6533b7d1fe1ef96bd125c076

RESEARCH PRODUCT

Fibre Bundle for Spin and Charge in General Relativity

Kenichi Horie

subject

Connection (fibred manifold)PhysicsGeneral relativityStatistical and Nonlinear PhysicsFour-forceDirac operatorMathematics of general relativitysymbols.namesakeTheory of relativityClassical mechanicssymbolsFiber bundleMathematical PhysicsCausal fermion system

description

The Lorentzian and spin structures of general relativity are shown to allow a natural extension, by means of which the set of possible electromagnetic bundles is linked to the topology and geometry of the underlying causal structure. Further, both the Dirac operator and the electromagnetic potential are obtainable from a single linear connection 1-form.

https://doi.org/10.1007/s002200050021