Is it possible that you had a supernatural experience? Sure. We'll never rule them out completely, because there are an infinite number of mechanisms we can and can't imagine by which they could happen. Is it likely, though? Probably not, because the number of possible natural explanations is just as large.
You heard a screech, and then saw your cup flying across the room as if thrown. My first thought is that it was thrown, or at least struck, by a wild animal who got into your room. If you didn't have the fan or the air on, you probably had the window or the door open. If not, perhaps it got in earlier, and escaped when you ran out to your father. Would you have noticed as you freaked out? (Possible test: describe the squeal in detail on a wildlife forum as if you heard it outside, then listen to the suggested animals on YouTube and see if they ring a bell.)
Coming up with natural hypotheses is fun, but considering the supernatural alternatives is fun too. Say the cup was deliberately thrown by a ghost or other ethereal entity. (Note: the "aether" is actually a long-discarded scientific concept, not just a story.) Why? And why only once? Did you manage to discern some sort of message from the action? Did the cup have any significance, or the place it flew to? Since the entity would probably realise you didn't get the message, why didn't it try again?
I applaud you for the wealth of good skepticism you've already applied to this event. I know it's frustrating when you're still left without an explanation, and the prospect remains that you'll never really know. I hope I've made you a little more optimistic that there is a natural explanation to be had, even if you don't find it.
Good luck in any case.
- SmartLX
The Second Law of Thermodynamics states that the total entropy in a closed system must increase. The Earth by itself isn't a closed system; the Sun provides it with energy by increasing its own entropy by huge amounts via fusion reactions. That means that entropy in another part of the system can decrease without breaking the Second Law.
I've explained it more thoroughly here, but just think about it for a second. If order and complexity could never increase anywhere, you couldn't build anything, arrange anything or form a coherent thought. There must be a way.
It's unlikely that what exploded in the Big Bang was a total void. It was the entire current universe squashed into one tiny dot. We don't know how it got there; maybe it came from another universe, maybe something compressed the universe into a dot, or maybe it really did pop out of "nothing". That last one isn't quite as silly as it sounds, because some quantum theories actually do allow for it by positing that "nothing" is really a sort of quantum foam of potentiality.
We don't really know that the Big Bang was what created everything; we're just mostly sure that everything there is was in the Big Bang. It might have all existed forever, and just spent a bit of time squashed into the dot.
Thinking of the Big Bang as an explosion is a bit too simple. An explosion destroys things around it; since everything was in the Bang itself, there was nothing around it to destroy. Once all the debris was floating free, gravity brought some of it back together to form rocks and stars. Stars create vast amounts of entropy, so any rock receiving energy from a star is part of its closed system and a certain amount of order and complexity is free to emerge there. This is how microbes were able to come about (though it's not exactly how they came about; that's a bit more complicated).
Plants actually evolved from seagoing creatures. Once the oceans were teeming with ultra-primitive life, masses of it was bound to wash up on the shores of Pangaea (the single pre-drift continent). Most of that organic matter would have died, but a tiny fraction of organisms would have been able to use their existing abilities to sink safely into the sand or soil, and stick one piece up to get some sunlight. It was natural selection in all its glory; if you throw enough different kinds of crap at the wall, something is bound to stick.
Go ahead and reply with your objections if something still doesn't seem feasible. Don't worry about ticking us off. That's what we're here for.
- SmartLX