Actually that is exactly what physics says. Anything with whatever mass, as its relative velocity is accelerated, approaches a mass of infinity as its velocity draws nearer to c. Information, on the other hand, has no mass ...
In the 1890s, Lord Kelvin stated that physics was essentially complete. m'Lord was oh, so wrong.
Care to try again?
"Faster-than-light communication is, by Einstein's theory of relativity, equivalent to time travel. According to Einstein's theory of special relativity, what we measure as the speed of light in a vacuum (or near vacuum) is actually the fundamental physical constant c. This means that all inertial observers, regardless of their relative velocity, will always measure zero-mass particles such as photons traveling at c in a vacuum."
Being able to send a message at a million times FTL would make it really easy to send messages back in time.