The "Third Road"

Kea

He did not. He said, God does not play dice. Everybody else has to, though.

marcus

another arxiv posting by our own PF "Nemo"

http://arxiv.org/abs/hep-th/0703238

one of several about Jordan algebras

Kea

Indeed, Marcus. This should provide interesting reading for anyone interested in Black Holes.

marcus

http://arxiv.org/abs/0704.0646
The Mathematical Universe
Max Tegmark

Abstract: "I explore physics implications of the External Reality Hypothesis (ERH) that there exists an external physical reality completely independent of us humans. I argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH) that our physical world is an abstract mathematical structure. I discuss various implications of the ERH and MUH, ranging from standard physics topics like symmetries, irreducible representations, units, free parameters and initial conditions to broader issues like consciousness, parallel universes and Godel incompleteness. I hypothesize that only computable and decidable (in Godel's sense) structures exist, which alleviates the cosmological measure problem and help explain why our physical laws appear so simple. I also comment on the intimate relation between mathematical structures, computations, simulations and physical systems."

I was going to let this one pass, but Demy flagged it so I'll put it up.

setAI

thanks Marcus- nice to see Max T pushing his IMNSHO very important Multiverse ideas further-

Kea

Just a reminder that the neutrino mass predictions are available on Carl's website at

http://carlbrannen.blogspot.com/

marcus

Kea, is this of interest to "Third-roadies"?
Scott Morrison is an Australian who just did his PhD in Berkeley under Vaughn Jones.
http://arxiv.org/abs/0704.1503
It is about describing all representations of the Quantum Group SL_n
and in particular he confirms a conjecture of Kim about the quantum
LieAlgebra sl₄
He handles the problem catty-functishly.
He also cites Wikipedia articles in his PhD thesis bibliography which seems to me like an Australian thing to do. It struck me as good and cheerful work.
Greg Kuperberg supplied the problem (UC Davis is only 50 miles northwards up the pike). I would be pleased if you told me that Scott's thesis might be of some worldly (physical) good.

Kea

Why, thanks, Marcus. Yes, I highly recommend Scott's work. Actually, I met Scott in Taipa in the north island last year. He came with Vaughn Jones and Mike Freedman and gang for a kiwi maths conference with a lot of quantum computation lectures. I learnt a lot.