Articles: An alternative to string theory, IOP, 2019
Books: The New Cosmology, with D. V. Nanopoulos, and C. N. Pope, AIP, 2004
YouTube: Perfect Dark Matter Scenario (2019)
Abstract: We propose a dark matter scenario which is ideal in the sense that (1) all of the well-known successes of supersymmetry are preserved, (2) the parameters can satisfy naturalness, (3) the addition of an extended Higgs sector implies a doubly rich plethora of new particles and new physics, (4) the mass of the dominant dark matter WIMP is ≤125 GeV/c2, (5) the gauge couplings of this particle are precisely defined, and (6) naturalness implies that its Higgs-mediated couplings are comparable to those of a neutralino with optimal parameters for direct, indirect, and collider detection.
First email: Saturday, December 8, 2018, 3:45 PM
Dear Prof. Dr. Roland E. Allen:
I enjoyed my read of your February 2018 group paper, “Light, the universe, and everything — 12 Herculean tasks for quantum cowboys and black diamond skiers.” I particularly stopped to look further into your comments with Suzy Lidström about the magic of light. With all the questions raised within that PQE Colloquium, it is no wonder that folks like Tegmark, Arkani-Hamed and Turok call for new first principles and starting points.
Wilczek’s three articles in Physics Today (2001), Scaling Mt. Planck I, II, and III, resuscitated Max Planck’s seminal work on his base units (1899, 1906). Wilczek’s title, “Scaling…” inculcates K.G. Wilson’s attempt to develop a comprehensive theory of scaling. Can it be extended?
What if we were to develop a rather naive scale from the Planck units simply by doubling each, and then the results, over and over?
In 202 notations (or doublings or groups or sets), we will have mapped the universe and be at the Age of the Universe and size of the universe. We know Kees Boeke’s 1957 base-10 scale is only 40 jumps. Had he started with the Planck scale and gone out the assumed age of the universe, he would have had between 60-to-61 jumps.
In our naive scale, the base-2 numbers are of some interest:
1. First, it all assumes that the Planck scale starts at the very beginning.
2. Between notations 143 and 144, the Planck Time’s doublings finally hit the one second mark while Planck Length’s doubling approximates the distance light travels in a second.
3. Between notations 168 and 169, a light year emerges and perhaps predictably now, the Planck Length approximates the distance light travels in a year.
4. Planck’s little equation for Planck Time, Planck Length (lP) divided by light equals tP, of course, holds by definition, throughout all 202 notations (yet suggests a variable speed of light within about .1% of the laboratory value in a vacuum).
5. Einstein’s historic formula binds all four Planck base units throughout the entire the progression.
6. Within the 197th notation, large-scale structure formation finally begins within the 300-million year mark. The 202nd notation is approximately 10.9816 billion years so almost all of this naive model is about the very early universe.
7. It’s an application of Euler’s exponentiation.
8. It redefines the small-scale universe with numbers beyond our tools of measurement, a veritable playground for string theory and those seeking to define dark energy and dark matter. It accurately orders the human-scale from protons to satellites. And, it defines a natural inflation that approximates the epochs of the ΛCDM model.
The raw numbers are on the web here: https://81018.com/chart/
I think it is a path worth some of our time to explore. What do you think?
PS. PS. Your inclusion of Newton’s questions from Opticks within section 14 of your paper is fortuitous. We’ve all got to go back and re-wrestle with Newton’s notions of absolute space and time and how those notions became our commonsense worldview which does not work well within this integrated universe view. -BEC