Origin and physics of the highest energy cosmic rays

The highest energy cosmic ray particles are the most energetic particles known to us in the universe, and their observations have led us to build one of the largest detector system in the world, the AUGER air-shower array. We have detected particles to 3×1020 eV, which is a macroscopic energy.
There are a number of options how to generate them, and how to get these particles from their sources to us. The various source families separate themselves into several classes, but one main difference is to argue on the one hand, that these particles are accelerated to the high energy in a shock wave, such as in a radio galaxy, or some other shock-wave, and on the other, that they are the product of a decay of a very massive particle, possibly connected to dark matter. One key is the lack of understanding of the cosmological web of magnetic fields, which may influence the propagation of high energy particles.
I will discuss the observational and theoretical limits for an exemplary set of models, and also the predictions, that result from these models. Detailed observations may allow us not only to set limits to the cosmic magnetic field, but also to some aspects of particle physics. Now that we are beginning to accumulate data, the role of the magnetic field in the bending is becoming crucial, and I will discuss the strategies that are necessary to decide what Nature is doing. Very powerful radio galaxies could turn out to be the best accelerators in the universe, ready to allow us to study particle physics at energies inaccessible on Earth.