Károlyházy graduated from the Piarista Gimnázium in Budapest in 1948, and then was admitted to the mathematics and physics teaching department of Eötvös Loránd University .
He was admitted to the Eötvös Collegium at the same time as the university, and was expelled after a year due to the political situation in the country (he refused to support the conviction of László Rajk).
He spent his long stays abroad with the highest level of support from party state bodies, traveling with a diplomatic passport of special status.
He achieved significant results in the field of relativistic space theory, giving a new model to the so-called Mach principle to install.
His name is associated with the initiation of a trend that did not see quantum mechanical randomness as a measurement process as an external intervention, but as an integral part of temporal evolution that is constantly modifying the Schrödinger equation.