Gravitational radiation in dynamical noncommutative spaces

TL;DR

This paper explores how dynamical noncommutative spaces affect gravitational radiation and quantum interference, providing bounds on noncommutativity parameters through observational data and theoretical analysis.

Contribution

It introduces corrections to gravitational potential in dynamical noncommutative spaces and compares quantum interference effects with commutative space, offering new insights into noncommutative gravity.

Findings

Upper bound on noncommutativity parameter derived from gravitational wave data

Quantitative comparison of phase differences in quantum interference

Demonstration of noncommutative effects on gravitational radiation

Abstract

We investigate gravitational radiation in dynamical noncommutative spaces. By including corrections to the gravitational potential due to dynamical noncommutativity, we calculate the power in gravitational radiation and use observational data to place an upper bound on the noncommutativity parameter. We also study quantum interference induced by gravitational potential in the usual and dynamical noncommutative spaces, and compare the resulting phase difference in these cases with that in commutative space.