Rift in SpaceTime

I found a way to make the unitary twist field work when allowing discontinuities, although I’m not too sure I like it.  If the unitary field is such that continuity paths cannot be broken, but discontinuities do not exhibit any restoring force across the discontinuity, the twist tie-down at the ends can be achieved.  There is one thing to say for this approach–I actually like this better because no force is involved (which would have meant inventing another cosmic constant, a deus ex machina just to make my theory work).  But restricting continuity only on paths rather than volumes seems kind of arbitrary and unlikely in 3D+T…

This means that the sheath model of the twist would work–the twist path through the sheath is stable and holds the twist path, and the volume outside of the sheath is stable, and there are no potentials across the sheath.  How would such a twist form if all continuous paths must stay connected?   By complementary pair production.  If a pair of twists start as a point (maintaining patch connectivity, but some paths separate) and spread out in a line, the twists may or may not separate depending on the local field energies and directions–for example, a pair of photons or a particle/antiparticle pair.  Some pairs may complete, some may go part way and then recombine before completely separating, forming a momentary virtual particle pair.  Here’s a picture of the concept:

I’m not sure I really like this, but if we are going to allow a geometrical solution rather than the traditional quantum view, this one would work.  It limits the continuity requirement to paths rather than local neighborhoods–kind of problematic when working with a unitary field, but I suppose this concept is possible.  I’ll continue to work with the implications of such an approach.  One thing I see immediately–my previous conclusion using a continuous twist model was flawed–you cannot get circular polarization with the in-line twist.  With this sheath model, you can do the either in-line or orthogonal to both the background field and the in-line twist–or any linear combination of both.

A mathematical model for simulation is much harder when this kind of a discontinuity is allowed, because lattice simulations will result in improper artifacts on the discontinuity boundary that are dependent on the nature of the lattice cell.  In a continuous field simulation, the effects of the shape and iterative computations on the cell will have negligible effects on the overall simulation, but that is not the case when there are discontinuities.


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