Loop quantum gravity
Current research on loop quantum gravity may eventually play a
fundamental role in a Theory of Everything [ToE], but that is not its primary aim. Also loop quantum gravity
introduces a lower bound on the possible length scales.
There have been recent claims that loop
quantum gravity may be able to reproduce features resembling the Standard
Model.
So far only the first generation of fermions (leptons and quarks) with correct parity
properties have been modelled by Sundance Bilson-Thompsonusing preons constituted of braids of
spacetime as the building blocks.However, there is no
derivation of the Lagrangian that would describe the
interactions of such particles, nor is it possible to show that such particles
are fermions, nor that the gauge groups or interactions of the Standard Model
are realized. Utilization of quantum
computing concepts made it possible to demonstrate that
the particles are able to survive quantum fluctuations.
This model leads to an interpretation of
electric and color charge as topological quantities (electric as number and
chirality of twists carried on the individual ribbons and color as variants of
such twisting for fixed electric charge).
Bilson-Thompson's original paper suggested
that the higher-generation fermions could be represented by more complicated
braidings, although explicit constructions of these structures were not given.
The electric charge, colour, and parity properties of such fermions would arise
in the same way as for the first generation. The model was expressly
generalized for an infinite number of generations and for the weak force bosons
(but not for photons or gluons) in a 2008 paper by Bilson-Thompson, Hackett,
Kauffman and Smolin.[By Akhand Pratap Singh xth 2013 aps]
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