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Physica Scripta

Reply to Comment on ‘Electromagnetic potentials without gauge transformation’

Andrew E. Chubykalo, Augusto Espinoza, Rolando Alvarado Flores

Published Mar 22, 2012• 1 citation
Publisher

Abstract

This is a reply to the criticism from Engelhardt and Onoochin of our work (2011 Phys. Scr. 84 015009): a general argument for the possibility of different solutions in different gauges unrelated to gauge transformation; a result that has been given by Engelhardt and Onoochin using examples. For this reason we are not in any sense trying to refute the statements made by Engelhardt and Onoochin, instead we are offering a possible theoretical explanation of their results.

DOI
10.1088/0031-8949/85/04/047002

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This is a reply to the criticism from Engelhardt and Onoochin of our work (2011 Phys. Scr. 84 015009): a general argument for the possibility of different solutions in different gauges unrelated to gauge transformation; a result that has been given by Engelhardt and Onoochin using examples. For this reason we are not in any sense trying to refute the statements made by Engelhardt and Onoochin, instead we are offering a possible theoretical explanation of their results.
The preceding Comment challenged my claim that potentials might be just auxiliary mathematical tools and that they are not necessary for explaining physical phenomena. The Comment did not confront my explanation without the potentials of the Aharonov-Bohm effects that appeared in the original article, but stated that I cannot apply this explanation for seven other examples. In my reply, using my method, I provide explanations of one of the examples, show that two other examples are not relevant, and agree that the remaining examples require further analysis. However, I argue that none of the examples provides robust counterexamples to my claim, similar to the original Aharonov-Bohm setups which were explained in my article, so the Comment does not refute my claim.