re: Do you accept the notion of the Big Bang as the origin of our universe?

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Eventually the Universe will go through a Heat Death where all the stars are burned out and no new ones are being formed.

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Well, maybe. The Second Law of Thermodynamics states that the state of entropy of the entire universe, as an isolated system, will always increase over time. This is why the deduction of a "death by ice" is popular at the moment.

We know, however, that there are circumstances at play that we don't understand at all and that they can have universal implications, pardon the pun. Dark Matter, and especially Dark Force, are the biggest factors in the evolution of the Universe. Together they make up 95% of the physical Universe.

I emphasized Dark Force because it seems to be variable. 5-6 billion years ago it grew strong enough to overcome the attractive force of gravity. That's one thought. Another is that it was gravity itself that changed. It became repulsive over long distances but remained attractive locally. We refer to the effect as "dark" because we don't know which is correct at this time.

Also, we don't know that the Universe is a closed system. There are indications that it might be linked to other Universes. M-Theory, Dark Flow and the Hole in the Universe are some of the proposals that support the idea that our Universe is intimately linked to others in a Multiverse.