This equation is called the Cauchy momentum equation and describes the non-relativistic momentum conservation of " any " continuum that conserves mass . \ boldsymbol { \ sigma } is a rank two symmetric tensor given by its covariant components.
42.
Basil Hiley showed that the energy-momentum-relations in the Bohm model can be obtained directly from the energy-momentum tensor of quantum field theory and that the quantum potential is an energy term that is required for local energy-momentum conservation.
43.
However, Newton's laws are not more fundamental than momentum conservation, because Newton's laws are merely consistent with the fact that zero resultant force acting on an object implies constant momentum, while a resultant force implies the momentum is not constant.
44.
I have recently read that the laws of energy conservation, impulse conservation, angular momentum conservation and electric charge conservation can't " forbid " the proton decay and proton annihilation in nuclei ( the ref is from 1988 but I think it's still valid in that ).
45.
If we know the unit discharge as q = 10 ft 2 / s and the flow depth at position 1 as y 1 = 8.0 ft, by applying energy conservation between position 1 & 2 and momentum conservation between 2 & 3, the flow depths at position 2 ( y 2 ) and 3 ( y 3 ) can be computed.
46.
Examples of continuity equations often written in this form include electric charge conservation \ partial _ \ mu J ^ \ mu = 0 where " J " is the electric 4-current; and energy-momentum conservation \ partial _ \ nu T ^ { \ mu \ nu } = 0 where " T " is the stress-energy tensor.
47.
Such anisotropy might have observable implications that could been sought for in WMAP or SDSS . Also, if we are just talking about angular momentum conservation from some initial non-zero value, then that would have to be accomplished by ordinary gravitational forces, when would tend to concentrate mass in a plane perpendicular to the axis of rotation, just as galaxies collapse into rotating disks.
48.
Unlike a Mach effect thruster instantaneously exchanging momentum with the distant cosmic matter through the advanced / retarded waves ( Wheeler Feynman absorber theory ) of the radiative gravinertial field, Sonny's " Q-thruster " would appear to violate momentum conservation, for the thrust would be produced by pushing off virtual " Q " particle / antiparticle pairs that would annihilate after they have been pushed on.
49.
In regard to why the EM momentum-energy stress tensor is not enough to correctly define light momentum, the study also provides a strong mathematical argument that the momentum conservation equations derived from EM stress-energy tensors are all differential equations, and they can be converted one to the other through Maxwell equations; thus Maxwell equations support various forms of momentum conservation equations, which is a kind of indeterminacy.
50.
In regard to why the EM momentum-energy stress tensor is not enough to correctly define light momentum, the study also provides a strong mathematical argument that the momentum conservation equations derived from EM stress-energy tensors are all differential equations, and they can be converted one to the other through Maxwell equations; thus Maxwell equations support various forms of momentum conservation equations, which is a kind of indeterminacy.
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