Zobrazeno 1 - 10
of 154
pro vyhledávání: '"Pachol, A."'
Autor:
Pachoł, A.
Modifications in quantum mechanical phase space lead to changes in the Heisenberg uncertainty principle, which can result in the Generalized Uncertainty Principle (GUP) or the Extended Uncertainty Principle (EUP), introducing quantum gravitational ef
Externí odkaz:
http://arxiv.org/abs/2409.05110
Autor:
Lukierski, Jerzy, Pachoł, Anna
Publikováno v:
PoS(CORFU2023)247
Recently it was shown that by using two different realizations of $\hat{o}(1,4)$ Lie algebra one can describe one-parameter standard Snyder model and two-parameter $\kappa$-deformed Snyder model. In this paper, by using the generalized Born duality a
Externí odkaz:
http://arxiv.org/abs/2405.16497
Publikováno v:
Physics Letters B, 138729 (2024)
We propose the doubly $\kappa$-dependent Yang quantum phase space which describes the generalization of $D = 4$ Yang model. We postulate that such model is covariant under the generalized Born map, what permits to derive this new model from the earli
Externí odkaz:
http://arxiv.org/abs/2311.16994
This study investigates possibility of placing bounds on the parameters, arising from the non-commutative Snyder space-time model and Generalized Uncertainty Principle (GUP) approach, by utilizing seismic data. We investigate the dependence of constr
Externí odkaz:
http://arxiv.org/abs/2310.00913
Autor:
Lukierski, Jerzy, Pachoł, Anna
Publikováno v:
PoS(CORFU2022)327
We introduce the perturbative $\hbar$-power series ($\hbar$ = Planck constant) providing the algebraic solutions of $D=4$ quantum Snyder and Yang models which describe relativistic quantum space-times and Lorentz-covariant quantum phase spaces. We ar
Externí odkaz:
http://arxiv.org/abs/2307.12379
Autor:
Pachoł, Anna, Wojnar, Aneta
Publikováno v:
Eur. Phys. J. C 83, 1097 (2023)
We investigate the application of an equation of state that incorporates corrections derived from the Snyder model (and the Generalized Uncertainty Principle) to describe the behavior of matter in a low-mass star. Remarkably, the resulting equations
Externí odkaz:
http://arxiv.org/abs/2307.03520
Autor:
Pachoł, Anna, Wojnar, Aneta
Publikováno v:
2023 Class. Quantum Grav. 40 195021
We investigate the impact of the deformed phase space associated with the quantum Snyder space on microphysical systems. The general Fermi-Dirac equation of state and specific corrections to it are derived. We put emphasis on non-relativistic degener
Externí odkaz:
http://arxiv.org/abs/2304.08215
Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking
We propose $\hbar$-expansions as perturbative solutions of quantum extended Snyder and Yang models, with $\hbar$-independent classical zero-th order terms responsible for the spontaneous breaking of $D=4$ and $D=5$ de Sitter symmetries. In such model
Externí odkaz:
http://arxiv.org/abs/2212.02316
Publikováno v:
Physics Letters B, Volume 838, 137709, 2023
We describe, in an algebraic way, the $\kappa$-deformed extended Snyder models, that depend on three parameters $\beta, \kappa$ and $\lambda$, which in a suitable algebra basis are described by the de Sitter algebras ${o}(1,N)$. The commutation relat
Externí odkaz:
http://arxiv.org/abs/2208.06712
Autor:
Meljanac, Stjepan, Pachoł, Anna
Publikováno v:
Symmetry 2021, 13(6), 1055
A Snyder model generated by the noncommutative coordinates and Lorentz generators close a Lie algebra. The application of the Heisenberg double construction is investigated for the Snyder coordinates and momenta generators. It leads to the phase spac
Externí odkaz:
http://arxiv.org/abs/2101.02512