I just attended a talk where I learnt about a rather recent idea.
"Very Special relativity"
Andrew G. Cohen and Sheldon L. Glashow
I take all new ideas with intense skepticism. From the little that I understood it seems to be the case that it invokes the concept of a preferred direction that is fundamental to the theory.
I have not yet looked at every detail, but it seems to me as sufficient to debunk such an idea (maybe just on aesthetic grounds). But maybe I have not understood some essential aspects of it.
Given that a lot of attention (165 citations on march 25th) is currently being given to this idea, it would be nice to review it, and maybe even independently post a review on the reviews section.