Covariant energy-momentum and an uncertainty principle for general relativity

Details Covariant energy-momentum and an uncertainty principle for general relativity Covariant energy-momentum and an uncertainty principle for general relativity

2009-04-02

arxiv.org/abs/0904.0469v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, new material added

Scientific paper

We recognize the natural covariant extension for energy-momentum in general relativity: energy-momentum in spacetime as opposed to space. The key indicator is the Tolman energy integral for stationary systems. The demand that the general expression for arbitrary dynamic systems reduce to the Tolman integral in the case of stationarity leads to the matter-localized Ricci integral for energy-momentum in support of the energy localization hypothesis. The role of the observer is addressed and it is recognized that the field of freely-falling observers extract the global Tolman energy. It is suggested that in the extreme of strong gravity, the Heisenberg Uncertainty Principle be generalized in terms of spacetime energy-momentum.

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