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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 13: Quantum Field Theory

MP 13.3: Vortrag

Donnerstag, 18. März 2010, 15:50–16:15, JUR H

Deducing the three gauge interactions from the three Reidemeister moves — •Christoph Schiller — München

We give one of the first known arguments for the origin of the three observed gauge groups. The argument is based on modelling nature at Planck scales as a collection of featureless strands that fluctuate in three dimensions. This approach models vacuum as untangled strands and particles as tangles of strands.

Modelling vacuum as untangled strands implies the field equations of general relativity, when applying an argument from 1995 to the thermodynamics of strands. Modelling fermions as tangles of two or more strands allows to define wave functions as time-averages of strand crossings; using an argument from 1980, this allows to deduce the Dirac equation.

When modelling fermions as tangled strands, gauge interactions appear naturally as deformation of tangle cores. The three possible types of observable core deformations are given by the three Reidemeister moves. They naturally lead to a U(1), a broken and parity-violating SU(2) and a SU(3) gauge group.

The model is unique, is unmodifiable, is consistent with all known data, and makes numerous testable predictions, including the absence of other interactions, of grand unification and of higher dimensions. A method for calculating coupling constants seems to appear naturally.

The page www.motionmountain.net/research provides additional details.