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A fundamental geometry of quantum physics. (English) Zbl 0963.81043
Summary: The theory is fully and explicitly four covariant. The first quantization is complete and intrinsic. Second quantization of particles corresponds to the use of multiple metrics while the photon quantization is obtained by way of the time symmetric formalism. The interactions are finite and can be brought into agreement with gravity and electromagnetism. The Einstein structure for gravity and the Maxwell structure for electrodynamics are intrinsic. All fields are fully integrated geometrically. The incoherent matter source terms of Kaluza are replaced by quantum coherent source densities. It is an exact theory without need of a perturbation structure for its formulation. The classical limit is acceptable. Applications to astrophysics and interaction theory are expected.
MSC:
81T10 Model quantum field theories
81T20 Quantum field theory on curved space or space-time backgrounds
83E15 Kaluza-Klein and other higher-dimensional theories
85A99 Astronomy and astrophysics
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