Rob Sheldon on the “unknowability” problem
Further to Robert Marks on the math paradox that challenges physics because it may be unanswerable, Rob Sheldon writes to say, Without reading the full paper, it sounds like a familiar problem in many-body QM, how do you add up all the distant interactions in an infinite crystal to find the energy of the system at a single point? Sometimes the interactions fade away, and the series converges. Sometimes the interactions stubbornly refuse to fade, and the series diverges. This paper is saying “there is no a-priori way to know if you have a convergent or divergent series.” I think for mathematicians, this is a Thales moment, when they get to tell the physicists that math really does have application Read More ›