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Noncommutative quantum cosmology.

H García-Compeán¹, O Obregón, C Ramírez

¹Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, P.O. Box 14-740, 07000, México D.F., México. compean@fis.cinvestav.mx

Physical Review Letters

|April 17, 2002

Summary

We introduce a new model for noncommutative quantum cosmology. This model reveals novel quantum states and potential tunneling, unlike traditional commutative approaches.

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Area of Science:

* Theoretical Physics
* Quantum Cosmology
* Noncommutative Geometry

Background:

* The standard model of cosmology relies on commutative geometry.
* Minisuperspace models are crucial for quantum cosmology.
* The Kantowski-Sachs metric is a relevant cosmological model.

Purpose of the Study:

* To develop a noncommutative quantum cosmology model.
* To investigate quantum states within this new framework.
* To explore potential cosmological phenomena like tunneling.

Main Methods:

* Deformation of the minisuperspace.
* Exact solution for the Kantowski-Sachs metric wave function.
* Construction of wave packets.

Main Results:

* Exact wave function found for the noncommutative Kantowski-Sachs model.
* Emergence of competing quantum states, unlike the commutative case.
* Identification of potential quantum tunneling between these states.

Conclusions:

* Noncommutative geometry introduces novel quantum states in cosmology.
* The proposed model offers a new perspective on the early universe.
* Quantum tunneling may play a role in noncommutative cosmological evolution.

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