An Article Review The paper entitled “Fuzzy multi-instanton knots in the fabric of space–time and Dirac’s vacuum fluctuation” by M.S. El Naschie presents a fuzzy multi-instanton and knot theory for modeling vacuum fluctuation. The paper aims to argue for a non-conventional view point that instantons, as well as their expectation number, may be put in direct connection with the 8064 particle-like state at ultra high energy as well as being the precursor for the particles of the standard model…
He points out that “The tying of a knot in the rope shortens the end to end length.” As such, this reduction can be used to measure the so called open thickness energy of knots. Apparently, there is an “incredible correlation” between this ‘energy and particle physics as explained in the text. He points the reader towards the direction that for knot 818 the energy is 69, which is the number of particles in He’s 10-dimensional polytope. This work stresses that exceptional Lie symmetry groups as well as knot are the elementary building blocks of high energy particle physics. The author has apparently shown the intimate relationship between instantons, vacuum fluctuation and the elementary particles spectrum of Heterotic strings and similar theories. He further attempts to establish that the agreement between the number of distinct knots for certain crossing numbers and the number of particle-like states is a very strong evidence for the deep relation between physics on the one side and Lie symmetry groups and knot theory on the other. ...
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