#### Nima Arkani-Hamed

Institute for Advanced Studies (**IAS**), Princeton

**Article**: A Jewel at the Heart of Quantum Physics

ArXiv

NPR: Are Physicists Ready To Give Up The Chase For SUSY?

Twitter: IAS

Wikipedia

YouTube: The Future of Fundamental Physics

Z Lecture: Space-time is doomed. What replaces it?

Most recent email: 26 April 2017RE: Two quick questions... regarding Amplituhedrons and topos theory

Dear Prof. Dr. Nima Arkani-Hamed:

To simplify the problem of visualization, attempting to drive into the heart of topos theory, I have begun thinking that we will take just five or six samples out of the chart of 202+ base-2 notations. I’ll post our first pass selection just below. The Planck units would, of course, establish the base line. I would like to bring Langlands program in as we quickly go up the scale to notation 31. We’ll start with the most simple geometries (perhaps beginning with pi, the Feigenbaum constant and close-packing of equal spheres. As we approach notation 67, I would like to see some of those geometries morph into an amplituhedron. It may be premature given we will be using the epochs of the Big Bang as benchmarks, but those are decisions we’ll make when we get to that point.

My questions are few:

1. Do you have any programs that generate a 3D model of an amplituhedron?

2. Is Andy Gilmore’s illustration for the Natalie Wolchover article a good one?

https://www.quantamagazine.org/20130917-a-jewel-at-the-heart-of-quantum-physics/

Thank you.

Most sincerely,

Bruce

Bruce Camber

New Orleans

http://81018.com

Notation: |
Planck Time (Seconds) |
Planck Length (Meters) |
Planck Mass (Kilograms) |
Planck Charge (Coulombs)) |

1 |
5.391 16(13)×10^{-44} |
1.616229(38)×10^{-35} |
2.176.470(51)×10^{-8} |
1.875545.956(41)×10^{-18} |

31 |
1.157794×10^{-34 }s |
.470762×10^{-26}m |
46.79kg (103lbs) |
4.0278116×10^{-9} C |

67 |
7.95630×10^{-24 }s |
2.38509×10^{-15}m |
3.211962×10^{12 }kg |
276.78910 C |

107 |
8.748×10^{-12 }s |
2.6224 mm |
3.5315×10^{23 }kg |
3.0433×10^{14 }C |

149 |
38.47432 s |
11,533,588.224 km | 1.5532×10^{36 }kg |
1.3384×10^{27}C |

173 |
645,492,017.5 s |
1.935015×10^{17} km |
2.605×10^{43 }kg |
2.245×10^{34 }C |

199 |
4.331×10^{16 }s |
1.298×10^{24} km |
1.748×10^{51 }kg |
1.506×10^{42}C |

**Chart I. **An article being developed around it is here: https://81018.com/planck_universe/

Fourth email: Tuesday, April 25, 2017 RE: Amplituhedrons, topos theory and NASA's Space App Challenge

https://2017.spaceappschallenge.org/challenges/ideate-and-create/1d-2d-3d-go/details

Dear Prof. Dr. Nima Arkani-Hamed:

We may be taking the data from our base-2 chart from the Planck units to the Age of the Universe — there are 202+ notations — to create a “spaceapp” this weekend for NASA’s Space App Challenge.

The first second within the life of this universe takes up just over 143 of those 202+ notations. The first 67 notations are much smaller than the work done at CERN so imagination is a key to creating a visualization of the initial notations. The amplituhedron is cited in notation, 62.

We should be using the the epochs defined by the big bang theory as a level set and guide.

Close-packing of equal spheres using the Feigenbaum constant, Wolfram’s computer automaton, and possibly some representation of the Langlands program and topos theory will be competing for pointfree vertices. I see attempting to represent the amplituhedron within notations 60 to 67.

Of course, the entire domain just might be the first time dimensionless or pointfree geometries (from Alfred North Whitehead to topos theory) would be visualized, especially visualized within a base-2 view of the universe.

Do you have any programs and/or people you could loan us to apply some of the more visual manifestations of topos theory and the role of the amplituhedron?

Thank you.

Most sincerely,

Bruce

Bruce Camber

New Orleans

ttp://81018.com

Third email: Sun, Aug 14, 2016 at 8:49 AM Subject: Space-time and the limits of CERN

Dear Prof. Dr. Nima Arkani-Hamed:

Could space-time be derivative of symmetry-continuity?

(Newton-Leibniz debate)

Shouldn’t there be some consideration of the space-time

defined between the Planck scale and the CERN-scale?

If we use base-2 notation, there are about 200 notations

from the Planck Time to the Age of the Universe. The

first 67 notations to the CERN-scale have information:

https://81018.com/chart/

It appears to be that there are many transformation lines

between the finite and infinite. CERN has hit the wall

and now only pure math and geometry will carry this

research forward. Langlands programs are

one option; I think there are more.

Silliness or worth further consideration?

Thanks.

Most sincerely,

Bruce

*****************

Bruce Camber

New Orleans

http://81018.com (updated)

PS. Back in 2012 you heard from me when we were still trying to grasp

the legitimacy of using base-2 this way. It was characterized as

idiosyncratic, but nobody seemed to think it was wrong per se.

I think you were still at SLAC at the time.

Second email: Tue, Jan 20, 2015 at 4:47 PM Subject: You might see some correspondence between the Planck Length and Planck Time that we are missing.... Ref. http://www.sns.ias.edu/arkani

Dear Prof. Dr. Nima Arkani-Hamed:

We are still doing our simple project with the Planck Units and base-2 notation to their known limits. I am sure that you will find some correspondences between the Planck Length and Planck Time within the 201+ doublings that will be peculiar and of interest. That side-by-side chart is here: https://81018.com/chart(updated)

Best wishes,

Bruce

Bruce Camber

>New Orleans, Boston

First email: Thu, Dec 13, 2012 at 4:01 PM Subject: Might the hierarchy be extended using base-2 exponential notation from the Planck Length to the edges of the observable universe?

Prof. Dr. Nima Arkani-Hamed

Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309, USA

Dear Prof. Dr. Nima Arkani-Hamed:

Has the scientific community discounted using base-2 exponential notation, beginning with the Planck Length and going the 202.34 steps (or doublings or notations) out to the edges of the observable universe? If so, I would dearly appreciate understanding the logic for discounting it. If not, then I would ask about the meaning of the first sixty steps and if anybody has done any investigations of them as inter-related layers, steps or notations. If there is such scholarship, could you point me to it? Thank you.

Warmly,

Bruce

Bruce Camber, CEO

Small Business School

Private Business Channel, Inc.

http://SmallBusinessSchool.org

Further backgrounder:

Reference: http://smallbusinessschool.org/page2805.html

• The longest-running television series on PBS stations in the USA and the Voice of America around the world about best business practices. http://smallbusinessschool.org/page18.html

• Every business owner was recommended by many local business advocates, often the local Chamber of Commerce, and confirmed by their national trade association for their leadership, generosity of spirit, ethics, and courage. Nobody can pay or has ever paid to be on this show. http://smallbusinessschool.org/page898.html

• Many publishers, business associations, schools, and journals provide their constituents with access to daily business tips: http://smallbusinessschool.org/page2162.html