As for what I mean by the laws of thermodynamics and conservation of angular momentum being a function of probability, please examine the below diagram:
The spring is a pull spring between the jar and the floor of this box.
The air molecules are hitting the inner surfaces of the jar at random.
If the air molecules are hitting the inner surfaces of the jar at random, then there is a very, very small–but non zero–chance that almost all of the air molecules will only hit the underside of the jar lid.
If we wait long enough (probably longer than the lifespan of the Universe), then this will happen.
When this does happen, the jar will fly upward against the resistance of the spring, and stick to the box ceiling because of the Velcro.
So, this raises several questions: There is now potential energy in the pull spring, so where did this energy come from?
My answer is that this thought experiment demonstrates that what we perceive as the 1st law of thermodynamics is a function of probability.
Further, I can just as easily argue that the jar flying upward and sticking to the velcro is a violation of the law of conservation of angular momentum.
Also, there is now less entropy inside the box than before.
So . . . I can claim that it isn’t possible (by this thought experiment) to violate one law of thermodynamics without violation both of them (and the law of conservation of angular momentum) at the same time.
I feel that this has implications when discussing the Big Bang in an eternal Universe, because if we “wait” (assuming that we can keep track of time if entropy is at a maximum) long enough after the heat death of the Universe, then everything will–by chance—shuffle itself into a state of minimum entropy . . . and this statistical anomally is what we interpret as the Big Bang.
My issue is that this idea does not explain dark matter and it doesn’t explain inflation.
If this random reshuffling is all there is to it, then I would expect the Universe to expand symetrically and steadily in all directions . . . yet inflation seems (if I interpret the idea correctly) to require that the expansion stops, and then starts again.
So, I believe I can defend the idea that the Big Bang happened as a statistical fluke that is 100% likely to occur in an infinite amount of time . . . but I have nothing to say about the mechanics of cosmic expansion or dark matter.
If my thought experiment with the jar is correct, then the smaller the jar . . . the greater the odds of seeing it fly upward against the spring.
So, what if the jar is truly microscopic?
In Brownian Motion, we see pollen grains dancing around at random in a drop of water because the sides of the pollen grain are being hit by drastically different numbers of water molecules at the same time.
If I attached a tiny bungee cord to the pollen grain (like a ball and chain), Brownian motion could cause the mass of the pollen grain to pull against the elastic resistance of the bungee cord, and we have the same thing as my thought experiment with the jar in the sealed box . . . but just on a smaller scale.