A Canonical Quantization formalism of curvature squared action

2009/01/16 by Mahgoub Salih, Salih, Mahgoub · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0901.2548

39 pages,4 fiures

arxiv created 2009/01/16 · arxiv updated 2009/12/01

Abstract

The generalized Einstein action is treated quantum mechanically by using a quadratic lagrangian form. The canonical quantization of this action is obtained by using the auxiliary variable to define the generalized momentum. Physical constraints are imposed on the surface term, which is defined to be the cosmological constant. One obtains the familiar Wheeler-de Witt equation. The solution of this equation is in conformity with General Relativity (GR) .In addition to the fact that it is free from GR setbacks at the early universe, since it gives time decaying cosmological constant. The wave function of the universe and the cosmic scale factor are complex quantities, which indicates the existance of quantum effects.2.7k, CBR temperature is calculated.

Citations

• Quantum Mechanical Formulation Of Quantum Cosmology For Brane-World Effective Action

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