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Somewhat related is noether's theorem (from Emmy Noether) that draws direct correspondence between symmetries and conserved quantities. E.g. conservation of li
by scheme271 10mo ago
Somewhat related is noether's theorem (from Emmy Noether) that draws direct correspondence between symmetries and conserved quantities. E.g. conservation of linear momentum corresponds to a system that is invariant to translations. So you can find some of the fundamentals of a system by looking at symmetries and Lie groups/algebras give you tools to look at symmetries.
- gsf_emergency_6 10mo agoMaking this more related (to GP's comment): Charge is conserved => symmetry (though not capturing exactly the "(non-Noetherian) localization" that is special to it) GP suggested the opposite thought process-- as you rightly imply: disagreement between 2 observers whether charge is conserved or not => discovering that _something else_ is conserved