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Cosmology Quantized in Cosmic Time.

DE2004826997

Publication Date	2004
Personal Author	Weinstein, M.; Akhoury, R.
Page Count	20
Abstract	This paper discusses the problem of inflation in the context of Friedmann-Robertson-Walker Cosmology. We show how, after a simple change of variables, to quantize the problem in a way which parallels the classical discussion. The result is that two of the Einstein equations arise as exact equations of motion and one of the usual Einstein equations (suitably quantized) survives as a constraint equation to be imposed on the space of physical states. However, the Friedmann equation, which is also a constraint equation and which is the basis of the Wheeler-deWitt equation, acquires a welcome quantum correction that becomes significant for small scale factors. We discuss the extension of this result to a full quantum mechanical derivation of the anisotropy ((delta) (rho)/(rho)) in the cosmic microwave background radiation, and the possibility that the extra term in the Friedmann equation could have observable consequences.
Keywords	Cosmology Quantization Anisotropy Background radiation Einstein field theory Equations of motion Minkowski space Universe Wavelength
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Stanford Linear Accelerator Center, CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200514

Cosmology Quantized in Cosmic Time.

Cosmology Quantized in Cosmic Time.
DE2004826997

Publication Date	2004
Personal Author	Weinstein, M.; Akhoury, R.
Page Count	20
Abstract	This paper discusses the problem of inflation in the context of Friedmann-Robertson-Walker Cosmology. We show how, after a simple change of variables, to quantize the problem in a way which parallels the classical discussion. The result is that two of the Einstein equations arise as exact equations of motion and one of the usual Einstein equations (suitably quantized) survives as a constraint equation to be imposed on the space of physical states. However, the Friedmann equation, which is also a constraint equation and which is the basis of the Wheeler-deWitt equation, acquires a welcome quantum correction that becomes significant for small scale factors. We discuss the extension of this result to a full quantum mechanical derivation of the anisotropy ((delta) (rho)/(rho)) in the cosmic microwave background radiation, and the possibility that the extra term in the Friedmann equation could have observable consequences.
Keywords	Cosmology Quantization Anisotropy Background radiation Einstein field theory Equations of motion Minkowski space Universe Wavelength
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Stanford Linear Accelerator Center, CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200514