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Ricardo Paszko

Publications and source records attributed to Ricardo Paszko.

3 recordsLinked to original sources
arXiv2026

A Simple Model for Quantum Gravity I: the one-dimensional case

We propose and analytically solve a simple Euclidean model for quantum gravity in one dimension. The geometry is parametrized by angles associated with a circle of fixed radius $\ell$, allowing the use of the normalized Haar measure of U(1) and character expansions. In the case of an open curve, the continuum limit is trivial: the size of the universe is infinite, independently of the value of the cosmological constant. In the closed case, however, the continuum limit is nontrivial, resulting in a finite-size universe for positive cosmological constant. The presence of a scalar field slightly modifies this result while preserving its behavior. We also discuss possible generalizations of the model to higher dimensions.

gr-qc↗
arXiv2008

Semiclassical and Effective Theories of Gravitation

First and second order corrections for the scattering of different types of particles by a weak gravitational field, treated as an external field, are calculated. These computations indicate a violation of the Equivalence Principle: to first order, the cross-sections are spin dependent; if the calculations are pushed to the next order, they become dependent upon energy as well. Interesting enough, the aforementioned results are equivalent to those obtained by means of the so-called Effective Theory of Gravitation, in the limit in which one of the masses is much greater than all the other energies involved. We discuss also some applications of our research, such as the determination of an upper bound for the photon mass, and the possible detection, in the foreseeable future, of these violations of the Equivalence Principle.

gr-qc↗