Mateucci-Pozzi force, Aharonov-Bohm phase and the Ponderomotive AB-effect

The presence of force for the Mateucci-Pozzi effect, which was once thought to be an Aharanov-Bohm type effect, is demonstrated experimentally. This is contrasted to the absence of force for the Aharonov-Bohm effect as we showed earlier$^{1}$. In this context, it is perhaps interesting to point out that our theoretical prediction of the Ponderomotive Aharonov-Bohm$^{2}$ effect can not be explained in a time-averaged picture by a force, but in the time dependent picture is due to a force. To complicate this line of reasoning even more we point out some relativistic issues for the ``Feynman paradox'' that have not been related before to the Aharonov-Bohm effect$^{3}$. 1. A. Caprez, B. Barwick, and H. Batelaan, \textit{''Macroscopic Test of the Aharonov-Bohm Effect,''} Phys. Rev. Lett. \textbf{99}, 210401 (2007). 2. B. Barwick, H. Batelaan, Aharonov--Bohm phase shifts induced by laser pulses, New. J. Phys. \textbf{10, }083036, (2008). 3. A. Caprez, H, Batelaan, Found. Phys. Accepted for publication (2009).