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13 votes
6 answers
1k views

(A modification to) Jon Pérez Laraudogoita’s "Beautiful Supertask" — What assumptions of Noether's theorem fail?

I am curious about the following (physically unrealizable) scenario involving a supertask described here: https://plato.stanford.edu/entries/spacetime-supertasks/#ClasMechSupe. The original paper is ...
Maximal Ideal's user avatar
5 votes
6 answers
1k views

How is energy conservation & Noether's theorem a non-trivial statement?

Noether's theorem says that energy conservation is a result of temporal translation symmetry of the laws of physics. This is implied to be - and I'm not saying it's not - a very non-trivial statement. ...
The_Sympathizer's user avatar