Asymptotically equivalent functions and ultrafilters applied to noncommutative quantum cosmology

Authors

  • J.A. Astorga-Moreno Centro Universitaroio de la Ciénega de la Universidad de Guadalajara http://orcid.org/0000-0002-8025-2763
  • E.A. Mena Barboza Centro Universitario de la Cienega, Universidad de Guadalajara, Av. Universidad 1115, Modulo de Investigacion y Tutorias, 47820 Ocotlan, Jalisco, Mexico.
  • and M.A. García-Aspeitia Consejo Nacional de Ciencia y Tecnologia, Av. Insurgentes Sur 1582. Colonia Credito Constructor, Del. Benito Juarez 03940, Ciudad de Mexico.

DOI:

https://doi.org/10.31349/RevMexFis.65.519

Keywords:

Noncommutative, deformed phase space, equivalent functions, ultrafilter.

Abstract

Using the semi-classical approximation to the Wheeler-DeWitt equation obtained via Arnowitt-Deser-Misner (ADM) formalism in the Friedmann-Lemaitre-Robertson-Walker (FLRW) model coupled to a scalar eld and positive cosmological constant, and in the Kantowski-Sachs (KS) Universe, we introduced a deformation on the commutation relation for the minisuperspace variables and find an explicit semiclassical expression equivalent, in an adequate limit, to the solution with the aid of asymptotically equal functions and the theory of Ultralters, oering a suggestive alternative to sketch the behavior of the dynamical system involved without the need to solve it numerically.

Author Biography

J.A. Astorga-Moreno, Centro Universitaroio de la Ciénega de la Universidad de Guadalajara

Departamento de Ciencias Básicas, Profesor-Invstigador

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Published

2019-09-02

How to Cite

[1]
J. Astorga-Moreno, E. Mena Barboza, and and M. García-Aspeitia, “Asymptotically equivalent functions and ultrafilters applied to noncommutative quantum cosmology”, Rev. Mex. Fís., vol. 65, no. 5 Sept-Oct, pp. 519–528, Sep. 2019.

Issue

Vol. 65 No. 5 Sept-Oct (2019): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.