Non-commutativity in modified loop cosmology
Year: 2025
Type: article
Abstract: In this study, we explore the pre-inflationary dynamics of the universe using a non-commutative extension of the mLQC-I framework. By incorporating a scalar field potential, we show that key features of Loop Quantum Cosmology (LQC), such as the quantum bounce and the super-inflationary phase, are preserved. Numerical solutions to the modified Hamiltonian equations, with initial conditions set at the quantum bounce, reveal that the universe’s early expansion rate is sensitive to the shape of the potential. For a chaotic potential, the inclusion of non-commutativity results in a faster expansion rate, whereas for the Starobinsky potential, the expansion rate decreases with increasing non-commutative parameter $$\theta $$ θ . Additionally, higher values of $$\theta $$ θ lead to an increased time derivative of the Hubble parameter, causing a shorter yet more expansive super-inflationary phase. Over time, Hubble parameters for different values of $$\theta $$ θ converge. For the Starobinsky potential, the Hubble parameter consistently decreases with larger $$\theta $$ θ , resulting in a prolonged super-inflationary stage. The study also addresses the validation of the Hamiltonian constraint during the evolutionary time.
Source: The European Physical Journal C
Author: Abolhassan Mohammadi
Institution: Zhejiang University of Technology
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408037310