-entropy
Nikolaos Kalogeropoulos
We address the question and related controversy of the formulation of the -entropy, and its relative entropy counterpart, for models described by continuous (non-discrete) sets…
Power-law entropies for continuous systems and generalized operations
Anthony J. Creaco, Nikolaos Kalogeropoulos
We present our view in a standing debate about the definition and meaning of power-law entropies for continuous systems. Our suggestion is that such arguments should take into acco…
Irreversibility from staircases in symplectic embeddings
Anthony J. Creaco, Nikolaos Kalogeropoulos
We present an argument whose goal is to trace the origin of the macroscopically irreversible behavior of Hamitonian systems of many degrees of freedom. We use recent flexibility an…
Embolic aspects of black hole entropy
Nikolaos Kalogeropoulos
We attempt to provide a mesoscopic treatment of the origin of black hole entropy in (3+1)-dimensional spacetimes. We treat the case of horizons having space-like sections which…
Systolic aspects of black hole entropy
Nikolaos Kalogeropoulos
We attempt to provide a mesoscopic treatment of the origin of black hole entropy in (3+1)-dimensional spacetimes. We ascribe this entropy to the non-trivial topology of the space-l…
Time irreversibility from symplectic non-squeezing
Nikolaos Kalogeropoulos
The issue of how time reversible microscopic dynamics gives rise to macroscopic irreversible processes has been a recurrent issue in Physics since the time of Boltzmann whose ideas…
The -Fourier transform: covariance and uniqueness
Nikolaos Kalogeropoulos
We propose an alternative definition for a Tsallis entropy composition-inspired Fourier transform, which we call "-Fourier transform". We comment about the underlying "covaria…
An entropy for groups of intermediate growth
Nikolaos Kalogeropoulos
One of the few accepted dynamical foundations of non-additive "non-extensive") statistical mechanics is that the choice of the appropriate entropy functional describing a system wi…
The Legendre Transform in Non-additive Thermodynamics and Complexity
Nikolaos Kalogeropoulos
We present an argument which purports to show that the use of the standard Legendre transform in non-additive Statistical Mechanics is not appropriate. For concreteness, we use as…
Convexity and the Euclidean metric of space-time
Nikolaos Kalogeropoulos
We address the question about the reasons why the "Wick-rotated", positive-definite, space-time metric obeys the Pythagorean theorem. An answer is proposed based on the convexity a…
Geometry of the Frenkel-Kac-Segal cocycle
Nikolaos Kalogeropoulos
We present an analysis of the cocycle appearing in the vertex operator representation of simply-laced, affine, Kac-Moody algebras. We prove that it can be described in the context…
Comments on the Gribov Ambiguity
Nikolaos Kalogeropoulos
We discuss the existence of Gribov ambiguities in gauge theories over the spheres. We achieve our goal by showing that there is exactly one conjugacy class o…