Monday, March 4, 2019

Minor Note

As it transpires, "Acceleration and gravity look alike" isn't an interesting result, and is part of relativity already (where it is variably called Rindler Motion or Rindler Coordinates).

This is both frustrating and reassuring - frustrating, because it was one of the things I thought could be relatively easily tested coming out of the model, and reassuring, because it mean my mental models aren't entirely off-base.  The equivalence of motion and Lorentz Contraction is on slightly firmer ground.  (Lorentz Contraction isn't symmetric about the axis of motion, and spacetime is slightly denser forward of the object in motion, meaning movement along the Kaluza-Klein cylindrical dimension is sufficient to produce linear motion.  If we posit that Kaluza-Klein is time, we arrive at a description of reality without "motion", only geometry.)

I've also concluded that the next step for me to figure out validity, given the absence of relatively inexpensive tests, will need to be mathematical.  If I am correct, the hierarchy problem should go away if you assume that all fields exhibit general relativistic behavior with regard to spacial distortions, which is to say, given that spacetime curvature means that a gravity well has greater interior than exterior volume, the same very may well be true of smaller particles, inwhichcase the hierarchy problem may entirely arise from the fact that we're measuring a space that is substantially bigger on the inside than the outside from which we are measuring it: There may be no hierarchy problem, at all.

I'll be focusing on tensors as my next area of study, for lack of a clear idea what I need to actually study in order to make this determination.