From your description of infinite it sounds like the more apropos word is eternal, without beginning or end. Infinite means without limits or bounds in a more general sense. As far as your description of immortal, it sounds like unless one believes in an ex nihilo starting/creation point, everything is immortal. I'll be honest I'm not sure I understand what you're saying.
Your talk about life cycles sounds like, once boiled down, to be asking if God is changeable, and scripture tells us no. But you could get rather spirited debates of what qualifies as changeable as far as the scriptures are concerned.
Hindsight is all well and good... until you trip.
Last edited by Dravin; 06-02-2012 at 08:28 PM.