Entangled Degrees of Freedom

Lepton pairs have degrees of freedom which are entangled or not.


Image copyright © Anton Zeilinger, Institute of Experimental Physics, University of Vienna.
Photon pairs are entangled in the illustration above.

Entangled particles fly apart in opposite directions.

Attempts are made to entangle the various degrees of freedom of various types of laser beams.

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The language seems sort of funny when you think of particles as brades. It seems natural they should get entangled. Nevertheless, it is really a degree of freedom that gets entangled between two entities like laser beams, allotropes, atoms, etc.

Spin and Valleys In Graphene

It seems like a fun puzzle how these diagrams fit into the spin network boundaries of graphene. Can you imagine leptons as being these changing weaves that transform through the topology of the phase transitions of the valleys and 2-branes. What do you think Archimedes, Gauss and Grothendieck would make of this?