The paper is the best argument I have heard for P=NP, even though I believe the opposite. It can be found here: http://arxiv.org/abs/cs.CC/0406056. It brings out a great question.Scott Aaronson, in a post downstream:
Basically, the argument is that since soap bubbles can be made to solve NP-complete problems, particularly the Steiner tree graph problem, in what appears to be polynomial time and physics on a macroscopic level can be modeled as a Turing machine, it must be true that P=NP.
What I would like to know from any physicists out there is why do soap bubbles work in such a way that they are able to solve the Steiner tree graph problem?How is nature able to quickly solve problems that we cannot solve quickly?
Motivated by this newsgroup discussion, this week I did the experiment. At a hardware store I bought two 8"x9" glass plates; paint to mark grid points on the plates; thin copper rods which I cut into 1" pieces; suction cups to attach the rods to the plates; Murphy liquid oil soap; and a plastic tub to hold the soapy water. I also bought work gloves, since at one point I cut my hand handling the glass.The post continues: read it all. He even has a picture.