No, it doesn't. That would violate Gauss's Law.
I don't see how the uncertainty principle applies, especially to a field.
Suppose you have an electron in orbit around a nucleus. The HUP states that the uncertainty in energy times the uncertainty in time is greater than some calculable fraction of Planck's constant. If the electron were to continue to radiate energy, its orbit would continually shrink (resulting in a shorter period), and its energy would continually decrease. At some point, the product of these quantities will fall below the stated inequality, which is forbidden. There must therefore be a ground state past which the orbiting electron cannot radiate.
The Earth in its orbit is about 75 orders of magnitude away from this limitation.
If Cavendish could measure g with small lead spheres over 100 years ago, certainly today's physicists could produce gravity waves on the orders of tens of kilohertz and measure them.
Describe how to do it. It's easily worth a Nobel Prize.
Also as the frequency of the wave increases so would its radiated intensity, making the measurement very easy.
That doesn't make sense.
Wouldn't gravity waves cause an effect similar to the Lorentz contraction and hence could never be measured?
The Lorentz contraction can be measured.