Symmetry as signpost
Symmetry is fundamental to physics. The Standard Model of particle physics is based on the concept of symmetry: the behaviour of particles is a direct consequence of the symmetries they posess (or lack, depending on which way you look at it). General Relativity is founded on notions of symmetry. As proved by Emmy Noether, all conservation laws - the conservation of energy, the conservation of momentum, and the conservation of angular momentum, to name a few - are the expression of underlying symmetries.
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