The Living Force
To get space to go negative is easy with rotations; to get time to go negative, you need to tilt the light cone with the conformal group. The standard model bosons kind of have their polarity attached like a W- and W+ weak boson or green color and magenta anticolor for a gluon. That allows the polarity to be one of the actual vectors for the bivector boson in a model.Wouldn't plus and minus charge be just different values on the same "charge" dimension?
(One of my issues with time as a dimension is that there are no examples of negative time...)
Spin/half spin is a gauge boson vs spinor fermion thing which could be an even grade vs odd grade Geometric Algebra thing related to this:I always figured that this was what was going on with spin too: the spin states were just +/- on a dimension that translated into ours as this thing called "spin" that has an inherent angular momentum, but nobody can physically explain...
A spinor visualized as a vector pointing along the Möbius band, exhibiting a sign inversion when the circle (the "physical system") is ...
The spinor fermion also has vectors for the components of the spin in the different directions (which would include Kaluza-Klein ones when you have them). It is an odd quantum thing related to the orientation needed for a detector with a 100% probability for detecting.The action of an even Clifford element γ ∈ Cℓ2,0(R) on vectors, regarded as 1-graded elements of Cℓ2,0(R), is determined by mapping a general vector u = a1σ1 + a2σ2 to the vector... In this situation, a spinor is an ordinary complex number. The action of γ on a spinor φ is given by ordinary complex multiplication.