so, what is the entropy of phased fluctuations?

the entropy of unphased fluctuations is zero.

as fluctuations entangle, is there an increase in entropy?

does a straight line have lower entropy than a knot?

yes.

so, fluctuations entangle.

chaotically.

http://www.cs.mcgill.ca/~bsprot1/TheEntropyofaTangleLatest.pdf http://necsi.edu/projects/baranger/cce.pdf

http://chemed.chem.purdue.edu/genchem/topicreview/bp/ch21/chemical.php