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Regarding this thread:

http://www.physicsforums.com/showthread.php?t=506985

Why is the idea that the total energy in the universe "zero" so popular (re: Laurence Krauss) and why is the flatness of the universe used to back this up when, according to that post, an open universe would not conserve energy so the total energy of the universe cannot be "zero", can it? What's the energy being defined as zero and why is that energy used to predict things about the universe when "the" energy (as the term is used in that post) is not zero?

Additionally, I found one very good explanation here for this,

http://mathoverflow.net/questions/38659/total-energy-of-the-universe/38690#38690

This seems to indicate that in flat space (the sort of space used in these zero energy universe theories) the mass can NOT be positive thus contradicting the notion that mass is positive and gravity negative and the whole thing winds up being zero. Did I interpret that correctly?

The MO question is cross-posted to Physics.SE here,

Total energy of the Universe

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1 Answer

The main reason why space overall is assumed to have an energy very close to zero is that anything else quickly leads to extreme gravitational curvature, which of course is not what we see when you look out at the stars and distant galaxies. Some curvature, sure, but not much, and even then it is mostly localized to effects such as gravitational lenses.

Even an extremely tiny amount of net energy for empty space accumulates very quickly because of the vastness of empty space. If you work out how close to zero you need to get to allow space to look as flat as we see it out to distant quasars, you unavoidably come up with a value extraordinarily close to zero energy per cubit meter of empty space.

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But on what basis do we conclude these were the conditions at the Big Bang (necessary for "zero energy universe" arguments)? And due to dark energy it's not necessary that it will remain in the current state even in the future, right? – Ocsis2 Apr 8 '12 at 20:34
Never realized you commented, sorry. Easy answer though: I have no idea. To me the arguments often seem a bit backwards: The universe is very, very flat, so our theories should somehow make that fundamental to all subsequent attempts to explain it. Instead, theories postulate space as negative, matter as positive, and "somehow" it all balances out. Here's just an example of an alternative: Allow true negative energy mass, and required absolute conservation summing to zero. I don't even know if that's a theory; my point is just that it's important to choose your axiom set explicitly. – Terry Bollinger Jun 20 '12 at 22:01

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