###### by bruce camber

**Please Note**: This compilation page was initiated on April 12, 2018. It has a ways to go before becoming a working draft.

**Background**. In April 2018, I thought that I was making up a new word, *Planckspheres* or* Planck Spheres.* It seemed reasonable. It was a natural progression beyond John Wheeler’s *quantum foam*. But when googled, there were already many much-earlier adopters.

The concept had come into my focus as a result of these four homepage articles:

• Emergence, planckspheres and doublings: https://81018.com/emergence/

• **A study of the earliest beginnings**… the first three of 202 notations https://81018.com/growth

• **Our Open Letter To You**: An introduction to a very simple chart of the universe that seems comprehensive beyond belief and imagination https://81018.com/imagination/

• **202 doublings define our universe**. Each doubling could also be considered an archetype, cluster, container, domain, group, layer, notation, set, or step. https://81018.com/einstein/

Back in 2015, it had also been the subject of an early analysis of Wheeler’s geon

(1955): Quantum foam – John Archibald Wheeler

That was as far as I had come but now it seemed to be the most important part of the puzzle so this page became a collection area for any and all articles that made reference to Planck Spheres and sphere stacking.

*That collection zone begins below! Last update: Monday, April 30, 2018 at 4 PM CST GMT-9*

Planck Sphere: http://vixra.org/pdf/1711.0457v1.pdf The Holographic Principle and How can the Particles and Universe be Modeled as a Hollow Sphere

http://vixra.org/pdf/1601.0103v1.pdf

Author Michael John Sarnowski; Email thilel@charter.net Sabine Hossenfelder states, “The Holographic Principle requires that the number of different states inside a volume is bounded by the surface of the volume. That sounds like a rather innocuous and academic constraint, but once you start thinking about it, it’s totally mindboggling.

https://books.google.com/books?isbn=1304195066

David de Hilster

The natural progression of photon-snippets travel between adjacent layers — for half-an -instant — these layers alternate; allowing left-hand spirally polarized photons to “ride” the surface of the *Planck-spheres *to the next pair of adjacent Onion-layers. Then next half-time quantum the right-hand spirally polarized photons do ..

http://backreaction.blogspot.com/2015/09/no-loop-quantum-gravity-has-not- been.html?spref=The **Euler**–**Mascheroni constant** (also called **Euler’s constant**) is a mathematical **constant** recurring in analysis and **number** theory, usually denoted by the lowercase Greek letter **gamma** (**γ**). It is defined as the limiting difference between the harmonic series and the natural logarithm: Here, represents the floor function.tw

https://www.physicsoftheuniverse.com/contact/

https://www.brown.edu/academics/math/news/2018/03/distinguished-lecturers-series-4418-4618

Henry Cohn, Microsoft Research, http://math.mit.edu/~cohn/

**“Sphere packing and the magic dimensions 8 and 24”**

**“Sphere packing and uncertainty principles” **

where there are **1979**. *The Geometrical Foundation of Natural Science*, Robert Williams (Dover, 1979): I have begun reading bits and pieces of Williams book:

https://archive.org/stream/geometricalfound00will#page/n21/mode/2up

**2006**. Victor J. Stenger used the concept (p. 134) within his book,** ***The Comprehensible Cosmos: Where Do the Laws of Physics Come From?* (Prometheus Books, 2006)

2004 Gary Cuba: http://thefoggiestnotion.com/planck_unit_packing.htm

*The Geometrical Foundation of Natural Science*, Robert Williams (Dover, 1979): Sphere packing LinkedIn: Congratulations on all that you have seen and experienced. Just wonderful. Just discovered your work through a reference with Gary Cuba’s work: http://thefoggiestnotion.com/planck_unit_packing.htm

I was part of Loeb’s Philomorphs back in 1971; today making a little progress: http://81018.com

**References**:

Numbers: https://81018.com/number

** Consider Phillip Ball’s work:**

- Physics at the Planck time by Philip Ball
- https://en.wikipedia.org/wiki/Critical_Mass_(book)
- https://en.wikipedia.org/wiki/Philip_Ball
- https://www.philipball.co.uk

In 2017 it was suggested by E. Haug^{ [3]} that the Planck length can be indirectly measured independent of any knowledge of Newton’s gravitational constant with for example the use of a Cavendish apparatus.

• https://en.wikipedia.org/wiki/Zeros_and_poles

• http://en.wikipedia.org/wiki/Pole_(complex_analysis)

• http://en.wikipedia.org/wiki/Simply_connected_space

• http://en.wikipedia.org/wiki/List_of_mathematics_journals

• John Conway on the pole

##### Planck Spherical Unit structure of space and quantum gravity (LQG)

https://forum.nasaspaceflight.com/index.php?topic=41672.msg1612124#msg1612124

I wrote to d8_thc the following note, I had to put my sunglasses on to read your statement within these pages: *“If the structure of space itself was made up of overlapping planck spherical units of the planck mass, we would have a Bose Einstein Condensate of space, implicating that the surface horizon of these black holes are using this to transfer massinformation instantly outward, i.e. the majority of mass is nonlocal due to Einsten-Rosen bridge wormholes (implicating EP=EPR).”*

*https://forum.nasaspaceflight.com/index.phptopic=41672.msg1612124#msg1612124
The Unified Field And Sacred Geometry*

I’ll be processing it for awhile.

**BTW, do you know of any concise history of the emergence of the concept of a Planck sphere? ** Thanks.”

Note: https://www.youtube.com/watch?v=KoELwBYzNDY Nassim Haramein

Nexus 2010 in Queensland, Australia

Nov 21, 2016 – … planck density of space using spherical oscillators yields the mass of the observable universe. Next divide surface / volume. And here is calculating the proton rest mass via these same principles but applying the holographic principle .

Quote: planck masses that fit on surface / *planck spheres* in volume.

Casmir effect, 1947