New variables for classical and quantum gravity

Statistics – Applications

Scientific paper

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Gravitation Theory, Hamiltonian Functions, Quantum Theory, Relativity, Yang-Mills Theory, Imbeddings, Spinor Groups

Scientific paper

A Hamiltonian formulation of general relativity based on certain spinorial variables is introduced. These variables simplify the constraints of general relativity considerably and enable one to imbed the constraint surface in the phase space of Einstein's theory into that of Yang-Mills theory. The imbedding suggests new ways of attacking a number of problems in both classical and quantum gravity. Some illustrative applications are discussed.

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