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Every continuous symmetry a conservation law
noether
Noether (1918): for every continuous symmetry of the action there is a conserved quantity, and conversely. The deepest structural theorem in physics - it says WHY the conservation laws hold. It lives on the action side, so it rests on the Lagrangian.
source
Narrow Highway — Noether's theorem
card id
card_noether_symmetry_conservation
address
WIT.codex.FCT/every-continuous-symmetry-a-conservation-law/REF.WITNESSED@narrow-highway
adjoining cards
- part of → Noether's theorem — symmetry is the source of conservation — a pillar of Noether's theorem (Every continuous symmetry a conservation law)
- connects at → The Lagrangian — the Hamiltonian's dual, the path chosen — the theorem is about symmetries of the ACTION - the Lagrangian side of the dynamics
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