On the distance observable in the Moyal plane and in a novel two-dimensional space with string-theory pregeometry

Details On the distance observable in the Moyal plane and in a novel two-dimensional space with string-theory pregeometry On the distance observable in the Moyal plane and in a novel two-dimensional space with string-theory pregeometry

2008-12-15

arxiv.org/abs/0812.2675v2

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 18 pages. Version 2: minor editing of text

Scientific paper

Motivation for the study of spacetime noncommutativity comes primarily from its possible use in investigations of (Planck-scale) spacetime fuzziness, but most work focuses on S-matrix/field-theory observables and still very little has been established for geometric observables. We argue that it might be useful to exploit the "pregeometric" formulation of spacetime noncommutativity, which in particular describes the coordinates of the Moyal plane in terms of the phase-space coordinates of a point particle "living" in a auxiliary/fictitious spacetime ($\{x_1,x_2\}_{Moyal} \equiv \{q,p\}_{particle}$). This leads us straightforwardly to a distance operator for the Moyal plane, and allows us to expose some limitations of a previous attempt to describe the "area of a disc" in the Moyal plane. We also observe that from our pregeometric perspective it is rather natural to contemplate a spacetime whose pregeometric picture is based on the phase-space coordinates (fields) of a string. The fact that such "stringspaces" essentially provide spacetime points with extendedness is relevant for the fuzziness of geometric spacetime observables in ways that we preliminarily characterize through an analysis of the distance observable on a two-dimensional stringspace and through the observation that by implementing the Amati-Ciafaloni-Veneziano/Gross-Mende uncertainty relation in the phase space of the pregeometric string one could have stringspaces with a novel type of fuzzy coordinates.

Affiliated with

Also associated with

No associations

Rating

On the distance observable in the Moyal plane and in a novel two-dimensional space with string-theory pregeometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the distance observable in the Moyal plane and in a novel two-dimensional space with string-theory pregeometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the distance observable in the Moyal plane and in a novel two-dimensional space with string-theory pregeometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-348192