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arXiv · 0704.1289

Brane-world Quantum Gravity

M. D. Maia·Nildsen Silva·M. C. B. Fernandes
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Abstract

The Arnowitt-Deser-Misner canonical formulation of general relativity is extended to the covariant brane-world theory in arbitrary dimensions. The exclusive probing of the extra dimensions makes a substantial difference, allowing for the construction of a non-constrained canonical theory. The quantum states of the brane-world geometry are defined by the Tomonaga-Schwinger equation, whose integrability conditions are determined by the classical perturbations of submanifolds contained in the Nash's differentiable embedding theorem. In principle, quantum brane-world theory can be tested by current experiments in astrophysics and by near future laboratory experiments at Tev energy. The implications to the black-hole information loss problem, to the accelerating cosmology, and to a quantum mathematical theory of four-sub manifolds are briefly commented.

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M. D. Maia, Nildsen Silva, M. C. B. Fernandes. 2007-04-10. Brane-world Quantum Gravity. https://doi.org/10.1088/1126-6708%2F2007%2F04%2F047

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