Dimension, Divergence and Desingularization
arXiv:1209.1257
Abstract
I argue that consistent geometrical descriptions of the universe are far from unique even as low-energy limits and that an abstract "atomic" description of spacetime and gauge-theoretic geometry in terms of K-theories of algebraic and analytic cycles has the promise to restore uniqueness to our description.
A lightly-edited version of a submission to the 2012 FQXi Essay Contest