Quote:
Originally Posted by 1BigOT
Pictures 3 and 4 are not possible, yet this is what you need to believe to adhere to water sticking to the side of a big space rock and forming it into a land/water sphere. This is the mountain of water question.
I guess I need to clarify because you're unable to differentiate between the pictures based on size and perspective.
Picture 1 is what we see if we take an extremely small cross section of the earth. The land looks flat and the water looks flat
Picture 1 is NOT possible if we take a big enough cross section of the earth. For example, say the endpoints of the picture were just off the coasts of LA and Tokyo. If we cut directly through the earth in a straight line, the water would then look like a mound compared to the land, but it would look correct compared to the overall shape of the earth (e.g. the surface of the water would be the same distance from the center of the earth)
Picture 2 is what we see if we take an extremely small cross section of the earth. We see a mound at the bottom (of a lake, for example) but the water looks flat.
Picture 2 is NOT possible if we take a big enough cross section of the earth. For example, say the endpoints are again just off the coasts of LA and Tokyo. If the earth curved perfectly between those two points, the water layer would be exactly the same depth for the entire distance; there would not be any spot deeper than any other.
Picture 3 is NOT possible if we take an extremely small cross section of the earth. Again, we see this in example 2 - the water doesn't become equidistant from the bottom of the container it is in, it becomes equidistant from the center of the earth.
Picture 3 is IS possible if we take a big enough cross section of the earth. As pointed out in my statement above, for a large enough cross section the bottom of the container is similar to the curvature of the earth and so the surface of the water is equidistant from the center of the earth and from the bottom of the container.
Picture 4 is not possible period. It doesn't matter how big or small a section you take, the surface of the water cannot be equidistant from the center of anything.