Union of Euclid?s Axiomatic Method with Newton?s Empirical
Scientific Method Leads to an Improved Electrodynamic Force
Charles William Lucas
Euclid?s rigorous axiomatic method of deriving theorems/theories is reviewed as well as Newton?s less rigorous empirical scientific method. Then the method of Maxwell is introduced showing a partial combination of the axiomatic and empirical scientific methods. Finally the union of the axiomatic and empirical scientific method is perfected to obtain an improved version of the electrodynamic force law capable of replacing the original electric force law and magnetic force law. The inclusion of the finite size of charged particles plus the conservation of energy and Newton?s 3rd Law as embedded in Lenz?s Law appear to be capable of enhancing the electrodynamic force law and the equations of electrodynamics such that there is no longer a role for Einstein?s Special Relativity Theory in electrodynamics.
