As I'm sure you're aware, your first and last sentences in this paragraph are related. The reason he complains about the LHC is because colliding high frequency light instead would prove his claim. Here is more about that:
Light colliding
"In current physics, light and matter are different existence types, so:
Two photons cannot ever collide. In fact light is quantized only when interacting with matter. In contrast, this model predicts that extreme light colliding in empty space can give stable matter. That matter is light bottled up contradicts the standard particle model of physics. We know that photons can give temporary electron-positron pairs by the Breit-Wheeler reaction, that accelerator collisions can create new matter, and that high-frequency light near a nucleus can create matter, but to predict that pure light can, in the extreme case, collide in a vacuum to give permanent matter is a shock. If matter arises from light, it is not fundamental. Physics framed around the nineteenth century particle concept still dominates, even though space creates matter, matter plus matter creates matter and light plus matter creates matter,
but if light alone in a vacuum can create matter, it must fall."