Perfectly cromulent explanation of cryo cables brought to you by Snake oil. River audio.
very simplified analogy would be to think of two rows of numbers. The top row has numbers 1 to 5, while the second row goes from 6 to 10. Well, even through all the beating the metal takes, electrons try to stay loyal to the other atoms/molecules where they were connected before. But because everything has been twisted and reconfigured, the electrons might be trying to go from 1 to 7, then up to 2, back to 6, then over to 3, etc. Not a very efficient way to travel.
The cryogenic process utilizes liquid nitrogen, and very slowly lowers the temperature of the metals down to 320 degrees BELOW ZERO. It's actually so cold, that the electrons themselves practically quit moving. After being held at that temperature for a time to completely break any bonds those electrons had previously, the metals are then very slowly brought back up to normal temps. The effect that this has, is that when the electrons start moving again, they connect to the atoms/molecules closest and strongest to them, instead of wherever they were connected previously. Now, your electrons go straight from 1 to 2 to 3 to 4, etc. This results in lower capacitance and impedance. A much more efficient piece of conductive metal, which in audio, gives you better performance in your cables.