Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant-Reference-Cited by-同舟云学术

Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant

Published:2021-01-26 Issue:2 Volume:13 Page:200
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Faraoni Valerio^ORCID,Atieh Farah

Abstract

Continuous generalizations of the Fibonacci sequence satisfy ODEs that are formal analogues of the Friedmann equation describing a spatially homogeneous and isotropic cosmology in general relativity. These analogies are presented together with their Lagrangian and Hamiltonian formulations and with an invariant of the Fibonacci sequence.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/13/2/200/pdf

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