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> To be fair we do already know that energy is not globally conserved over cosmological timescales.

No, what we know is that there is no invariant global concept of "energy" at all except in a special class of spacetimes (the ones with a timelike Killing vector field), to which the spacetime that describes our universe as a whole does not belong.

However, "tired light" (at least the versions of it that aren't ruled out the way the Zwicky model you describe was) violates local energy-momentum conservation, which is a valid conservation law in GR (the covariant divergence of the stress-energy tensor is zero).



Somehow I learnt about Riemannian manifolds and Killing vector fields in a geometry class that didn't mention physics at all.

I am always entertained when some nonsense I learned actually has something to do with the real world.


That is a good clarification.




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