It's been mentioned a couple of times recently
that, under general relative, energy is only conserved
locally, not globally. The question I have is: what
exactly does "local conservation of mass-energy"
*mean*?
I don't have an extensive physics background,
my education being more in pure mathematics, but I've
going to give a rough stab at it with that as a jumping-off
point, and any clarification/correction would be
appreciated.
"For any point p in spacetime, there exists a
neighborhood of that point (a 4-ball) such that, for the
border of that neighborhood (which would be a
3-manifold), the total flux of mass-energy across that
border is zero."
Is that roughly correct? I realize it certainly
needs to be rigored up.
--
e^(i*pi)+1=0
George W. Harris For actual email address, replace each 'u' with an 'i'.
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