  A complete foundational discussion of acceleration in context of Special
Relativity is presented. Acceleration allows the measurement of a
Lorentz-FitzGerald body contraction created. It is argued that in the back
scattering of a probing laser beam from a relativistic flying electron cloud
mirror generated by an ultra-intense laser pulse, a first measurement of a
Lorentz-FitzGerald body contraction is feasible.
