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Identify and confirm the correct gauge group for quantum gravitodynamics

Ascertain whether the diffeomorphism group is the correct gauge symmetry for a viable quantum theory of gravitodynamics, or identify the appropriate gauge group that should underpin a confirmed quantum gravity framework.

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Background

In the concluding discussion, the authors reflect on the role of symmetry in fundamental physics and propose that a quantum theory of gravitodynamics may be governed by the diffeomorphism group. They caution, however, that this identification is not yet established.

This issue connects to broader efforts to formulate a consistent quantum gravity, including experimental prospects for high-frequency gravitational wave detection, and remains under active investigation.

References

Now we think the gauge group of quantum gravitodynamics is the Diffeomorphism Group but this is still a matter under current research and not at all confirmed.

From Faraday and Maxwell to Quantum Physics. The later story of the Electromagnetic Vector Potential (2509.04486 - Choy et al., 31 Aug 2025) in Section 8: Conclusion