In the aftermath of WWII the so-called "Men in Black" were formed, not to police aliens (what a conceit!) but to sequester dangerous technology like free energy and anti-gravity.
With great responsibility comes great power.
There are all kinds of awesome technologies but each one is as dangerous as it is powerful, and we are fucking nuts, so it's kept a secret. Rex Research is one of the "holes" where the knowledge is allowed to leak out as a kind of pressure-release valve.