Titlebook: Quantum Geometry; A Framework for Quan Eduard Prugovečki Book 1992 Springer Science+Business Media Dordrecht 1992 Minkowski space.cosmology

和平主义

Stochastic Quantum Mechanics on Phase Space,d more generally of tensor bundles over a manifold ., would be impossible to define, so that neither the Einstein’s field equations nor the geodesic postulate for free-fall motion could be formulated in their well-known form (cf. Sec. 2.7). However, as we pointed out in Sec. 1.2, at the quantum leve

EVICT

Nonrelativistic Newton-Cartan Quantum Geometries,general relativistic context will be carried out in the next and subsequent chapters. However, as a basic testing ground for these principles and ideas in general, and of the central concept of GS propagation in particular, we shall choose in this chapter the more familiar, as well as experimentally

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Relativistic Klein-Gordon Quantum Geometries,The central idea in this adaptation is to cast in the role of standard fibres for quantum bundles the Hilbert spaces that carry the systems of covariance for the Poincaré group described in Sec. 3.4. The main reason for this choice of typical fibres is that, for physical as well as mathematical reas

MEET

evaculate

Relativistic Quantum Geometries for Spin-0 Massive Fields,act, they are intrinsically unsolvable in that context, on account of the physical and mathematical reasons mentioned in Sec. 1.2, and further discussed in Sec. 7.6. Hence, the last word on this subject has to go to the acknowledged founder of relativistic quantum field theory as well as of relativi

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Relativistic Quantum Geometries for Spin-1/2 Massive Fields,he spin-0 case described in Sec. 7.1, as can be best seen from the comparative summary of the two respective procedures provided by Gibbons (1979). It is based on the curved spacetime counterpart of the Dirac equation, obtained by replacing in (6.1.13) the partial derivatives ∂. by the covariant der

Conserve

affinity

Classical and Quantum Geometries for Yang-Mills Fields,mpt to unify CGR with classical electromagnetism introduced the idea of a “gauge” field in 1918, and a decade later pinpointed U(1) as a “gauge group”. in the quantum regime (Weyl, 1929). Subsequently, O. Klein (1939) considered a non-Abelian gauge theory for the first time. However, Yang and Mills

持续

Geometro-Stochastic Quantum Gravity,structural development. Hence, some recent studies (Howard and Stachel, 1989) of the development by Einstein of classical general relativity (CGR) during the 1907–1915 period have devoted particular attention to the question as to what are the quantities that are “observable” in CGR. These studies p

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