Extra, Extra II
Motl continues with updates on the Bagger-Lambert (ie. 3 is better than 2) M theory revolution, noting three new papers including this one on a SUSY preserving matrix theory deformation of the Bagger-Lambert action which breaks the symmetry to .
posted by Kea | 6:34 PM
3 Comments:
The report of Lubos about the paper brings strongly in mind the hierarchy of Jones inclusions for which the phase exp(i2pi/n) corresponds to n = k+2 parametrized by subgroups of SU(2): not all subgroups are possible.
In TGD framework this would correspond to the realization of the hierarchy of Planck constants obtained by the generalization of the imbedding space obtained by gluing together a hierarchy of orbifolds constructed as products of orbifolds obtained from M^4 and CP_2 by dividing with a subgroup of SU(2).
At the limit n--> infty Z_n invariance effectively reduces dimension by 1 (11-->10 leading from M-theory to super string theory and stringy context). In TGD this means singletness with respect to spin or color isospin.
The generalization of imbedding space involves also singular coverings of M^4 and CP_2 factors and at n--> infty limit this would give rise to an additional dimension effectively. In stringy context this could correspond to transition 11-->12 from M-theory to F-theory.
TGD picture would obviously suggest a considerable generalization of the results.
Hi Matti. Thanks for the interesting remarks. Let us know if any string theorists email you about TGD.
Dear Kea,
I am afraid this will not happen! The world of science is a class society and I belong to the lowest possible class that one can imagine;-).
By the way, the articulation for what "dark" means in TGD Universe is very simple now. "Relative darkness" is the proper notion. Relatively dark particles live in different sectors of the imbedding space and thus can have different Planck constants. Obviously, they cannot appear in the same vertex of Feynman diagram.
Exchanged particles can however tunnel between different sectors (phase transition) and also the fluxes of classical fields can flow between different sectors giving rise to classical em, gravitational, etc interactions.
To my best understanding this is consistent with what is believed to be known about dark matter since long range electromagnetic field are not believed to be important in astrophysical length scales.
Even more, the strange anomalies of cellular biology can be understood if a considerable portion of biologically important ions are in large Planck constant phase and thus dark relative to ordinary ions but behaving like ordinary ions as far classical electric fields are considered.
The corresponding ionic currents could be Josephson currents flowing along magnetic flux tubes: no pumping and channelling would be needed since Josephson currents flow without dissipation and would be oscillatory. One could understand the observed quantal character of the ionic currents and the fact that the currents are same for artificial membranes as for cell membrane.
Only ordinary ions would require pumping and channelling and only minor part of cellular metabolism would go to the pumping as indeed observed (cells suffering metabolic deprivation continue to function).
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