Articles: Space and Time: From Antiquity to Einstein and Beyond (PDF)
ArXiv: Asymptotics with a positive cosmological constant
Youtube: Even a tiny positive cosmological constant casts a long shadow (2016)
References within this website:
• In Search Of Deeply-Informed Analyses
Ivan Agullo, Louisiana State University
Abhay Ashtekar, Pennsylvania State University
William Nelson, Pennsylvania State University
Dear Profs. Drs. Ivan Agullo, Abhay Ashtekar, and William Nelson:
I was looking at an article from 2012 by Stephen Battersby in the New Scientist where he says, “Now Abhay Ashtekar, Ivan Agullo and William Nelson of Penn State University in University Park have used loop quantum gravity to examine what structures would emerge as the universe bounced into being.” I have that article opened from within ArXiv.
Our work began down river from LSU in River Ridge, just south of the NOLA airport and north of the quarter in a high school geometry class where we were walking deeper and deeper inside the tetrahedral-octahedral couplet. When we bumped into the Planck Wall, we turned around and quite intentionally applied base-2 using the Planck’s length to come out 112 steps into the classroom and then to go the next 90 steps to the edge of the universe, the current expansion, and this very day and time. We thought it was entirely cool.
Then I started looking at it. Of course, Kees Boeke did his base-10 and IMAX did a heck of a promotion of it. It took a couple of years to believe folks who told us, “This is the first time that a base-2 chart has been made.” The chart gives us 64 notations prior to the CERN-scale. The 25th notation brings us out to 1.8090539×10-36 seconds. The first second is just with Notation-144, the first light year is within Notation-169, the first million years is within Notation-189 and the first billion years is within Notation-199.
If we start cold like Lemaître did in 1927, the first manifestation is possibly a primordial sphere. The stacking of spheres opens cubic-close packing of equal spheres as early as Notation-2. That possibly opens the dynamics within Fourier Transform, and rather quickly the rest is history.
That’s all well-and-good, but we are nobody from nowhere special. We have deep holes in our knowledge and understanding and we need help either to plot a path forward or to shut this thing down.
I would be deeply grateful for any help you can give us! Thank you.
Dear Prof. Dr. Abhay Ashtekar:
Can we double the Planck base units? Frank Wilczek said, “Yes.” But, is it meaningful? We applied base-2 from Planck’s units and in 67 steps we were up to the CERN scale. In 112 steps we were at the size of our original tetrahedron (and octahedron within it). In 143 steps we were close to one second (go to Notation-169 for one light year, Notation-179 for 1000 years, Notation-189 for a million years, and Notation-199 for a billion years). In 202 steps we were out to the approximate age and size of the universe. Our chart: https://81018.com/chart/
It’s a sweet map of the universe, a little like Boeke’s base-10, but more granular and by definition it goes from the Planck base-units to the current time and the current expansion of the universe. But, is it meaningful? We’ve looked at many doubling functions and believe it should be or else logic is failing us somewhere.
Might you help advise? Is this a fantasy? If so, is there a way back to reality? Thank you very much.