**ELECTROMAGNETIC SELF-FIELD THEORY (EMSFT) **

(Please note: This page has recently been revised - May 2015- and will be further revised from the original 2005 page.)

In some academic circles, electromagnetics (EM) is considered slightly passé. Like the ancient languages of Rome and Athens whose days belong to begone eras, it is studied because many other scientific disciplines are based upon it, especially phenomena in the domain larger that the atom . Having been investigated for the past 150 years, EM is thought fully pioneered. Besides, EM does not apply to the non-linear, bizarre world of quantum physics, or so it is mooted. As Jackson explains [Classical Electrodynamics, 3rd Ed, Wiley, 2000] linear superposition is assumed where reasonable; at the macroscopic level, linearity is accurate to 0.1%. Even at atomic levels superposition holds very well. Where EM is still part of the academic syllabus, the study of antennas and radiation at the undergraduate level is rare due to the competition of disciplines of a more modern origin. However, EM is where the theoretical revolution of self-field theory (SFT) has emerged.

**As explained at Hydrogen Atom - Origins of Quantum Theory there were problems in classical EM that drove the evolution of quantum theory. This included the relativistic asymmetry in Maxwell's equations that Einstein discussed in his 1905 paper on electrodynamics (see Recent Insight into Relativity). In hindsight knowing how SFT handled the hydrogen atom in 2005 we see there were two problems: (1) the fields were measured incorrectly (2) the magnetic currents of particles were omitted in the EM equations and later the quantum formulations.**

The application of SFT to the hydrogen atom provides many new insights not seen since Bohr and the early days of quantum theory. EMSFT is a recent non-classical formulation of EM that relies on Maxwell's equations. Unlike quantum field theory (QFT), its fields are not heuristically prescribed apriori as EM quanta. The self-field formulation clearly shows the genesis of the discrete fields via the eigenvalue problem formed by a set of partial differential equations (pde's) obtained from Maxwell's equations. The analytic form of this solution is special being self-consistent and periodic; this is the self-field solution coming back on itself in perpetual motion, revisiting space points again and again. We shall use the terminology 'spinor' for these rotating vectors, although the current mainstream notation uses spinor as a term involving unit magnitude without physical basis. These self-field forms are very like the usual method of solving partial differential equation without resorting to the use of probability densities when the problem is over-constrained (Arrivederci Uncertainty) .

One major difference in particular exists between SFT and classical and quantum field distributions whose integrands cover ALL solid angles, out to infinity from a charge. Note that while the field forms of QFT are discrete but not its field distributions. On the other hand SFT incorporates a discrete field distribution. In EM self-field theory, the field does NOT radiate over all solid angles out to infinity but only between discrete charges of finite cross section so this is truly a DISCRETE form of radiation. in EMSFT the photon mediates the E- and H-field forces of any two charged particles transiting between them both in two opposite directions of flow. Thus photons form discrete 'streams' over small solid angles between charged particles rather than the ubiquitous 'flux' filling all space as in the classical Coulomb field distribution between two charges. These streams are reminiscent of strings.