Honestly, still mildly crazy. If:
- Whatever Star Trek says about warp reactors (matter / antimatter reaction) is valid. Reacts "some" amount of matter/antimatter every second.
- Klingon Bird of Prey can maintain an effectively infinite cloaking time from a human observation perspective, so it can be nearby.
- Warp reactor "occasionally" leaks (1% of 1% of 1% of reactions? I dunno...) so we might actually detect something. "Slightly" imperfect shielding.
- Problem: 5E1 J for OMG Particle (people say its a proton). 1.8E14 J for 1 gram of matter / antimatter annihilation. Except: 1 Proton = 1.6726231E-24 g. Proton rest mass energy is 1.503E−10 J. So the particle is more energetic than a Proton / Antiproton annihilation event (by a lot). It's been upshifted More than 100,000,000,000 from the rest mass energy.
- It "might" work if the one proton escaping represented a single proton gaining enough energy to overcome reactor core shielding confinement, which, in my opinion, seems somewhat plausible physics by Star Trek standards.
- PS: Personal guess is a Q-Clearance [3] experiment at a DOE lab we deny exists.
[1] https://en.wikipedia.org/wiki/Orders_of_magnitude_(energy)
[2] https://en.wikipedia.org/wiki/Proton
[3] https://en.wikipedia.org/wiki/Q_clearance