Author Topic: Emmy Noether  (Read 706 times)

Offline trdsf

Emmy Noether
« on: March 23, 2015, 01:53:30 PM »
Today's Google Doodle celebrates the You are not allowed to view links. Register or Login, who I think is responsible for the most remarkable theory in all of mathematical physics: You are not allowed to view links. Register or Login, that every symmetry law has a related conservation law.   That's way oversimplified, but expresses the flavor of it -- I haven't the math to explain in detail.

For example, the law of conservation of energy is a consequence of actions being symmetric under time -- i.e., all other things being equal, it doesn't matter when you perform an action, you get the same result from an experiment done on Tuesday morning as you do on Wednesday afternoon.

Invariance under translation (movement in space -- all other things being equal, it doesn't matter where you do something) leads to conservation of momentum.  Invariance under rotation (it doesn't matter which way you're looking) leads to conservation of angular momentum.

This just blows my mind.  It's my favorite theorem in all of mathematical physics because it's so unexpected.  Go out and read up a little bit, I think it's an amazing concept to try to get your brain around.
Sir Terry Pratchett, on being told about the theory that the universe is a computer simulation: "If we all get out and in again, would it start to work properly this time?"

 

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