Dear Wayne Lundberg,
Thanks for reading my essay and commenting. I'm glad you enjoyed it.
I've looked at Seiberg, Susskind, and Toumbas on 'Space-time Non-commutation and Causality' - they discuss "the other term is an "advanced" wave which appears to leave the wall before the incoming packet arrived." They then say a conflict with Lorentz invariance is relevant. As you know I reject space-time symmetry in favor of an asymmetric energy-time interpretation of special relativity. Susskind's most recent book (my ref 19) claims to derive the Lorentz in two inertial frames, like Einstein. That this approach is inherently geometric is reinforced by Susskind's advice:
"when confronted with one of these paradoxes, you should draw a space-time diagram".
In other words, don't use logic (leading to 'paradox'), use geometry. Susskind is still big on strings, which many physicists have moved away from. Hartl, Hawking, and Hertog in "The Classical Universes of the No Boundary Quantum State" believe that the quantum state of the universe determines whether or not it exhibits a quasi-classical realm. I have very little faith in theories based on "the quantum state of the universe."
If I understand your essay you wish to construct fundamental quanta and properties from geometry:
"... All fundamental particle quanta, mass and energy quantities are attributed to a geometric basis [having a dual algebra, with no geometrical properties left over]."
While I tend to agree concerning "foundational theorem which defines geometric-algebraic space-time objects.", I perhaps misunderstand the attempts to define "finite particle representation geometry" that replicates QC/ED quantum state algebra. While I believe geometric algebra is the proper framework: (combining algebra and geometry) I do not believe that elucidating the product terms [as I understand other essays to do] and placing them in one-to-one correspondence with the elementary particles is the correct approach. The LHC has shown that a perfect fluid results from Pb-Pb and Au-Au collisions, and I believe a fluid dynamics model is required to produce the particle zoo (utilizing Yang Mills gauge). I believe the pseudo-stable states resulting actually do have geometric properties, but I see these as 'end states'. I do not see geometric properties as initial states, and thus do not believe such geometry fundamental. I hope I have understood your essay correctly.
My best regards,
Edwin Eugene Klingman