CP and CPT symmetry violations,entropy and the expanding universe

The conjecture linking together statistical and cosmological time arrows implies interpreting the contracting phase in an oscillating cosmological model as a time-inverted expansion. The Fitch-Cronin effect now requires a redefinition of which is matter and which is antimatter in this time-inverted picture. However, ifCPT is also broken, then theT-violating effects yield a different set of laws altogether for such reactions.Research sponsored by the Air Force Office of Scientific Research, Office of Aerospace Research, U.S. Air Force, under AFOSR grant number EOOAR-68-0010, through the European Office of Aerospace Research.