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Though I disagree with the statement that the mass density of the
virtual particles is zero, I find the argument re the (infinite)
homogenous medium somewhate persuasive, i.e., it seems an infinite
homogeneous medium appears unchanged whether moving or not.
However, I was probably unclear about whether the distribution of
virtual particles was infinite or not. I was considering the virtual
particle cloud surrounding, say, a real electron. In this case the
virtural particle cloud is isotropic, but not infinite.