The core claim of the book is that guaifenesin, an over-the-counter expectorant (with a good safety profile) usually taken to treat a chesty cough, is absorbed from the gastrointestinal tract, and is rapidly metabolized and excreted into the urine—and on the way, it lowers uric acid levels, which is a big deal for fibromyalgia sufferers.
He goes on to explain how the guaifenesin, by a similar biochemical mechanism, additionally facilitates the removal of other excess secretions that are associated with fibromyalgia.
The science for all this is… Compelling and logical, while not being nearly so well-established yet as his confidence would have us believe.
In other words, he could be completely wrong, because adequate testing has not yet been done. However, he also could be right; scientific knowledge is, by the very reality of scientific method, always a step behind hypothesis and theory (in that order).
Meanwhile, there are certainly many glowing testimonials from fibromyalgia sufferers, saying that this helped a lot.
Bottom line: if you have fibromyalgia and do not mind trying a relatively clinically untested (yet logical and anecdotally successful) protocol to lessen then symptoms (allegedly, to zero), then this book will guide you through that and tell you everything to watch out for.