(adsbygoogle = window.adsbygoogle || []).push({}); Harmonic solutions as "Riemannian oscillators"?

Has anyone heard of this idea before? Basically, you just solve the Schrodinger equation using n-dimensional spherical boundary conditions. Given n=2, you get what look like atomic orbitals. But rather than going the Born probalisitic route by squaring the result, you take the Einstein GR route by viewing it as oscillations of a Riemannian manifold. (Honestly, I've never liked the Standard Model as a conceptual framework anyway. Call me old-fashioned, but I much prefer the tangibility of differential geometry.)

Using wavefunctions of amplitude→∞ and [itex]\nu[/itex]→0, we can model gravity. But if amplitude→0 and [itex]\nu[/itex]→∞, we can model the tiny oscillators of Planck's blackbody work. I think I might have heard a disillusioned string theorist kicking around something like this a long time ago.

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# Harmonic solutions as Riemannian oscillators ?

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