Is Classical Electrodynamics an Inconsistent Theory?

Classical Electrodynamics

An Inconsistent Theory of Belief

Prolog The purpose of this note is to prove that if an agent B believes both that agent A does not know all tautologies, and that A has some simple propositional reasoning capability then B has an inconsistent belief system. More generally if B attributes to A simple reasoning capability in any theory, then this amounts to the assertion that if anyone knows a theorem of the theory, then A must ...

Field Theory reformulated without self - energy parts . Classical electrodynamics

A manifestly gauge-invariant hamiltonian formulation [1] of classical electrodynamics has been shown to be relativistic invariant by the construction of the generators of the Poincare Lie algebra. The original formulation in terms of reduced distribution functions for the particles is applied here to the case of two charges interacting through the classical electrodynamical field. A reduced des...

Massless Classical Electrodynamics

In the direct action form of classical EM we give the equation of motion for a classical massless bare charge without self-interaction in the presence of an external field. That equation permits superluminal speeds and time-reversals, and so is a realization of the Stueckelberg-Feynman view of electrons and positrons as different segments of a single trajectory. We give a particular solution to...

Inconsistency in Classical Electrodynamics

I show that the standard approach to modeling phenomena involving microscopic classical electrodynamics is mathematically inconsistent. I argue that there is no conceptually unproblematic and consistent theory covering the same phenomena to which this inconsistent theory can be thought of as an approximation; and I propose a set of conditions for the acceptability of inconsistent theories. 1. I...