Responses To Jay And Hannah
Thank you both very much for your generous comments.
Here is a brief response to Jay’s question regarding potential problems facing DSR. If one goes to the Fractal Cosmology websiite http://www3.amherst.edu/~rloldershaw , clicks on the Selected Papers page, and chooses paper #2, one will find that section 4 of that paper discusses 10 unresolved issues that might pose problems for DSR.
That paper is decades old and some of the issues have since been partially or fully resolved. More recent progress on these issues can be found in the New Developments and Technical Details pages of the website.
My main argument over the last 4 decades has not been that DSR must be right, but rather that it deserves serious consideration by the physics community, since it seems to offer the potential for a major breakthrough and advance in cosmological paradigms. I think the discrete self-similar paradigm is based on sound, observationally motivated principles. All that is required is that we scrupulously question previous fundamental assumptions. But there’s the rub. Humans have trouble questioning their fundamental assumptions.