I do not necessarily oppose the notion of a particle flux being a large factor in the creation of a warp field. But why do you think those particles should be gamma rays? It seems a strange choice.
First, I believe that dilithium crystals could also amplify nuclear fusion energy. I elaborated on the possibility here
and feel that TNG's suggestion (crystals do amplify) is not a retroactive concept as it already had been suggested in "Pirates of Orion" (TAS).
From what I understand, one thing both nuclear fusion and annihilation (matter-antimatter reaction) have in common is the production of gamma rays, energy and various atomic and sub-atomic waste particles. A small hint that gamma rays / photons may have something to do with propulsion in the 23rd Century comes from ST II (Joachim: "They damaged the photon controls
Fusion and annihilation energy is converted into some kind of exotic plasma (apparently it is but I wonder how and how much) which next stimulates the even more exotic warp coils to do what they have been designed for - enable space warp travel.
Considering the various discussions (how to bridge interstellar distances solely with the impulse drive, once your ability to [actively!] "warp" space has gone) I couldn't help to mention the alternative (?) that natural gamma radiation could do the job.
It's a wild, unorthodox and heretical concept, which probably isn't supported by the entire TOS onscreen dialogue (which I didn't have the time yet to fine comb) but I thought nevertheless one worth mentioning and food for thought.
Thanks that you accepted the invitation, your comment is the first one I ever received as a feedback regarding this idea.