Dear Prof. Dr. Jacob Lurie –
Congratulations on all you have done to date! Most impressive.
In December 2011 in a New Orleans high school we began developing a base-2 chart from the Planck units to the Age of the Universe. There are 202+ notations to encapsulate the universe. But… is it at all meaningful? Most people think not.The first second within the life of this universe takes up just over 143 of those 202+ notations. The first 67 notations are much smaller than the work done at CERN so deep imagination is a key to visualizing the initial blocks of notations.
Because we are simple, we see it simply. Also, we use the epochs defined by the big bang theory as a level set and guide. Close-packing of equal spheres, Wolfram’s computer automaton, perhaps something within Langlands programs, Mandelbrot sets and some expression of topos theory all compete for vertices.
Has there been any attempt to visualize the dimensionless or pointfree geometries vis-a-vis Alfred North Whitehead and topos theory? Do you “see” anything?