Revisiting Legendre transformations in Finsler geometry
arXiv:2208.11406 · doi:10.1142/S021988782450155X
Abstract
We discuss the conditions for mapping the geometric description of the kinematics of particles that probe a given Hamiltonian in phase space to a description in terms of Finsler geometry (and vice-versa).
arXiv comment23+2 pages, 2 figures. Version with examples, improved discussion of the results, inclusion of an appendix, typos fixed. Matches published version. Updated Journal information
References in corpus (22)
- Quantum Spacetime Phenomenology
- Planck-scale modified dispersion relations and Finsler geometry
- Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
- Finsler spacetime geometry in Physics
- Hamilton geometry: Phase space geometry from modified dispersion relations
- Realization of DSR-relativistic symmetries in Finsler geometries
- Geometry of physical dispersion relations
- Investigation on Finsler geometry as a generalization to curved spacetime of Planck-scale-deformed relativity in the de Sitter case
- Finsler pp-waves
- Curved spacetimes with local -Poincaré dispersion relation
- Reaching the Planck scale with muon lifetime measurements
- Planck-scale-modified dispersion relations in homogeneous and isotropic spacetimes
- Deformed relativity symmetries and the local structure of spacetime
- Redshift and lateshift from homogeneous and isotropic modified dispersion relations
- Mathematical foundations for field theories on Finsler spacetimes
- Rainbows without unicorns: Metric structures in theories with Modified Dispersion Relations
- Observers' measurements in premetric electrodynamics I: Time and radar length
- Quantum Configuration and Phase Spaces: Finsler and Hamilton Geometries
- Two-body decays in deformed relativity
- Modified particle lifetimes as a signature of deformed relativity
- Trajectories of astroparticles in pseudo-Finsler spacetime with the most general modified dispersion
- Muon accelerators -- Muon lifetime measurements as window to Planck scale physics