S.J Gates et al - Relating Doubly-Even Error-Correcting Codes (shortened)

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SUMMARY

The discussion centers on the article "Relating Doubly-Even Error-Correcting Codes, Graphs, and Irreducible Representations of N-Extended Supersymmetry" by C.F. Doran et al., which explores the intersection of error-correcting codes and physics. Key topics include the concepts of Hamming weight and distance, and their relevance to physical equations. The conversation also touches on the potential connection between these mathematical constructs and adinkras, as well as the role of matrices in this context, as mentioned by S.J. Gates. The humorous reference to the Matrix film highlights the philosophical implications of information theory in physics.

PREREQUISITES
  • Understanding of error-correcting codes, specifically doubly-even codes.
  • Familiarity with Hamming weight and distance concepts.
  • Basic knowledge of adinkras and their application in supersymmetry.
  • Awareness of matrix theory and its implications in physics.
NEXT STEPS
  • Research the mathematical foundations of Hamming codes and their applications in coding theory.
  • Explore the role of adinkras in supersymmetry and their connection to error-correcting codes.
  • Study matrix representations in quantum mechanics and their relevance to information theory.
  • Investigate the philosophical implications of information theory in physics, particularly in relation to the Matrix analogy.
USEFUL FOR

This discussion is beneficial for physicists, mathematicians, and computer scientists interested in the intersection of error-correcting codes, supersymmetry, and information theory. It is particularly relevant for those exploring advanced topics in theoretical physics and coding theory.

XenonD
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Hello, I am a curious layman without any formal higher education in physics.

I wonder what you think of this article:

C.F. Doran, M.G. Faux, S.J. Gates, Jr., T. Hubsch, K.M. Iga, G.D. Landweber "Relating Doubly-Even Error-Correcting Codes, Graphs,and Irreducible Representations of N-Extended Supersymmetry", http://arxiv.org/abs/0806.0051

Especially the hamming weight and distance - do they appear in other equations regarding physics?

My apologies if there already is a thread about this - I did search without success.
 
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this was posted few weeks back, you can see gates explaining his theory(in the QA at the end)

http://www.amnh.org/news/tag/isaac-asimov-memorial-debate/
 
Thanks!

I do wonder about the likelihood of these equations appearing within adinkras by "chance" rather as the result of any unknown "higher" function?
S.J Gates vaguely referred to matricies as the source.
 
XenonD said:
Thanks!

I do wonder about the likelihood of these equations appearing within adinkras by "chance" rather as the result of any unknown "higher" function?
S.J Gates vaguely referred to matricies as the source.

he was joking, he was referring to the Matrix movie, like we live in a computer because we are made of information.
 
Oh I thought some equations involving matricies (in an non-fictional way) were the origin of the error codes as he said he spent some months on it if I remember correctly?