Combining 3-Momentum and Kinetic Energy on Galilei/Newton Spacetime
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
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.
- Research Organization:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Grant/Contract Number:
- AC05-00OR22725
- OSTI ID:
- 1787227
- Alternate ID(s):
- OSTI ID: 1818755
- Journal Information:
- Symmetry, Journal Name: Symmetry Journal Issue: 11 Vol. 12; ISSN 2073-8994
- Publisher:
- MDPICopyright Statement
- Country of Publication:
- United States
- Language:
- English
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