Interestingly, superconductors don't seem to be entirely perfect at DC even, but certainly aren't at AC.
A simple demonstration is thus:
When a chunk of YCBO is cooled below Tc, why doesn't it become suddenly a perfect mirror?
Indeed it remains black, an extremely lossy surface at optical frequencies!
It stands to reason that, somewhere between DC and light (literally!), there is a point of increasing losses.
As it turns out, this point falls particularly in the deep IR to THz range, corresponding to the binding energy of Cooper pairs in the material (so, on par with thermal energy, and thus falling in the thermal to cryo IR range of the spectrum). For frequencies below this cutoff, some degree of superconducting behavior is expected, and above this, none.
(Indeed, the population of Cooper pairs is somewhat limited, and they can be momentarily broken by a bright flash, at least in films where the penetration depth of light is sufficient to do so. Thus, superconductivity can be optically switched.)
It additionally happens that, for type 2 superconductors (like YCBO), the AC losses extend all the way down (as a limiting case) to DC, in a sense: for less than some critical field strength, it remains superconducting, but above it, some flux is permitted through the material (violating the Meissner effect, at least in bulk; presumably, local domains remain free of internal field, and this occurs at defect sites?). An effect known as flux pinning. It's hysteresis loss, in very much the same way that magnetic materials exhibit hysteresis loss, a predominantly AC effect but which extends down to DC in the limit.
Type 1 superconductors are generally quite good quality at modest AC frequencies, but still have nonzero losses. As I mentioned earlier, Nb resonators have a Q factor in the 10^7 range -- quite high, but still far from infinite.
So, even given superconductors, there is no lossless condition.
But in any case, this is another distraction -- if the claimed energy conservation exists, then we must be able to measure it for short time scales, before the dissipative time constant has elapsed. This is true whether a truly ideal situation exists (the TC is simply infinity, so the measurement can be made at any time) or with decidedly nonideal real capacitors (which might have a short TC, less even than the LC resonance period, so we shall select parts to ensure this is not the case, and a measurement can be made before significant dissipation has occurred).
Then, you can contrive a circuit where such a waveform will be present, at least transiently, no? Illustrating the claimed sqrt(2)/2 voltage ratio, that is?
Even if the system is decidedly nonideal, the claim remains strong and testable: for equal capacitors and 0/nominal charge, the measured (DC or cycle-averaged) voltage
must be somewhat greater than the predicted 0.5, and no more than the asserted sqrt(2)/2. Even if we measure a value within this range, we have proven that something other than the charge-conservation prediction has occurred.
This is one of the best cases science has to offer -- a clear and concise claim, with an easily measurable and easily discriminated result. I'm a bit excited to see the results, honestly.
Tim