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Do you check everything you are being told?
Energy of electron states depends on:
n,l,m - in general
n,l - with rotational symmetry
n - for hydrogen atom with Coulomb potential
Why? Additional symmetry!
Can we understand the hydrogen atom?
Linear superposition
Three quantum numbers:
n - excited state
l - magnitude of angular momentum
m - direction of ...
Energy of electron states depends on:
n,l,m - in general
n,l - with rotational symmetry
n - for hydrogen atom with Coulomb potential
Claim: due to additional symmetry!
How can we include gravity?
Problems with Newton's gravity:
- instantaneous (what about c?)
- distance (according to whom?)
Equivalence principle: two types of mass are identical ?!?
Einstein: the solution is General Relativity, with a spin-2 field (curved space-time).
Claim: alternative with spin-0 field, also compatible with equivalence principle