Most recent email: 15 April 2021 at 6:30 PM
Dear Prof. Dr. Jacob Lurie:
We are back studying your ArXiv collection and I recently updated our own reference page about your work — https://81018.com/lurie/ — which gives us confidence that we are not on the wrong path.
Does anyone have a good starting point for a theory of the beginnings that necessarily defines space-time, mass-charge, electromagnetism-gravity in a way that our high school kids can say, “There’s an inherent logic to it all. I want to study these aspects of it…”? If we hold onto to big bang cosmology, all our math has to create too much heat for comfort.
We’ve decided that big bang cosmology’s infinitely hot start is silliness and Lemaitre’s first idea in 1927 of a cold start is a better idea. We forced our base-2 chart to be cold and decided to deal with Planck Temperature in other ways. Yes, we realize that we are idiosyncratic… for sure. Such is life. Notwithstanding, we wish you well with your infinity categories, derived algebraic geometry, and higher topos theory. Thank you.
First email: Tuesday, April 25, 2017, 4:25 PM
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 us up to just over Notartion-143 of those 202 notations. The first 67 notations are within length scales much smaller than the work done at CERN so some 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. We quickly picked up on close-packing of equal spheres and rather casually assumed Wolfram’s computer automaton, Langlands programs, Mandelbrot sets, expressions of topos theory… (and all other well-defined disciplines like M-Theory that have no current place on the grid), all compete for vertices (within those first 64-to-67 notations).
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?
Bruce E. Camber