Nimas 'new' talk (from 2.5.) with many new ideas. "You can identify everything in 3-D space" and he says infinities are important.
Spacetime, Quantum Mechanics and Scattering Amplitudes
sun 22.5. Matti has written a new chap. Motives and Infinite Primes.
Infinite primes, integers, and rationals form a hierarchy completely analogous to a hierarchy of second quantization for a super-symmetric arithmetic quantum field theory.
May 16, 2011: The Kinematic Algebra From the Self-Dual Sector.
Ricardo Monteiro and Donal O'Connell, arXiv:1105.2565
KITP Informal Discussion, So I must look what it could be.
We identify a di ffeomorphism Lie algebra in the self-dual sector of Yang-Mills theory, and show that it determines the kinematic numerators of tree-level MHV amplitudes in the full theory. These amplitudes can be computed o ff-shell from Feynman diagrams with only cubic vertices, which are dressed with the structure constants of both the Yang-Mills colour algebra and the diffeomorphism algebra. Therefore, the latter algebra is the dual of the colour algebra, in the sense suggested by the work of Bern, Carrasco and Johansson. We further study perturbative gravity, both in the self-dual and in the MHV sectors, nding that the kinematic numerators of the theory are the BCJ squares of the Yang-Mills numerators.
Introduction: A deeper study reveals concrete relationships between gauge and gravity scattering amplitudes. Early in the first heyday of string theory, Kawai, Lewellen and Tye (KLT) derived a relation, valid in any number of dimensions, expressing any closed string tree amplitude in terms of a sum of products of two open string tree amplitudes . Taking the field theory limit of the string amplitudes, these KLT relations imply in particular that any graviton scattering amplitude can be expressed in terms of a sum of products of colour ordered gluon scattering amplitudes.
A more insightful \squaring" relationship between gauge theory and gravity amplitudes was conjectured recently by Bern, Carrasco and Johansson (BCJ) , and then proven by Bjerrum-Bohr, Damgaard, and Vanhove  and by Stieberger . These authors have shown that scattering amplitudes in gravity can be obtained from Yang-Mills scattering amplitudes, expressed in a suitable form, by a remarkably simple squaring procedure.
 H. Kawai, D. C. Lewellen, S. H. H. Tye, Nucl. Phys. B269, 1 (1986).
 Z. Bern, J. J. M. Carrasco, H. Johansson, Phys. Rev. D78 (2008) 085011. [arXiv:0805.3993 [hep-ph]].
 N. E. J. Bjerrum-Bohr, P. H. Damgaard, P. Vanhove, Phys. Rev. Lett. 103, 161602 (2009). [arXiv:0907.1425 [hep-th]].
 S. Stieberger, [arXiv:0907.2211 [hep-th]].
 T. Sondergaard, Nucl. Phys. B821, 417-430 (2009). [arXiv:0903.5453 [hep-th]].
 N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, JHEP 1006, 003 (2010) [arXiv:1003.2403 [hep-th]].
KITP talks, many of them.
"Cubic Feynman diagrams appear quite naturally in the self-dual sectors." Fits nicely with Wilzcek too. In fact TGD has also these.
"On the gravitational side, we have seen how to compute MHV amplitudes from cubic diagrams in light-cone gauge" they say, up to a mild assumption about the behaviour of the higher terms in the gravitational light-cone Lagrangian. The fact that the BCJ relations hold (at least on-shell) for all graviton amplitudes suggests that there is some cubic theory which can be used to compute these amplitudes."
They don't say quaternion?
They talk of "the self-dual Yang-Mills (SDYM) equations in Minkowski spacetime". Is that ZEO?
Seems the fantastic castle is crushing down? All the many different dimensions were simply illusions?
Why not look at TGD? What is so disgusting with it?
SciMeter.org: A new tool for arXiv users
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