Fractal Foundation of Quantum Spin

Abstract

We have shown over recent years that the dynamics of quantum fields is likely to slide outside equilibrium above the Fermi scale of electroweak interactions. In proximity to this scale, spacetime dimensionality flows with the probing energy and leads to the concept of minimal fractal manifold (MFM). It is known that modeling the physics on fractal manifolds requires use of fractional differential and integral operators.  Here we show that deploying such operators on the MFM adds a non-vanishing correction to the standard orbital momentum, which can be identified with quantum spin. Our analysis paves the way towards a deeper understanding of the relationship between spin and several phenomenological aspects of quantum field theory (QFT).