mfb said:
It does not - you just need a larger accelerator. Or you can simply go to a different coordinate system to get any photon energy you want.
Firstly I think you missed the point. Two points in fact.
1: There is a finite amount of energy in the observable universe. Jiggle your coordinate system any way you like, you won't go beyond that (or are you betting?) I leave it to you to estimate the wavelength of the photon that would be equivalent to the mass-energy equivalent of say our closest 5 billion light years or so. Frankly I suspect that the gravitational effects of such a photon alone would present us with some intriguing problems. (Black hole on the cob, anyone?) :) That sort of thing is what I had in mind when musing about the sort of discontinuity of behaviour that might justify us in distinguishing our photon from gamma photons.
2: Even granting that we mustn't be greedy just for the sake of large scale physics, what sort of approach would you use to convert real-life diffuse sources such as condensed matter, not to mention plasma accumulations like the sun FTM, into a single photon? You would need some pretty fancy coordination, because you couldn't run after your photon, shouting "Wait, here are some tributary photons that you missed!" even if you compromised on producing TWO photons to conserve momentum, could you? That could seriously affect your options for collecting the energy from the rest of our local 10 billion-light-year diameter globe I reckon. Unless you happen to have news for me of course...
Nothing new, unless there are new, undiscovered particles. Beyond something like 1 GeV, all you get are interactions of photons with elementary particles, and the Standard Model can describe them very well. While the types of particles that can get produced in those collision still changes if you go to higher energies, from a macroscopic point of view it always looks the same: photon hits other particles and creates an electromagnetic shower (with smaller hadronic components).
Forgive me if I regard that assurance with reserve. There tend to be some very curious things that happen when one leaves known constraints; such as when we enter the scale of photons whose behaviour might be dominated by their own gravitational effects, and which will have to travel through some 5 billion light years of space that we have evacuated of particles to generate them. Something gives me a nasty feeling that something unexpected might happen, possibly even more unexpected than someone actually developing technology for creating even a mingy little 1-kg mass-equivalent photon, or even two of them. But don't hesitate to surprise me!
I realize that you could object that the government would never underwrite any such project, so that my proposal is unrealistic, and so it certainly is, but, like the original question, it is an academic concept, a gedankenexperiment if you like, and as a physicist, you will realize they they too have their place in the history of science. I, as it happens am not even equipped to carry such a gedankenexperiment to any sensible conclusion, but hoped that someone else might.