Green, Ben J.

Ben Joseph Green
Waynflete Professor of Pure Mathematics
University of Oxford
, Oxford, England

ArXiv (94): Lower bounds for corner-free sets (10 Mar 2021)
Homepage Oxford Royal Society
YouTube: Fourier analysis

Second and most recent email: Sunday, March 21, 2021 @ 8 PM

Dear Prof. Dr. Ben Green:

  1. Have you ever considered Lemaitre’s 1927 model of a cold start with his primeval atoms? If not, why not?
  2. If so, might those primeval atoms be simple spheres defined by the Planck base units? If not, why not?
  3. If so, might Planck Time 5.39116×10-44 per second set a rate of expansion such that there are 539.116 tredecillion spheres per second? Again, if not, why not?
  4. If so, might we apply base-2 notations simply to group these spheres in a logical progression whereby from Planck Time to the current time there are just 202 notations and the process is still active? If not, why not?
  5. If so, might we assume cubic-close packing of equal spheres whereby tetrahedrons and octahedrons are generated?

May I go on? If it is so entirely naive that I lost you with each question, may I kindly ask that you advice me of such. Thank you.

Most sincerely,


First email: Monday, October 1, 2012 @ 2:30 PM  (updated links)

References: Homepage, Patterns in the prime numbers (PDF)Royal Society, Wikipedia

Professor Ben Green FRS

Dear Prof. Dr. Ben Green:

Thank you for all your work on prime numbers.

I have two questions based on a simple premise. If we apply base-2 exponential notation starting at the Planck Length (PL) and double it 202.34 times out to the edge of the observable universe and consider the PL a starting point so by the tenth doubling you have 1024 “somethings” and by the 20th doubling over 1 million and so on.  Apply simple geometries, nesting and enfolding, and you have a simple model that high school kids understand.  Why not?  …fallacies in simplicity?  Thanks.  -Bruce

Model intro:
STEM tool: