As far as i understand he didn't break any laws of physics and The Escapist should remove that mention from this article.
All he does is go -around- the problem. I.e. you cant go faster than light, except if you move space (aka Alcubierre Drive).
The maximum transmission problem has to do with frequencies of binary data transmission on one band, and if i understand his claim correctly, he just proposed distributing the bandwidth onto several bands.
This would be the same principle as cloud-computing in general.
There is no single one-core (silicon) processor in the world capable to reach petaFLOPS, and never will be - its physically impossible, but supercomputers do reach petaFLOPS through distributed computing of thousands of processors.
What he proposes is, simplified, a dual/quad/hex-core just for WiFi and not processors.