Modified general relativity and quantum theory in curved spacetime

With appropriate modifications, the multi-spin Klein–Gordon (KG) equation of quantum field theory can be adapted to curved space–time for spins 0, 1, 1/2. The associated particles in microworld then move as a wave at all coordinates. From existence Lorentzian line element [Formula: see text], spin-1 KG text] is derived from an action functional involving and its covariant derivative. spin-0 outer product spin-1/2 Dirac spinor Hermitian conjugate are constructed. Thus, acts fundamental vector field. symmetric part equation, Lie derivative metric. That links Modified General Relativity (MGR) through energy–momentum tensor gravitational invariance functionals under diffeomorphism group Diff(M), which not restricted Lorentz group, instantaneously transmit information along text]. establishes concept entanglement within formalism. respective local/nonlocal characteristics MGR no longer present insurmountable problem unify theories.