Article,

Quantum Variation about Geodesics

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Applied Mathematics and Sciences: An International Journal (MathSJ), 2 (1): 01-15 (March 2015)

Abstract

The caustic that occur in geodesics in space-times which are solutions to the gravitational field equations with the energy-momentum tensor satisfying the dominant energy condition can be circumvented if quantum variations are allowed. An action is developed such that the variation yields the field equations and the geodesic condition, and its quantization provides a method for determining the extent of the wave packet around the classical path.

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