Thursday, June 16, 2005

Solutions and Signatures

Permit me to take a brief break from doing the new paper dance as first seen performed by The Quantum Pontiff, to make some comments. (By the way, make sure you check out Mr. Bacon's link to footage from the 1927 Solvay conference: Dirac, Bohr, Heisenberg, Pauli, Schrodinger, Lorentz, Einstein, Curie and many more all in two sparse minutes of fascinating footage.) For indeed I have a new paper out today, cowritten with Peter West:

Title: M-Theory Solutions in Multiple Signatures from E_11
Authors: P. P. Cook, P. C. West
Comments: 34 pages, LaTeX2e

I think "LaTeX2e" is a fairly uninteresting comment, but it isn't the done thing to make interesting comments in this section. I won't make many comments here either, as those who are interested can read the paper in their own time. In the paper we apply Keurentjes' observation's that Weyl reflections alter the signature of the local sub-algebra generators to the solution generating group element of E_11/H_11, mentioned here previously. Principally, we find that any solution of a (1,10) theory coexists with solutions in (2,9), (5,6) and their inverses. These are Hull's M* and M'-theories. It is a puzzle, beyond the scope of the paper, to understand how so many M-theories might all fit together.

Now I am free to think about other problems, and for a trainee theoretical physicist there are many, and to try and work out just how many ways there of constructing an N element string using only the two elements {A,B} such that no substring has a difference of more than three between the numbers of A's and B's in it.

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