Minimum Length - Maximum Velocity
arXiv:1112.3753 · doi:10.1140/epjc/s10052-012-1930-4
Abstract
We study a framework where the hypothesis of a minimum length in space-time is complemented with the notion of reference frame invariance. It turns out natural to interpret the action of the obtained reference frame transformations in the context of doubly special relativity. As a consequence of this formalism we find interesting connections between the minimum length properties and the modified velocity-energy relation for ultra-relativistic particles. For example we can predict the ratio between the minimum lengths in space and time using the results from OPERA about superluminal neutrinos.
12 pages + references, 1 eps figure. V2: one reference added, Eq. (10) fixed, mild modification of introduction and some comments added in sections 2 and 5. V3: one extra paragraph added at the end of section 2, final version published in EPJC
References in corpus (6)
- Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam
- Interpretation of Quantum Field Theories with a Minimal Length Scale
- Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
- Planck-scale Lorentz violation constrained by Ultra-High-Energy Cosmic Rays
- A Note on Quantum Field Theories with a Minimal Length Scale
- Deformed Special Relativity in Position Space