Mathematical Basis for Twist Theory

The field twist theory I’ve been working on is designed to provide a geometrical basis for the particle zoo as well as provide a non-bizarro explanation of quantum entanglement.  I’ve had a bit of a breakthrough thinking that provides a mathematical foundation for the theory.

The theory posits that particles arise from electromagnetic fields (there, I said it, I’ve lost 95% of you already!).  For that to be a tenable hypothesis, I have to modify Maxwell’s equations to provide quantization.  A preposterous proposition since that has already been done successfully and particles predicted with the renormalizable Yang-Mills gauge invariant extension/generalization of Maxwell’s equations and the Lorentz force equations.

The problem is that half of Maxwell’s equations, the particle terms, are empirical.  According to my studies, there is currently no known means, not even the Higg’s field, for explaining why the masses are what they are.  The twist field theory attempts to derive the particle zoo by positing a variation of Maxwell’s field equations that replaces the particle terms.  Geometrically, quantization can be mapped to a rotation of a field vector where there is a preferential background state, that is, there is a potential to go to a background ground state.  For this to be achievable using Maxwell’s equations and maintain gauge invariance, there is only one possible such state–the imaginary vector of the EM field.  A quantized packet of energy would require a specific energy to complete one and only one rotation–a twist–to this background state.  The remaining issue is field dissipation–there is only one way that a twist rotation would not dissipate.  It must move axially at the speed of light and must not have a diffuse axial radius.

Once these criteria are met, it is possible to construct a variety of rings and knots and links that should give rise to the particle zoo and the required masses.  The simplest non-linear case is a ring, which has counteracting magnetic field interactions to quantize the loop size (the twist provides one term, the loop itself provides the counteracting term).  As I mentioned, this can all be achieved by replacing the particle terms in Maxwell’s equations with a potential to the imaginary background state.  Such a modification could answer the question of “if this is a valid modification to Maxwell’s equations, why hasn’t it been experimentally observed” because there is no ability to create a sensor made of particles capable of directly observing this background state.  It is this background state potential that shows up when E=hv is measured.  The requirement that the twist axis diameter be non-diffuse would be the explanation for why elementary particles such as the electron are showing zero radius within observable limits.

Interesting investigation for me–I suppose science fiction for the vast majority of you!  But that’s fine–I never said I was doing any great, just some interesting thinking with the studies I’ve done.



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