Submissions from J. A. F. C. Daz-Azevedo
- [1] faKiv:2404.07507 [pdf]
-
Zeta-like entropy for dynamic nonlinear systems in 4DComments: 15 pages, 3 figures
We study Zeta-like entropy for the dynamic nonlinear scalar and gravity systems in four dimensions. We begin by reviewing the significance of the Zeta-like entropy (ZNE) for dynamic nonlinear systems in four dimensions. We then discuss the quantum entanglement entropy (QE) and the experimental measure of the ZNE. The study of the ZNE is then extended to nonlinear systems in four dimensions. We discuss the ZNE in the context of a two-parameterized nonlinear model for the simple scalar and gravity sector. The model is chosen to be a first choice for a fourth-order nonlinear scalar field theory and a second choice for a fourth-order nonlinear scalar field theory. The results in the two-parameter model are qualitatively the same as those in the first case.
- [2] faKiv:2404.08606 [pdf]
-
$2$-dimensional Perturbative GUP equationsComments: 8 pages, 4 figures, version to appear in PRD
In this work we consider the perturbative equation of the GUP equations for the two-dimensional perturbative Perturbative Unruh-DeWitt particle with two spinor fields in a one-parameter space. We assume that the spinors are two-dimensional and construct the perturbative equation for the GUP equations at smaller than the second order in the second-order parameters. The perturbative equation for the GUP equations is solved numerically and we obtain the equation of state. The solutions of this equation are given by the Lie group of the Perturbative GUP equations.