Fwiw, where I'm at...

https://www.youtube.com/watch?v=gI0DYD2FhtE

or probably more accurately:

https://www.stat.uchicago.edu/~lekheng/work/psapm.pdf

https://www.math.stonybrook.edu/~bishop/classes/math638.F20/Canzani_Laplacian_Notes.pdf

Except, not in the domain of physics of course. Some on list may have done
the work before (or recently) of recovering proper geometry from what
otherwise is a dearth of isospectral properties. I would love to know who
out there might be worth having a discussion with regarding such
techniques, limitations and frontiers.
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