Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant

  title={Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant},
  author={Valerio Faraoni and Farah Atieh},
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. 
1 Citations

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