And if someone does not know what that is, and participate in the discussion, I would assume one would check that in google, and we have three alpha symbols right away:
Everything is possible and nothing is possible if we don't have any concrete model at hand.
In Earths frame of reference it surely does depend on its rotation.
Well, I'm one of those (few?) physicists that do not get excited by that kind of things at all. But I do get "aroused" by the idea of using affine bundles in formulating Newtonian mechanics o0) And I was that way from the very moment I started falling in love with physics, back in high school...
Our known theories assume continuous spacetime. To derive something in granular spacetime we need models that have it built in. And we don't, at least not developed to the point where we can derive conservation laws.
If it's not in an energy eigenstate, does it even make sense to consider conservation of energy? If not, then you can't say energy is or is not conserved.