The mystery of the Kerr–Newman metric

Abstract

Abstract Though the Kerr–Newman metric which represents the field of a charged spinning black hole was deduced by Newman decades ago by introducing complex coordinates, the physical motivation has remained a mystery, as also the fact that this metric infact represents also the field of the electron including the purely Quantum Mechanical gyromagnetic ratio g=2. These two circumstances were characterized by Newman as an accident. In this note, we argue on the other hand that Newman's complexification is infact symptomatic of the fuzzy nature of the space time at the micro scale which can be described by a non-commutative geometry, which would also explain why the Kerr–Newman metric describes the field of the Quantum Mechanical electron. From these considerations, we argue that a time varying gravitational constant is implied, which apart from other things, explains the otherwise inexplicable anomalous accelerations of the Pioneer spacecrafts.