Twist discontinuity and Strings

As I’ve worked through figuring out what a mathematical description of a twist with a discontinuity would look like, I found several fascinating results.  First, I realized that the sheath surface surrounding the twist would have to be as thin as possible, a long tube of epsilon width–otherwise there would be paths outside of the twist that would get pushed aside, causing potential variations.  The lowest energy state for the twist with a sheath would have to be essentially one dimensional, tied down to the background state on either end.  Oh ho, I thought–this looks an awful lot like a string!

I’ve never been a fan of string theory–not because of the model that uses strings, but because string theory is associated with rolled up extra dimensions.  I’ve felt that adding rolled up dimensions, or any form of dimensional structure hidden within our three spatial dimensions, is a deus ex machina device to cram general relativity math into QFT.  In addition, I have the more subjective view that nature finds a way–if there were other dimensions, nature would fill it with vermin that evolved to take advantage of the space.  We would observe non-conservation of mass in the dimensions we can’t see in that case.  Of course, that is no proof, but it’s my instinct that if there really were something we would call a dimension orthogonal to our R3 space, our rules of conservation wouldn’t always hold.

So, the irony is that when I allow discontinuities into my twist field theory, I see that strings have to result or the theory can’t work.  This does several things–first, the problem of photon circular polarization becomes trivial.  Second, this matches the theory premise that twists have to have a tiny width, if any.  More of why this is so can be seen in my Paradoxes paper (rather old, and getting out of date as I’ve done further research–but the basic ideas still seem to work).

But where the string model gets *really* interesting is the realization that the twist enclosed with an infinitesimally thin sheath only has one path.

Quantum Field Theory works extraordinarily well, by that I mean that doing perturbative summations of multiple paths yields extremely accurate results confirmed by experiment.  So why is there no term for an electron interacting with an electron, or a photon interacting with a photon.  You thought that the infinities to be renormalized were bad before, wait till you throw those stinkers into the mix!   It’s because those two items consist of only one path.  That is why they have fixed particle parameters that don’t vary regardless of what is nearby–they are atomic, to use a rather ironic term.  An electron can interact with another electron only via photons, there is no way to some how break down an electron so it will interact directly with another–same with a photon.  There is only one path for each.  And this twist field string, with a sheath discontinuity, provides the reason why.

If it is right.

Agemoz

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