Abstract
Without the mass-energy equivalence available on Minkowski spacetime M, it is not possible on 4-dimensional non-relativistic Galilei/Newton spacetime G to combine 3-momentum and total mass-energy in a single tensor object. However, given a fiducial frame, it is possible to combine 3-momentum and kinetic energy into a linear form (particle) or (1, 1) tensor (continuum) in a manner that exhibits increased unity of classical mechanics on flat relativistic and non-relativistic spacetimes M and G. As on M, for a material continuum on G, the first law of thermodynamics can be considered a consequence of a unified dynamical law for energy-momentum rather than an independent postulate.
| Original language | English |
|---|---|
| Article number | 1775 |
| Pages (from-to) | 1-13 |
| Number of pages | 13 |
| Journal | Symmetry |
| Volume | 12 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2020 |
Funding
Funding: This work was supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under contract number DE-AC05-00OR22725. This work was supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under contract number DE-AC05-00OR22725.
| Funders | Funder number |
|---|---|
| Office of Nuclear Physics | |
| U.S. Department of Energy | |
| Office of Science | |
| Nuclear Physics | DE-AC05-00OR22725 |
Keywords
- Continuum mechanics
- First law of thermodynamics
- Fluid dynamics
- Galilei invariance
- Lorentz invariance
- Spacetime