Noncommutative quantum cosmology

• Type: Article in International Conference Proceedings Book
• Date: 2009

Authors

Bastos, C (Author) Other; Bertolami, O (Author) Other; Dias, NC (Author) Other; Prata, JN (Author) Other

Conference proceedings International

Title: FOURTH INTERNATIONAL WORKSHOP DICE 2008: FROM QUANTUM MECHANICS THROUGH COMPLEXITY TO SPACETIME: THE ROLE OF EMERGENT DYNAMICAL STRUCTURES

Final page: 012053

4th International Workshop on Decoherence, Information, Complexity and Entropy (DICE) - From Quantum Mechanics through Complexity to Spacetime - The Role of Emergent Dynamical Structures

Tuscany, ITALY, SEP 22-26, 2008

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 9 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-003-Q4F

DOI: 10.1088/1742-6596/174/1/012053

Abstract (EN): We present a phase-space noncommutative extension of Quantum Cosmology in the context of a Kantowski-Sachs (KS) minisuperspace model. We obtain the Wheeler-DeWitt (WDW) equation for the noncommutative system through the ADM formalism and a suitable Seiberg-Witten map. The resulting WDW equation explicitly depends on the phase-space noncommutative parameters, theta and eta. Numerical solutions of the noncommutative WDW equation are found and, interestingly, also bounds on the values of the noncommutative parameters. Moreover, we conclude that the noncommutativity in the momenta sector leads to a damped wave function implying that this type of noncommutativity can be relevant for a selection of possible initial states for the universe.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8