Campos escalares não-comutativos em cenários inflacionários.

Abstract

This work investigates the influence of spacetime non-commutativity on the thermodynamics of a relativistic bosonic gas and its implications for the evolution of the primordial universe. By reformulating the partition function and the equation of state, we analyze how the non-commutative parameter θ modifies thermodynamic properties such as energy density and pressure, and affects the cosmic dynamics during the inflationary phase. The research develops the structure of scalar fields in non-commutative spaces, derives the modifications to the Friedmann equations, and discusses the resulting cosmic inflation. The analyses reveal that non-commutativity acts as a natural mechanism for transitions between cosmological regimes dominated by radiation, intermediate states, and dark energy. The graphical results confirm that variations in the parameters θ and β regulate the evolution of the state parameter ω, modeling key transitions in the early universe. These findings support the hypothesis that non-commutative geometry plays a significant role in describing inflation and the formation of initial cosmic structures.