On the definition of velocity in theories with two observer-independent scales

2003/02/10 by S. Mignemi · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Observer (physics) #Physics #Quantum mechanics #Statistical physics #Theoretical physics #Theory of relativity #hep-th

paper · pdf · doi:10.1016/s0375-9601(03)01176-9

published as Phys.Lett. A316 (2003) 173-176 · 6 pages, plain LaTeX

arxiv created 2003/02/10 · openalex publication_date 2003/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We argue that a consistent definition of the velocity of a particle in generalizations of special relativity with two observer-independent scales should be independent from the mass of the particle. This request rules out the definition v_i=∂ p₀/∂ p_i, but allows for other definitions proposed in the literature.

Citations

• Testable scenario for relativity with minimum length
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale

Cited by

• PHENOMENOLOGY OF DOUBLY SPECIAL RELATIVITY
• Locality and the relativity principle beyond special relativity
• Transformations of coordinates and Hamiltonian formalism in deformed special relativity