Grassmann algebraic field theory, entanglement and fermionic hidden clocks

Abstract

With Grassmann algebra as fermions in a Feynman path-integral approach to field theory, the quantum correlation can be recovered. This means that a quantum field of Grassmann variables can explain the entanglement. In turn, this agrees with Einstein's ideas of field theory and local principles. Moreover, Grassmann variables can refer to an empirical reality like e.g. in QCD. Hence, a possible but still fictitious fermionic field in conjunction with the previously introduced hidden clocks as Einstein variables, likely describes this empirical reality.