Derivation of the Ten Einstein Field Equations from the Semiclassical Approximation to Quantum Geometrodynamics
- 25 January 1969
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 177 (5) , 1929-1941
- https://doi.org/10.1103/physrev.177.1929
Abstract
All ten Einstein field equations are derived from (a) a single equation, the Einstein-Hamilton-Jacobi equation for general relativity, and (b) the principle of constructive interference of de Broglie waves in superspace. In this derivation one obtains by introducing Tomonaga's many-time parametrization the manifestly covariant Hamiltonian equations of general relativity.Keywords
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