First email: April 30, 2022 at 4 PM
RE: Peebles is right. There is no starting point and there’s no consensus as to might be..
Dear Prof. Dr. Richard Streit Hamilton:
The work of James Peebles, especially when he says that we have no good theory of the beginning, is a key. With no beginning, we’re floating… guessing… untethered… We’re all a little like Mad Max (Tegmark). My high school geometry students might be closer to the truth. They got very close when they worked down inside the tetrahedron and octahedron by doing a base-2 to the Planck scale, then turning around, used Planck Length, and in about 202 notations (doublings) were at the edges of the universe… even Planck Time had just passed 13.81 billion years. And, even Conway learned something from our simple, clear-plastic models. When we learned about cubic close-packing of equal spheres and saw the generation of those tetrahedrons and octahedrons, the sphere became the penultimate. Continuity, symmetry, and harmony, the three faces of pi and the boundary between the qualitative and quantitative, between the infinite and finite, bridged the gap.
Are we crazy? Of course, the answer is, “Yes!”
I thought you would find such a confession of interest. Thanks.
PS. If at the Planck scale or Stoney scale (or a similarly-defined scale), that is all there is — infinitesimal-primordial spheres (IPS) each defining space-time. The area outside each IPS (usually associated with packing density, voids, and sometimes called interstitial, either does not exist or is on the bridge between the finite and infinite. -BEC
Bruce E. Camber