Gauge Gravitation Theory. What is the Geometry of the World

作者: G. Sardanashvily

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摘要: When joined the unified gauge picture of fundamental interactions, gravitation theory leads to geometry a space-time which is far from simplicity pseudo-Riemannian Einstein's General Relativity. This affine-metric composite dislocated manifolds. The goal modification familiar equations gravitational field and entirely new its deviations. In present brief, we do not detail mathematics, but discuss reasons why it just this geometry. major physical underlying reason lies in spontaneous symmetry breaking when fermion matter admits only Lorentz subgroup world symmetries geometric arena.

参考文章(12)
B. A. Kupershmidt, Geometry of jet bundles and the structure of lagrangian and hamiltonian formalisms Lecture Notes in Mathematics. ,vol. 775, pp. 162- 218 ,(1980) , 10.1007/BFB0092026
G. A. Sardanashvily, Gauge theory in jet manifolds Hadronic Press. ,(1993)
Roberto Percacci, Geometry of nonlinear field theories ,(1986)
D. J. Saunders, The Geometry of Jet Bundles ,(1989)
G. Sardanashvily, Multimomentum Hamiltonian Formalism arXiv: High Energy Physics - Theory. ,(1994)
G. Sardanashvily, Hamiltonian Field Systems on Composite Manifolds arXiv: High Energy Physics - Theory. ,(1994)
Peter W Michor, Ivan Kolář, Jan Slovák, None, Natural operations in differential geometry ,(1993)
Gennadi A. Sardanashvily, Multimomentum Hamiltonian Formalism in Quantum Field Theory International Journal of Theoretical Physics. ,vol. 33, pp. 2365- 2379 ,(1994) , 10.1007/BF00673962