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Symmetry
Volume 13
Issue 2
10.3390/sym13020200
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Article

Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant

by
Valerio Faraoni
* and
Farah Atieh
Department of Physics & Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, QC J1M 1Z7, Canada
*
Author to whom correspondence should be addressed.
Symmetry 2021, 13(2), 200; https://doi.org/10.3390/sym13020200
Submission received: 12 January 2021 / Revised: 25 January 2021 / Accepted: 26 January 2021 / Published: 26 January 2021
(This article belongs to the Special Issue Symmetry and Geometry in Physics)
Versions Notes

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.
Keywords: Fibonacci sequence; cosmology; analogy; general relativity Fibonacci sequence; cosmology; analogy; general relativity

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MDPI and ACS Style

Faraoni, V.; Atieh, F. Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant. Symmetry 2021, 13, 200. https://doi.org/10.3390/sym13020200

AMA Style

Faraoni V, Atieh F. Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant. Symmetry. 2021; 13(2):200. https://doi.org/10.3390/sym13020200

Chicago/Turabian Style

Faraoni, Valerio, and Farah Atieh. 2021. "Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant" Symmetry 13, no. 2: 200. https://doi.org/10.3390/sym13020200

APA Style

Faraoni, V., & Atieh, F. (2021). Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant. Symmetry, 13(2), 200. https://doi.org/10.3390/sym13020200

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