It gets rather difficult to talk about things violating causality or to think in terms of "beginning" when one of the quirky facotrs of the situation you're describing is that time fails to behave in an explicable manner under the conditions in question.
The Big Bang, if nothing else, serves as the dividing line at which point physics as we understand it seems to come into effect. People havethis idea that "before the big bang" there was nothing. "Before the big bang" is a fundamentally meaningless concept as we only know that time behaved linearly after the big bang. All that cool stuff in the core of your argument about thermodynamics and causality is tightly dependent on a unidirectional linear function of time... and there is no basis for assuming that was the case "before".
In short, we don't know if the universe had a beginning. If it did have a beginning, we don't know if it required a cause or not. Normal Rules Did Not Apply.
Gods are, of course, superfluous.
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Simple Machines in Higher Dimensions
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