City Research Online

Minimal areas from q-deformed oscillator algebras

Fring, A., Gouba, L. and Bagchi, B. (2010). Minimal areas from q-deformed oscillator algebras. Journal of Physics A: Mathematical and General, 43(42), doi: 10.1088/1751-8113/43/42/425202

Abstract

On the basis of various examples we provide evidence that noncommutative spacetime involving position-dependent structure constants will give rise to deformed oscillator algebras. In turn, starting from some q-deformations of these algebras in a two-dimensional space for which the entire deformed Fock space can be constructed explicitly, we derive the commutation relations for the dynamical variables in noncommutative spacetime. We compute minimal areas resulting from these relations, i.e. finitely extended regions for which it is impossible to resolve any substructure in form of measurable knowledge. The size of the regions we find is determined by the noncommutative constant and the deformation parameter q. Any object in this type of spacetime structure has to be of membrane type or in certain limits of string type.

Publication Type: Article
Publisher Keywords: UNCERTAINTY RELATION, FIELD-THEORY, QUANTUM, LENGTH
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/770
[img]
Preview
PDF
Download (220kB) | Preview

Export

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login