A claim is made that a new force field F(x) (independent of the four-velocity) is discovered which induces on a mass m a 4-acceleration a = du/dτ = F(x)/m at position x. Would this be consistent with special relativity? Why or why not?
The Attempt at a Solution
Consistent with relativity - if not, I would looking for some violation of maximum speed - light velocity or relativity prinicipel. Some hint please?