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
Resource language: English
Title: The Topological Invariant Approach: From Cosmology to Complex Biological Systems
Creators:
CreatorsEmail
Bajardi, Francescofrancesco.bajardi@unina.it
Date: May 2021
Number of Pages: 257
Institution: Università degli Studi di Napoli Federico II
Department: Fisica
Dottorato: Fisica
Ciclo di dottorato: 33
Coordinatore del Corso di dottorato:
nomeemail
Capozziello, Salvatorecapozzie@na.infn.it
Tutor:
nomeemail
Altucci, CarloUNSPECIFIED
Capozziello, SalvatoreUNSPECIFIED
Date: May 2021
Number of Pages: 257
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)
Date Deposited: 21 May 2021 06:54
Last Modified: 07 Jun 2023 10:37
URI: http://www.fedoa.unina.it/id/eprint/13835

Collection description

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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