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Originally Posted by JimJast
Quote:
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Originally Posted by CodeSlinger
Having acknowledged that laws of physics do not change over time in Big Bang's expanding universe (the requisite conditions for conservation of energy in Noether's theorem), please show why Noether's does not establish conservation of energy in Big Bang's expanding universe.
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Finally I have understood the problem. You have mixed physical law with physical system. While the first might be preserved in expanding universe physical system might change so that its energy isn't conserved (in other words the words "translation through time" don't mean the same thing for both). |
Do you realize how silly you just made yourself look? Noether's says that
conservation of energy is a consequence of laws of physics being invariant over time. It's right there in Wiki's description (first paragraph, second sentence), which you yourself have conceded as correct. You also conceded that
the laws of physics are invariant over time in Big Bang cosmology. Your continued insistence that Noether's does not apply to Big Bang's expanding universe, despite Big Bang cosmology meeting exactly the conditions laid out by Noether's, makes it clear that it is you who have a problem with mixing things up (to put it mildly).
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Originally Posted by JimJast
E.g. two charges separated by a certain distance in expanding universe are a second later separated by a greater distance. So depending on the sign of the charges their energy either grows or becomes smaller, or in other words, energy changes. It is not conserved.
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I'm assuming that when you said energy, you were referring to the electric potential energy between the two charges. In which case your example is invalid, as electric potential energy only makes sense in an electrostatic system, where the charges are
not moving relative to each other. If you are using some other definition of energy, please state what it is.
Since you have failed yet again to give support for your claim that Noether's does not apply to an expanding universe, I do not consider this question answered.