Generalized Fibonacci numbers, cosmological analogies, and an invariant
General Relativity and Quantum Cosmology
2021-01-28 v1 Mathematical Physics
math.MP
Abstract
Continuous generalizations of the Fibonacci sequence satisfy ODEs that are formal analogues of the Friedmann equation describing 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
Cite
@article{arxiv.2101.11124,
title = {Generalized Fibonacci numbers, cosmological analogies, and an invariant},
author = {Valerio Faraoni and Farah Atieh},
journal= {arXiv preprint arXiv:2101.11124},
year = {2021}
}
Comments
5 pages, no figures. Invited paper to appear in Symmetry and Geometry in Physics, special issue of Symmetry edited by A. Ungar