I can't critique the article directly, since it's behind a paywall. But I can take the purported results and do some Bayesian analysis with it. Take first a prior - due to my knowledge of physics, my prior on microwave/RF/visual radiation having any biological effect is 10^{-5}. Multiphoton ionization has simply never been observed to happen except under extremely intense (read: it'll melt you) fields and there are s…
Like many people, you're starting from assumption of the mechanism (ionization) and ignoring the fact that there are many other known physical mechanisms that are plausible. Also, if people detect a reliable signal without a plausible physical mechanism, best thing to do is determine what the cause of the signal is- rather than just assuming it's impossible. In grad school we were taught to do "back of the envelope"…
What is just about impossible to calculate is what the probability is that the model captures only way for X event to occur. I find people sometimes confuse the reliability of calculations within the model as a defense of the model itself - usually unintentionally, but sometimes intentionally (with industries defending the safety of some practice...).