Cosmology Quantized in Cosmic Time.

Weinstein, M. ; Akhoury, R.

Technical Information Center Oak Ridge Tennessee

关键词: Cosmology;    Quantization;    Anisotropy;    Background radiation;    Einstein field theory;   

RP-ID  :  DE2004826997

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

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.