Bajardi, Francesco (2021) The Topological Invariant Approach: From Cosmology to Complex Biological Systems. [Tesi di dottorato]
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| Item Type: | Tesi di dottorato | ||||||
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| Lingua: | English | ||||||
| Title: | The Topological Invariant Approach: From Cosmology to Complex Biological Systems | ||||||
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| Date: | May 2021 | ||||||
| Number of Pages: | 257 | ||||||
| Institution: | Università degli Studi di Napoli Federico II | ||||||
| Department: | Fisica | ||||||
| Dottorato: | Fisica | ||||||
| Ciclo di dottorato: | 33 | ||||||
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| Date: | May 2021 | ||||||
| Number of Pages: | 257 | ||||||
| Uncontrolled Keywords: | Topological Invariants; Modified Theories of Gravity; Complex Systems | ||||||
| Settori scientifico-disciplinari del MIUR: | Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Area 02 - Scienze fisiche > FIS/05 - Astronomia e astrofisica Area 02 - Scienze fisiche > FIS/07 - Fisica applicata (a beni culturali, ambientali, biologia e medicina) |
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| Date Deposited: | 21 May 2021 06:54 | ||||||
| Last Modified: | 07 Jun 2023 10:37 | ||||||
| URI: | http://www.fedoa.unina.it/id/eprint/13835 |
Abstract
This thesis addresses applications of topological invariants in the context of gravity, electromagnetism and complex systems. Specifically, in Chapters 3-8, different theories of gravity involving the Gauss–Bonnet term are discussed, as well as f(G) gravity, scalar-tensor theories and non-local theories. In all cases, after selecting viable models by symmetry considerations, field equation solutions are provided in cosmological and spherically symmetric backgrounds. In Chapter 9, basic foundations of Chern-Simons theory are reviewed, as in Chapters 10-13 the theory is then applied to the gravitational interaction, electromagnetism and complex biological systems. This latter application mainly aims to predict the effect of the induced mutations occurring in DNA/RNA sequences.
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