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the gravity effect of the mass of an object is depends on the location of the object and it mass ,but the problem is that the mass also depends on the speed of the object (relativistic mass). since we cant tell the speed of a particle and the it location in short scale, then mass measurement is always inaccuracy because if we tell where the particle is then we won't be able to tell it speed which effect it mass and if we know it speed then we don't know it location so it effect also would be difference depends on the distance form the particle to the sensor

daniel
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2 Answers2

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In general relativity, which is the consistent picture relativistic gravity, the gravitating source is not "mass", but rather the stress-energy tensor. This is a two dimensional matrix $T_{ab}$, whose components are:

$T_{tt} = $ density of matter

$T_{ti} = $ ith component of the 3-momentum density of the matter

$T_{ii} = $ pressure felt by matter in the i-direction

$T_{ij} = $ "sheer" or "strain" force associated with the i,j direction

Since this tensor already contains information about the motion of a particle, there is already a consistent way to account for any relativistic motion effects of gravitating sources, which can produce "new" effects not seen in Newtonian gravity, like Gravetomagnetism.

In particular, if you have a stationary point mass, then $T_{tt}$ will be the only non-zero component, but a lorentz transformation to a moving frame will transform the stress-energy tensor according to the rules of the transformation, and since Einstein's equation is covaraiant, you will get the same forces, but they will be described in a different way.

Zo the Relativist
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Your implicit assumption is that if A and B are both uncertain, then A+B is uncertain. This is not true. The ground state of an atom is not a state of a definite kinetic energy or a state of a definite potential energy, but it is a state of good energy. Relativistically, it's a state with a definite mass-energy.

user289052
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