%0 Journal Article %T Parameterized Special Theory of Relativity (PSTR) %A Smarandache F. %J Progress in Physics %D 2012 %I HEXIS (Arizona) %X We have parameterized Einstein¡¯s thought experiment with atomic clocks, supposing that we knew neither if the space and time are relative or absolute, nor if the speed of light was ultimate speed or not. We have obtained a Parameterized Special Theory of Relativity (PSTR), first introduced in 1982. Our PSTR generalized not only Einstein¡¯s Special Theory of Relativity, but also our Absolute Theory of Relativity, and introduced three more possible Relativities to be studied in the future. After the 2011 CERN¡¯s superluminal neutrino experiments, we recall our ideas and invite researchers to deepenthe study of PSTR, ATR, and check the three new mathematically emerged Relativities 4.3, 4.4, and 4.5. %K parameterized Einstein¡¯s thought experiment %K Parameterized Special Theory of Relativity %K Absolute Theory of Relativity %U http://www.ptep-online.com/index_files/2012/PP-29-06.PDF