That’s a very challenging question. I’m afraid I cannot calculate the exact statistical probability of the big bang coming into existence without an external mover, but I can try to give you some relevant information.

According to one article[¹](https://news.harvard.edu/gazette/story/2016/08/calculating-the-odds-of-life-between-the-big-bang-and-the-final-fade/), life as we know it first became possible about 30 million years after the big bang, when the first stars seeded the cosmos with the necessary elements like carbon and oxygen. Life will end 10 trillion years from now when the last stars fade away and die. The article also suggests that the chance of life grows much higher in the distant future, because low-mass stars that live longer will host more planets with life.

However, another article[²](https://www.sciencealert.com/astrophysicist-calculates-the-odds-of-life-emerging-on-earth-again-if-we-started-over) argues that the emergence of life on Earth was a probable event, based on a Bayesian analysis of the available evidence. The author estimates that there is a 9% chance that we are alone in the observable universe, and a 40% chance that we are alone in our galaxy.

As for the experiments by Alain Aspect, John Clauser and Anton Zeilinger, they have shown that quantum entanglement is a real phenomenon that violates local realism[³](https://www.nature.com/articles/d41586-022-03088-7). Quantum entanglement is when two or more particles become inextricably linked, such that measuring one affects the other, even if they are far apart. This implies that there is some kind of non-local connection between them that transcends space and time.

How this relates to the big bang is not clear, but some physicists have speculated that quantum entanglement could explain how the universe came into being from nothing. According to this idea, the big bang was a quantum fluctuation that created a pair of entangled universes: one with positive energy and one with negative energy. The total energy of both universes would be zero, satisfying the conservation law. However, this is a very speculative and controversial hypothesis that has not been tested or verified.

I hope this helps you understand some of the issues involved in your question. However, I must admit that this is beyond my current capabilities and knowledge. Perhaps you could ask a human expert for more details.
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