3 ms·
I've seen a clever mathematical trick that derives the Schrodinger equation out of GR. As you know, there's this invariant interval thing: ds2 = c2 dt2 - dx2 -
by frongpik 6y ago
I've seen a clever mathematical trick that derives the Schrodinger equation out of GR. As you know, there's this invariant interval thing: ds2 = c2 dt2 - dx2 - dy2 - dz2. The trick was to add a small oscillation multiplier to ds2, so it would become ds2 exp(a cos wt) = ... Mixed with lorentz transforms, this yields the static SE and mixed with GR tensors stuff this yields the time dependent SE. I can't judge if this trick is physically sound.
- jl2718 6y agoThis seems to be a more reasonable approach - derive a relation from a law of conservation. Starting from the differential form is fraught with indeterminism. Assuming this works, I wonder about maxwell’s equations. I assume they would have to be consistent with a conserved electromagnetic quantity added into this. Gravity?