3 ms·
> If you start a system braiding, it will build complexity because braiding appears to be non-local — and so the tangle becomes an increasingly complex circuit.
by uoaei 3y ago
> If you start a system braiding, it will build complexity because braiding appears to be non-local — and so the tangle becomes an increasingly complex circuit. The cusp of a black hole is a regime we’d expect such topological effects to accumulate.
Would you please expand on the connections between the first and second sentence here? What does braiding 'look' like in topological spacetime?
- zmgsabst 3y agoBraiding is easier in a restricted topology. That’s why research on anyons uses restricted topologies which cross world lines rather than trying to construct 2-knots in a 3+1D spacetime. As you approach a singularity, “around” becomes much shorter than “across”, effectively restricting the space you’re in. Around being shorter than across is why black holes form Einstein rings: the light is taking the shortest path! So if paths cross while going around the singularity, they can’t untangle by moving across the singularity. Hence you have an easier time building topological modes, akin to the restricted topologies for anyons. (Or so my conjecture goes.)