Is Noncommutative Eternal Inflation Possible?

TL;DR

This paper explores how noncommutative spacetime affects the likelihood of eternal inflation, concluding that noncommutativity significantly suppresses eternal inflation and influences initial conditions.

Contribution

It provides a theoretical analysis showing that noncommutative spacetime greatly reduces the possibility of eternal inflation occurring.

Findings

Eternal inflation is highly suppressed in noncommutative spacetime.

If eternal inflation cannot occur in the low-energy (UV) region, it is unlikely to happen at all.

Noncommutativity influences the initial conditions necessary for eternal inflation.

Abstract

We investigate the condition for eternal inflation to take place in the noncommutative spacetime. We find that the possibility for eternal inflation's happening is greatly suppressed in this case. If eternal inflation cannot happen in the low energy region where the noncommutativity is very weak (the UV region), it will never happen during the whole inflationary history. Based on these conclusions, we argue that an initial condition for eternal inflation is available from the property of spacetime noncommutativity.