Over the years, I have painstakingly worked out how adding a background state directional dimension to R3 enables integer rotations in the field that are quantized. This quantization enables things like quantum photons that observe E=hv and other quantized particles–and recently, I discovered that in R3 + I, point particles have four spin permutations, thus forming a model for the electron variations (spin-up and spin-down electrons and their antiparticles).
In all of this work, I didn’t really consider time as important in developing the rotation state quantization from the R3 + I field. It wasn’t really relevant to the question of point particles or particle quantization. But in the back of my mind, I kept thinking there is something awfully familiar about the properties of the R3 + I field. You probably all saw it before I did, but it suddenly hit me that spacetime has the same (x0,x1,x2,t) vector arrangement as my R3 + I vector rotation field. And, the t component in spacetime, while considered a dimension, is constrained differently than the spatial dimensions–as observers, we are unable to move backwards or forwards in time like we can in space. The dimensional aspect of time shows up in relativistic frame-of-reference situations, where, for example, different observers see different event simultaneity times.
Ignoring the field warping caused by general relativity, spacetime is covered by Minkowski four dimensional geometry with Euclidean axes described by the (x0,x1,x2,t) vector. The rather astonishing discovery I made was that allowing Minkowski field rotations to default to the t dimension direction, quantized twists can form and point particles can exist in the four electron variation forms.
We don’t have to make up a new +I dimension–spacetime itself can form quantized particles and four electron variations!
Agemoz
Tags: physics, quantum, quantum theory, special relativity
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