VSL (Variable Speed of Light) Relativity

Joao Magueijo asserts in his book, "Faster Than the Speed of Light: The Story of a Scientific Speculation," _Perseus Publishing_, 2003, that revisions to special relativity are possible that do not contradict the relativity of motion.

IT’S DIFFICULT to sum up where VSL stands, as I finish this book, because it is still well within the maelstrom of scientific inquiry. VSL is now an umbrella for many different theories, all predicting, in one way or another, that the speed of light is not constant, and that revisions to special relativity are required. Some of these theories contradict the relativity of motion—for example, the model Andy and I first proposed—but others don’t. Some predict that the speed of light varies in space-time, such as my Lorentz-invariant VSL theory and Moffat’s theory. (p. 256).
Judging from the pages I’ve read I don’t believe Magueijo’s claim for a minute. I am fairly confident that I can refute it easily. All I need is for someone to exhibit a concrete example—an explicit transformation equation—expressing how space-time events transform in different “inertial” frames of reference, preserving the principle of relativity. Out of all you researchers, and from the vast collection of VSL papers, does anyone here know how to write down even one of these alleged transforms explicitly for the easy case of one spatial dimension?

Eugene Shubert