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I was reading a Steven Strogatz book and he said that the self similarity of fractals is a symmetry. Has any conservation law been linked to this type of symmetry using Noether's Theorem?
One needs to distinguish between physical symmetries and mathematical symmetries.I was reading a Steven Strogatz book and he said that the self similarity of fractals is a symmetry. Has any conservation law been linked to this type of symmetry using Noether's Theorem?
This is at the edge of my understanding: scale invariance (self similarity) is associated with conformal symmetry:I was reading a Steven Strogatz book and he said that the self similarity of fractals is a symmetry. Has any conservation law been linked to this type of symmetry using Noether's Theorem?
perfect, thanksThis is at the edge of my understanding: scale invariance (self similarity) is associated with conformal symmetry:
https://en.wikipedia.org/wiki/Conformal_symmetry
These are typically associated with phase transitions, but I think you can also generate a conserved energy-momentum tensor from this.