5 Dimensional Spacetime with q-deformed Extra Space
S.Naka, H.Toyoda
TL;DR
This paper explores a 5-dimensional spacetime model with q-deformed extra dimensions, leading to non-commutative geometry and an ultraviolet cutoff effect, which could influence particle mass structures.
Contribution
It introduces a novel q-deformation in a Randall-Sundrum type spacetime, creating a non-commutative geometry with potential implications for particle mass spectra.
Findings
Ultraviolet cutoff effect observed in particle propagators.
Non-commutative spacetime coordinates due to q-deformation.
Boundary-free fifth dimension with elastic potential.
Abstract
An attempt to get a non-trivial-mass structure of particles in a Randall-Sundrum type of 5-dimensional spacetime with q-deformed extra dimension is discussed. In this spacetime, the fifth dimensional space is boundary free, but there areises an elastic potential preventing free motion toward the fifth direction. The q-deformation is, then, introduced in such a way that the spacetime coordinates become non-commutative between 4-dimensional components and the fifth component. As a result of this q-deformation, there arises naturally an ultraviolet-cutoff effect for the propagators of particles embedded in this spacetime.
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