Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant
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 a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/2/200 |
| _version_ | 1797407042731769856 |
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| author | Valerio Faraoni Farah Atieh |
| author_facet | Valerio Faraoni Farah Atieh |
| author_sort | Valerio Faraoni |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T03:35:32Z |
| format | Article |
| id | doaj.art-68b473339363443786ac4b13eace693e |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T03:35:32Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-68b473339363443786ac4b13eace693e2023-12-03T14:49:15ZengMDPI AGSymmetry2073-89942021-01-0113220010.3390/sym13020200Generalized Fibonacci Numbers, Cosmological Analogies, and an InvariantValerio Faraoni0Farah Atieh1Department of Physics & Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, QC J1M 1Z7, CanadaDepartment of Physics & Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, QC J1M 1Z7, CanadaContinuous 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.https://www.mdpi.com/2073-8994/13/2/200Fibonacci sequencecosmologyanalogygeneral relativity |
| spellingShingle | Valerio Faraoni Farah Atieh Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant Symmetry Fibonacci sequence cosmology analogy general relativity |
| title | Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant |
| title_full | Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant |
| title_fullStr | Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant |
| title_full_unstemmed | Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant |
| title_short | Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant |
| title_sort | generalized fibonacci numbers cosmological analogies and an invariant |
| topic | Fibonacci sequence cosmology analogy general relativity |
| url | https://www.mdpi.com/2073-8994/13/2/200 |
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