Testable scenario for relativity with minimum length

By Giovanni Amelino-Camelia. 2000

407 citations recorded by the source corpus.

Abstract I propose a general class of spacetimes whose structure is governed by observer-independent scales of both velocity ( c ) and length (Planck length), and I observe that these spacetimes 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a2fd9ed400f07c26276f6005c728fad430192f2c

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Hawking radiation as tunneling through the quantum horizon (2005, background): “These type of modified dispersion relations have, in fact, been proposed as low-energy Quantum Gravity effects, which deform [35, 36] or break [37, 38] Lorentz symmetry (see also [39]).”
Doubly special relativity and de Sitter space (2003, unknown): “Doubly Special Relativity was initially formulated [2], [3], [11], [12] as a theory of nonlinear realization of the Lorentz symmetry on the energy-momentum space.”