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...Because each repetitive configuration exist in a mathematical relationship to the ambient these disturbances would become the means of interaction. I am not thinking of this occurring within a mechanical like aether but a medium of propertyless components that give rise through their interactions to the illusions of properties; time, space, motion, mass, energy, etc....
Putting the previous hypothesis aside the original question of the application of string mathematics to circulatory patterns does not seem that far fetched. Especially when one considers that T.R. Jones initiated the string concept based on the discovery that the algebraic invariants Lord Calvin used to categorize vortexes, advanced by Jones into knot polynomials, were identical to the formulas of quantum mechanics.
Even more relevant to this idea is the work by Ludwig Faddeeve of the Steklov Mathematical Institute in Saint Petersburg Russia and Niemi of Uppsala in Sweden that demonstrated that knot-like vortices provide stable, finite-energy solutions for the equations governing local three-dimensional langrangian field theory models.
The concept can be experimentally tested. For example light photons that consisted of rotating streams spiraling forward at a constant rate relative to their ambient field and generating a broader field in the process would behave differently from the photons of current theory. They would behave like the photons in the half dozen or so original experiments that I have posted on this site.