Articles: Why Unify? (Nature, v.288, pages 649–651, 1980)
ArXiv (51): Unparticle Physics (May 2007) Wiki
Books: Lie Algebras In Particle Physics (Westview, 1999) (CRC Taylor & Francis, 2018) (PDF)
Wikipedia: Unparticle Physics
Most recent email: Tuesday, March 17, 2020 (Rewrite: 19 May 2016)
Dear Prof. Dr. Howard Georgi:
Your work on Unparticle Physics has finally come to my attention so my studies of your work are still quite young. I apologize in advance for my lack depth.
In and around 1979 John Wheeler sent me a copy of his booklet, The Frontiers of Time (PDF). Unfortunately, soon thereafter, I went back into a business that I had started nine years earlier.
I recently revisited Wheeler’s writings about quantum foam and simplicity. I would ask him today, “What about the Planck base units?” Might we consider Planck Time the first unit of time? Might we consider today, the Now, to be to be an endpoint that gives us the current estimated age of the universe between 13.81-to-14.1 billion years?
If we apply base-2 notation to that continuum, there are just 202 notations that encapsulate the universe. At one second (between Notation 143 and Notation 144) the Planck Length is within .001% of the distance light travels in a vacuum.
Throughout those 202 notations, there are many places to check the validity of the numbers, including the Planck Charge and Planck Mass doublings. There is a deep logic to it all. The first 64 notations are too small to be measured. The first doubling of the Planck Length that can be measured is within Notation-67. The first measurement of a unit of time that can be measured is the attosecond; it is within Notation-84.
Here is a domain, 1-64, for your unparticle physics, including Langlands programs, string theory, and loop quantum theory. If real, it has dimensionality and physicality that cannot be measured directly. Indirectly, it just may become part of the definition of dark energy and dark matter.
When we considered the look and feel of these unparticles, might an infinitesimal sphere at the Planck level be defined by the Fourier transform, Poincaré spheres, and cubic close packing of equal spheres? What are our limitations within mathematics and physics?
All notations appear to be active, so time is surely redefined. It would appear that there is symmetry across all but the current notation.
I hope you will comment. Thank you.
PS. Another recent attempt to describe all this ideation was for FQXi (Aguirre and Tegmark group): https://81018.com/3u/
Long, long ago… I was a member of Harvard SDS ’64 (local high school student – recruited from an all-night teach-in at Memorial Hall), also a member of the Harvard Philomorphs with Arthur Loeb and Bucky Fuller, 1970-1973, and one of nine (1977) with Arthur McGill (HDS) on Austin Farrer’s Finite and Infinite.