Golden mean in quantum geometry, knot theory and related topics

摘要

The note summarizes some very recent and other not so well known results related to the Golden Mean, φ, in theoretical physics. The subjects considered are knot theory, Noncommutative Geometry, four manifolds, Cantorian spacetime and quasi crystallography. The involvement of the Golden Mean in these subjects is seen as an indication for an underlaying coherent unity and unsuspected deep relationship which exists between various disciplines in physics and which may appear when examined superficially to be unrelated although it is deeply related.