Quantized Cosmology
Marvin Weinstein, Ratin Akhoury

TL;DR
This paper presents a quantization approach to cosmology that modifies the Friedmann equation with quantum corrections, potentially impacting observable cosmic microwave background anisotropies and offering insights into inflation.
Contribution
It introduces a novel quantization method that preserves classical equations as quantum operators and reveals significant quantum corrections to the Friedmann equation.
Findings
Quantum correction to Friedmann equation significant at small scale factors
Potential observable effects on cosmic microwave background anisotropies
Framework applicable to studying chaotic and eternal inflation
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, one can 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 () in the cosmic microwave background radiation, and the possibility that the extra term in the Friedmann…
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Taxonomy
TopicsRelativity and Gravitational Theory · Cosmology and Gravitation Theories · Advanced Mathematical Theories and Applications
