Quantum Variation about Geodesics

Quantum Variation about Geodesics 
Simon Davis 
Research Foundation of Southern California 8837 La Jolla Village Drive #13595 La Jolla, CA 92039  
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.

KEYWORDS:

Geodesic congruence, caustics, quantum variations MSC: 34C40, 49S05, 53C22 

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