This article looks at the mathematics of Self-Field Theory (SFT) and how it impacts on electromagnetics and thus on physics.  As we saw in the article 'A new mathematics for the hydrogen atom', a number of fascinating links were found to historically important discoveries that were unearthed early in the 20th century. These included a reformulation of electromagnetics, Bohr theory, an analytic expression for Planck's 'constant', Heisenberg's Uncertainty Principle (HUP), and relativity. So SFT is quite a fundamental revision of the fundamentals of physics. since as we know electromagnetics lies at the core of physics. 
What we wish to explore first then is how these findings impact on electromagnetics, in particular the classical electromagnetics that grew up in the late 17th century with Coulomb's discoveries, and then Ampere's findings concerning current carrying wires. 

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