### Abstract

Ashtekar-Wheeler-DeWitt Equation for quantized coupled gravitational and scalar fields is considered, together with its expansion in terms of a dimensionless parameter which is the ratio of the "typical" total potential energy density to the Planck energy density. Conditions favourable to the inflationary scenario are derived, and the correspondence between inflationary states and perturbations of the exact Chern-Simons State for quantum gravity in 4-dimensions are discussed. If certain conditions are satisfied, the Ashtekar-Wheeler-DeWitt equation reduces to a Schrodinger Equation which describes quantized scalar field which evolves with respect to a Schwinger-Tomonaga time which increases with the volume of the universe in an inflationary universe with approximate de Sitter metric.

Original language | English |
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Title of host publication | The Tenth Marcel Grossmann Meeting |

Subtitle of host publication | On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories |

Publisher | World Scientific Publishing Co. |

Pages | 2307-2309 |

Number of pages | 3 |

Volume | 3 |

ISBN (Electronic) | 9789812704030 |

ISBN (Print) | 9789812566676 |

DOIs | |

Publication status | Published - 2006 Jan 1 |

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

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## Cite this

*The Tenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories*(Vol. 3, pp. 2307-2309). World Scientific Publishing Co.. https://doi.org/10.1142/9789812704030_0323