Along the path to redefine the universe and its blackholes and singularities

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Where do we go from here?
by Bruce E. Camber, August 2021 (a rough working draft)

To Scholars-Scientists-Students: Virtually every day at least three or four notes (emails or IM) go out to people who are working on key issues regarding some aspect of the emergence of the universe. Most are seasoned scholars; I always try to include postdocs and doctoral-and-undergraduate students. Everybody is committed to finding new insights to some facet of the puzzle. My progress is slow. Of course, I think our concepts of space, time and infinity are incomplete and hold us back. My hope is to ask just the right evocative question that might be an “ah-ha” moment for a scholar. We all need moments of new insight. -BEC

A sampling from among our leading scholars:
1. Stephon Alexander
2. Sabine Hossenfelder
3. Jan Ambjørn
Efforts to define parameters for our universe
Eight scholars inspire us.

Most recent efforts to define a blackhole
Remembering the work of Joe Polchinski

Efforts to define a “Theory of Everything”

Most recent efforts to define a singularity
José  M. M. Senovilla

Alexander Polyakov

Jim Khalili

James Sylvester Gates

Arkani-Hamed, Turok, Tegmark

My first and last note to Steven Weinberg, Nobel laureate

July 13, 2021 at 9:28 PM (he died on July 23, 2021)

Dear Prof. Dr. Steven Weinberg:

I believe there is a direct correspondence between the breakdown of values throughout our world and the inadequacies of our scientific models. Our scientific models are key part of our worldviews and if they are wrong or too narrowly focused, our beliefs become mere solipsism. If the universe is mathematical and highly-integrated, then our understanding of that starting point, now over 13.8 billion years, becomes a key.

Might we consider Max Planck’s base units a starting point? Of course, those units are derivative of other key numbers. If we take as a given that Max’s 1899 calculations of his base units are close enough, at least a symbolic description, how might these initial conditions manifest as the first instant of the universe? …perhaps an infinitesimal sphere? If not these numbers, are there any numbers and calculations that would be more fundamental. By the way, a scholar by the name of John Ralston of the University of Kansas is working on recalculations. Thanks.

Most sincerely,


Arkani-Hamed, Turok & Tegmark

Neil Turok
Neil Turok, Perimeter



Dear Nima, Neil and Max:

You’ve asked us to redefine spacetime and infinity. Here is my proposal:

Our presuppositions to support such concepts:

An explanation of it all:

Our chart of numbers (using Planck’s base units and base-2):

We need to empower a comprehensive view of the universe. It seems from here, that Euler’s base-2 notation is a natural way to order an explosive amount of spheres that are the finite-infinite relation and the best way to answer James Peebles criticism (from his Nobel laureate speech, 2019) that “…in fact, we have no good theory of such a thing as the beginning.”

This study has been idiosyncratic for the past ten years. It just might come of age…

Thank you.

Most sincerely,



Key Dates for this article, Redefined