Constraints on Space-Time-Matter Theory in the Framework of the Standard-Model Extension

Abstract

We use experimental limits on Lorentz violation within the framework of the Standard-Model Extension to derive quantitative constraints on Space-Time-Matter theory, a version of Kaluza–Klein theory in which the cylinder condition is relaxed so that four-dimensional physics can in principle depend on the extra coordinates. The extra dimensions are not necessarily compact or length-like. We find that the associated variation in fundamental quantities such as rest mass must occur slowly, on cosmological scales.

Keywords

• Kaluza–Klein theory
• large extra dimensions
• Lorentz violation
• Robertson–Mansouri–Sexl theory
• Standard-Model Extension