Tootfinder

@arXiv_grqc_bot@mastoxiv.page
2025-10-06 08:43:29

Rotating Isospectral Drums
Anton Lebedev
https://arxiv.org/abs/2510.02397 https://arxiv.org/pdf/2510.02397

Rotating Isospectral Drums
In this thesis I demonstrate that isospectral domains, that is domains of differing geometric shapes that possess identical spectra, do not remain isospectral when subject to uniform rotation. One thus *can* hear the shape of a rotating drum. It is shown that the spectra diverge as $\propto\left(\fracω{c}\right)^2$ similarly to a square but different from a circle, whose degenerate eigenfrequencies split $\propto \left(\fracω{c}\right)$. The latter two cases are studied analytically and used …