[deleted]
Stephen,
What dispersion at c locally achieves in my model is a differential in the speed of energy propagation within different spaces (frames), by implementing a boundary interface mechanism so that different parts of waves progress at different speeds.
The key here is that relative closing, or APPROACH velocity, is v + v, so therefore also c + v, but that at the moment of interaction (detection, or 'absorption'), because the absorbing boundary particles can only emit at c, then the speed is changed to the NEW, particles own, c. This then fully meets your (agreed) requirement"
"Refraction requires there to be a differential in the speed of energy propagation between different points, or some type of boundary interface so that different parts of the wave progress at different speeds."
It is so simple and self apparent that it seems it does take a massive intellect and visualization skills to assimilate and rationalise, though I was pretty sure you were already most of the way there.
But the Lorentz transformation does 'fall by the wayside' except as a close replica of, for instance, the synchrotron frequency curve of a bunch of protons being accelerated towards c in the LHC. This curve closely matches the increasing electricity bill they face during the acceleration process. At almost c almost infinite energy is needed.
If we study the increasing 'virtual electron' (pE) density around the bunch, and look at the oscilloscope reading, it is quite intuitive that we CAN discern a 'speed' in the vacuum, and that the LT curve is a resistance 'power' curve.
The LT itself is then simply the acceleration between media in different states of motion (frames), or rather it's effects.
All this is embedded quite deeply in my essay, and each part of the essay evidences a crucial component of the ontological construction. It seems that just a cursory read, or using old assumptions, will mean it's missed.
The essay shows just the tip of the iceberg, which seems to me to be about the biggest advance ever in physics, so I suppose if it was that easy to initially comprehend it would have been done in the 1800's. Or am I missing something.
I hope you didn't hop off the moving train just behind someone else, the Doppler effect of the LT would have compressed the pair of you, leaving you a bit bluer!
Peter