Testable scenario for relativity with minimum length

2000/12/26 by Giovanni Amelino-Camelia · 27 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Physics #Theoretical physics #Theory of relativity #hep-th

paper · pdf · doi:10.1016/s0370-2693(01)00506-8

published as Phys.Lett. B510 (2001) 255-263 · 10 pages, LaTex

arxiv created 2000/12/26 · openalex publication_date 2001/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

I propose a general class of space-times whose structure is governed by observer-independent scales of both velocity (c) and length (Planck length), and I observe that these space-times can naturally host a modification of FitzGerald-Lorentz contraction such that lengths which in their inertial rest frame are bigger than a "minimum length" are also bigger than the minimum length in all other inertial frames. With an analysis in leading order in the minimum length, I show that this is the case in a specific illustrative example of postulates for Relativity with velocity and length observer-independent scales.

Citations

• Zero-Brane Quantum Mechanics
• D-branes and short distances in string theory
• Limits to Quantum Gravity Effects on Energy Dependence of the Speed of Light from Observations of TeV Flares in Active Galaxies
• A time varying speed of light as a solution to cosmological puzzles
• Nonstandard optics from quantum space-time

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