Effection of Inflation based on Noncommutative Geometry

Various prospects of Quantum Gravity suggestions indicate the existence of a minimum observable length or a maximum observable momentum which limits the Heisenberg uncertainty principle, such as String Theory, Non-commutative Geometry, and Loop Quantum Gravity. Our research focuses on the effects of a maximum observable momentum on the inflationary dynamics of the early universe. The non-commutativity of the space-time manifold results in a spectral index that is not scale-invariant, as we demonstrate. By increasing the strength of non-commutativity corrections, it is possible to decrease the amplitude of density fluctuations. However, the tensor-to-scalar ratio decreases when the non-commutativity effect is incorporated.

کلیدواژه ها:

Inflation ، Non-Commutative Geometry ، DGP Model ، Quantum Gravity Effects