Just a note. Of those 3 highlighted in red neutron waves the rightmost two do not exist (eyeballing). They are right down in the noise. I'd like to see a Bayesian analysis of the evidence for neutron waves at those values (rather than some other value). The evidence for hypothesised neutron waves from that graph would appear non-existent: and I would always defer to proper data analysis that would have to be Bayesian choosing hypotheses carefully.
All those spikey things don't seem to be traditional noise. This is a 3-hour spectrum (according to Wyttenbach) and I think that the shot noise is low here compared with the signal. Instead, there is this forest of spikes, a few of which Wyttenbach puts forward as proof of his theories.
My problem here is that there are so many features in the spectrum that almost any theory would seem to find support. Indeed, I have a theory! And here are 5 energy levels (in keV) that I predict should feature in the spectrum ... 105, 141, 169, 197, 238. I think I see them all. Does that mean my theory is right?