**SELF FIELD THEORY**

This site is a central repository of SFT in all its various forms across physics. For comparison it provides comparative links to current mainstream scientific thinking - cosmologia. Electromagnetic self-field theory (EMSFT) is a recently discovered solution to the hydrogen atom. SFT provides a range of analytic self-field solutions to Maxwell's equations and modified systems of Maxwell's equations offering a unified vision of the four forces known to physics, electromagnetics (EM), strong nuclear (SN), weak nuclear (WN) and gravitation (G), plus a range of other forces, including biophysical forces. This is analogous to the mathematical methods employed within the Standard Model (SM) of particle physics, but because of SFT's mathematical simplicity compared with the SM its reach is more transparent.

EMSFT is a true 'field' theory being based on Maxwell's 1st order differential equations and not on potential theory. EMSFT uses the E- and H- fields compared to quantum field theory (QFT) based on the wave equations with their vector and scalar potentials, derived from Maxwell's equations by a vector manipulation called gauge theory, a subtle and complex form of mathematics. Distinctions between EMSFT and QFT thus derive from the degree and number of equations being solved. This concerns the mathematical complexity needed, with major differences of analytic and numerical methods used in a particular application. We may think of the simplicity of the numerical solution to partial differential equations compared with that of integral equations. Since the fields in EMSFT use 'centre-of-motion' coordinates they convert the underlying problem into linear form via a spinorial tensor decomposition, similar to QCD and QED. As photons stream between particles they move in spirals, as well as spinning; the half-integer spirals can be asociated with quantum 'spin'. SFT's field is different to the classical field imbedded within QFT. Subatomic particles move with a coherence to one another. Electrons balance all other electrons within a framework of motions. Nucleons and electrons move in concert. EM fields stream between particles in an EM system of equations while gluon fields balance the quarks etc, within coupled but separable strong and weak nuclear systems of equations. There are symmetric motions, e.g. Pauli exclusion, parts of an overall balance. In contrast to QFT, SFT uses self-field solutions responsible for atomic structures and other self-systems that QFT does not yet employ. Both EMSFT and QFT apply widely to areas such as particle physics, cosmology, and optics, to name a few.

**'Square root' (decomposition) of tensor. Tensor 'collapses' into row and column vectors involving two orthogonal spinors*. This is like quantum mechanics except solutions are (analytically) exact and not 'uncertain'. Cubic, quartic, quintic tensors (of order 3,4,5), etc can be similarly constructed and decomposed via the straightforward spinorial mathematics. For example, the complete solution of each subatomic particle is obtained as spinor sets of appropriate degree. The strong nuclear forces require 3 orthogonal spinors. An atom thus requires two tensors involving both EM and SN terms coupled inside the one tensorial equation. The atom is a cubic system overall.**

***Spinors are defined as mathematical entities involved in tensor synthesis in various ways:
(1)spinor1 in terms of a quantum of half-integer intrinsic spin
(2) spinor2 in terms of a unit quantum of half-integer intrinsic spin
(3) Herein a spinor is defined without scaling and can have any amount of spin**

**Spinors defined as in (1) and (2) are quantum mechanical, while the spinor in (3) is appropriate for particle and field equations of motion. Notice that (3) is a continuous variable in r and ****f.**