Would a high voltage supply powering a tube used as an Xray generator be the highest frequency attainable on a breadboard? (I'm assuming just placing a gamma emitter on it wouldn't count because it's not electrical.) Actually building such a high voltage supply entirely on a breadboard is another problem, but it's possible - remove unused contacts to increase separation and submerge the high voltage part of the breadboard in oil. Or just build a Tesla coil using a tiny breadboard to connect the secondary to the tube in order to satisfy the requirement that all parts must be connected via breadboard.
Why not run a Farnsworth fusor and make gammas too?
But as previously discussed, optical and such... aren't very easy to measure the voltage or waveform of. Probably better leaving things in TEM0 mode, i.e., normal baseband electrical signals in transmission lines.
That does remind me though, I do have a reflex klystron or two; don't think any are higher than what's been shown here (just checked, one is merely 1450MHz). It's basically self contained, so I could plug it into an octal base, modified (drilled out..) for the coaxial output electrode, which I'd have to hack by, like, just clipping an antenna onto it and sensing it in proximity with another wire going to my analyzer. Anyway, the socket would have pigtails that plug into the breadboard, which would still meet the spirit of the challenge I think.
Unfortunately I don't have a negative high voltage supply to hand (it needs both positive plate voltage and negative reflector voltage); well, I guess I could use an isolation transformer and rectifier... mmh. Rather not drill out a socket either.
Tim