A claimed new quantum geometric phase induced by low-frequency gravitational waves in an optomechanical mirror is derived, but the derivation contains algebraic inconsistencies that invalidate the predicted detectability.
Gravitational probe of quantum spacetime
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abstract
A quest for phenomenological footprints of quantum gravity is among the central scientific tasks in the rising era of gravitational wave astronomy. We study gravitational wave dynamics within the noncommutative geometry framework, based on a Drinfeld twist and newly proposed noncommutative Einstein equation, and obtain the leading quantum correction to Regge-Wheeler potential up to first order in the noncommutativity parameter. By calculating the quasinormal mode frequencies we show that the noncommutative Schwarzschild black hole remains stable under axial gravitational perturbations.
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Quantum Geometric Phases as a New Window on Gravitational Waves
A claimed new quantum geometric phase induced by low-frequency gravitational waves in an optomechanical mirror is derived, but the derivation contains algebraic inconsistencies that invalidate the predicted detectability.