3 ms·

A rotational symmetry implies conservation of angular momentum.

• ganzuul 5y ago
  What would scale symmetry conserve? Entropy?
  • scarmig 5y ago
    A relevant discussion that I'm digesting: https://physics.stackexchange.com/questions/2670/what-is-the-conserved-quantity-of-a-scale-invariant-universe https://physics.stackexchange.com/questions/2670/what-is-the...
    • codethief 5y ago
      The link doesn't seem very relevant. A scale-invariant or even conformally invariant universe is something completely different from some substance exhibiting (approximate[0]) conformal invariance during a phase transition. [0]: The paper from the article explicitly refers to "rotational invariance at large scales".
• Aardwolf 5y ago
  But we already know which symmetry is related to angular momentum, or do you mean a different kind of angular momentum related to phase transitions?