This is by no means correct in any way. I do consider it to be a "real" science question though. It's simply the questions of someone who can't sleep at night. If anyone knows of an existing theory similar to this or knows of material that's relevant (bonus points for video) then feel free to post it.
The main question is this: If a rubber ducky displaces water in a full fish tank (overflow), do we displace matter / space / whatever as well? Initially, I would say no simply because we are already in the universe so far as we know. If a rubber ducky is already in a fish tank, then moving it around shouldn't really displace more water other than moving the water around (no overflow).
So, allow me to look at this another way. You have a fish tank full of water. You empty every drop of water into a bunch of water bottles. Initially the water bottles were full of air. As you add the water, air is displaced from the water bottle and in put into the fish tank (in a closed system). In the end, you 'basically' have a fish tank full of air and several water bottles full of water.
Take that a step further. An astronaut fills a tank full of air on earth. He goes into space and we now have this little 'bubble' in the vacuum of space. His suit and the tank took air from earth, so what would fill the gap? Does the atmosphere deflate ever so slightly whenever we go into space?
Take that yet another step further. You have a water bottle full of water. You tilt it upside-down and release about 100ml of water. Water comes out of the bottle and into our fish tank. Air from the fish tank is put back into the water bottle. So, if we go back to our astronaut, he goes out into space taking some air from earth with him. The atmosphere deflates ever so slightly and space / matter from the other end of the universe is displaced ever so slightly???!?
So basically, do we displace space / matter within the entire universe just by moving?
Keep in mind I realize that sounds absolutely bonkers, I'm not trying to justify this theory. I'm trying to explain my confusion and get someone to explain why this isn't the case.
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