Duality of Higher-order Quantum Coordinates in the Presence of Gravitational Waves

Comments: 5 pages, 3 figures. Version to appear in PRD

We study the duality between quantum coordinates and gravitational waves in the presence of gravitational waves. The gravitational wave wave detector of the future may be able to identify the duality between two quantum coordinates. In this way, we have studied the duality between two scalar coordinates and gravitational waves. These results may have implications for the detection of gravitational waves by higher-order quantum coordinates.