The science is simple: water vaporizes at 212F/100C at atmospheric pressure. But if you increase the pressure, the boiling point increases [1]. This means instead of cooking temperatures maxing out at 212F, the cooker lets one achieve higher temperatures. This is why pressure cookers are able to cook faster -- the temperatures are simply higher.
Meats cooked with pressure cookers tend to come out more tender (if you don't let them dry out) in a shorter amount of time.
[1] Water phase diagram. Notice that on the vaporization-condensation part of the curve, when P increases, the T crossover point also increases https://courses.lumenlearning.com/suny-chem-atoms-first/chap...