Aspectos gerais de gravitação entrópica e eletromagnetismo em espaços-tempo não-comutativos

Abstract

This work is mainly the result of dedication to two lines of research existing today: the understanding of the spatio-temporal phenomenon, described by general relativity, as a thermodynamic phenomenon known as entropic gravitation and the noncommutativity of space-time in the spatial ccordinates. In this way, the physical consequences of electromagnetic theories immersed in a non-commutative space-time were explored via the Faddeev-Jackiw method [1]. In addition, new thermodynamic proposals via Tsallis and Kaniadakis statistics were applied in cosmology and modified Newtonian theory (MOND) [2, 3], where new results were obtained. Kaniadakis statistics was also applied in [4] to obtain a new correction of the Immirzi parameter in Loop Quantum Gravity (LQG). All of these works are presented in this thesis, in addition to the theoretical bases on which these theoretical researches were based. Chapter 5 also presents a work developed during the PhD that has not yet been published.