Hi Declan,
A valuable piece of work. I offer the following summary, if only for my own benefit, though it may be of general interest:
This paper now offers new understandable explanations, notably:
(i) Why the Doppler effect only SEEMS to be different for light, as compared with other waves; (ii) How a WAVE-based interpretation of the particle allows us to DEDUCE General Relativity effects; (iii) Likewise for Special Relativity, with both longitudinal and transverse motion.
Going further: (iv) The asymmetry of the two parts of a standing-wave "particle" (along the radius to a mass) accounts for gravitational attraction toward that mass. -- Etc.
It is interesting to search this paper for cases of "STEPPING OUTSIDE TRADITION" as a means to achieving such creditable accounts. Four which I have noticed are: (a) It breaks the wave-particle-dualism deadlock -- in favour of the waves, but it accepts "particles" as a by-product of wave activity; (b) It dodges that tiresome demand of the 1900s that EXPERIMENTATION was the only legitimate form of testing -- and it depends instead on corroboration between different theoretical accounts. (Experimentation is not as pure as we may think -- whereas internal corroborative "coherence" is vital anyhow*).
(c) It is not afraid to amalgamate apparently-different effects into special cases of the one effect (obvious from the above summary); or conversely
(d) to identify two-or-more different "hidden" SUBCOMPONENTS with different parameters-or-whatever (as with the two components of a standing wave).
Bob
* PS. I like to think I have successfully applied this "(b)" approach in the rather DIFFERENT FIELD of explaining how HUMAN INTELLIGENCE is possible. See http://www.ondwelle.com/MolecularScheme.ppt (2012) plus http://iopscience.iop.org/1742-6596/329/1/012018 (2011) --- with emphases on Psychology & Neurophysiology respectively.
In fact I am now tempted to take that methodology issue ( further consequences for physics) into the fqxi competition myself if I can find the time! Failing that, I might put such physics-orientated material onto my own website as www.ondwelle.com/fqxiComment.pdf -- preferably before October.