Toward Paradoxical Inconsistency in Electrostatics of Metallic Conductors

Report No. ARL-TR-8365
Authors: Michael Grinfeld and Steven B Segletes
Date/Pages: May 2018; 17 pages
Abstract: Current developments show a clear trend toward more serious efforts in validation and verification (V&V) of physical and engineering models. Naturally, when dealing with fundamental problems, the V&V effort should include careful exploration and, if necessary, revision of the fundamentals underlying the physics. With this understanding in mind, we review some fundamentals of the models of crystalline electric conductors and find a significant inconsistency in applying classical electrostatics to these sorts of substances. In this report, we formulate this inconsistency in the form of a novel paradox in electrostatics of metallic conductors.
Distribution: Approved for public release
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Last Update / Reviewed: May 1, 2018