John D. Barrow

DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA

ArXiv: Some Generalities About Generality 27 May 2017

CV (PDF)

Homepage

Wikipedia:

YouTube: http://www.youtube.com/watch?v=lDR_plFapVo

First email:Friday, 4 October 2013 17:48:11

**References:**

http://mmp.maths.org/

http://nrich.maths.org/frontpage

http://damtp.cam.ac.uk/people/j.d.barrow/

http://experimentalmath.info/blog/2009/10/john-d-barrows-new-theories-of-everything/

Dear Prof. Dr. John Barrow:

The depth and breadth of your work is simply amazing, truly a gift to this world. However, your Millennium Mathematics Project places your feet firmly on the ground.

I am grateful. So, with your mind in search of meaning throughout

the cosmos and your deep understanding of nature of God, I write

with great respect.

I have two simple questions:

1. Can we take the Planck Length and multiply it by 2, and then each

result by 2, until we are near the edges of the Observable Universe?

2. Does it mean anything? Our students thought it was a very neat

and orderly way of looking at the universe.

I do not have answers to these two very naive questions.

After we went through the 202-to-205 notations, I told the kids that

I would continue doing research and report in. My first attempt to get

some help was to write up a Wiki article, but that was kicked off the site

as “original research” which for Wikipedia editors means there were

no scholarly, published, first-hand references of any one using base-2

notation from the Planck Length to the Observable Universe.

It all started when our high school geometry teacher asked me,

“Uncle Bruce, will you take my five classes and introduce them to

the Platonic solids?” I did. We especially looked at nested geometries,

when the question was asked, “How far in can we go?” That required

a review of Zeno and Max Planck and the Planck Length.

It wasn’t long before we just went the other direction! We were quite

surprised to learn that there were so few base-2 notations from the

smallest to largest measurements of a length.

In our little exercise, simple geometries and number were necessarily

related. We could see how we could begin tiling the universe with

a simple tetrahedral-octahedral chain, increasingly nested from

about the tenth to the 205th notation.

Might it be of some interest to you and the MMP?

Thanks.

Warmly,

Bruce

PS. We are well aware of Kees Boeke’s work from 1957 and

the Powers of Ten with Phyllis and Phil Morrison and the Huang

twins’ wonderful scale. Base-10 is not granular enough and

has no inherent geometry, albeit we realize that ours is instantiated.

PPS. If you would like to see more, I have been writing it up as

we go along so people could follow the path of our thinking:

1. Rough, working draft, possible start of an article

2. The article rejected by Wikipedia

Bruce Camber, CEO, Executive producer

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