About tps: The maximum genuine transaction rate per second in p2p data networks that span the globe is even theoretically below 3 tps limited by the speed of light (signal speed in medium such as optic fibre + processing). The HEAT engine is currently capable of processing multi thousand tps on a single node and several hundreds of tps on closely connected nodes with a network connection that can support such speeds.
Please tell me more about how you defy the speed of light. Is it only Magic or did you mix some Alien technology in?
Better go back and re-read it, it doesn't state anywhere they exceeded the speed of light. Just that transactions are limited by such speeds and HEAT is able to process transactions but more per second, not faster.