Cool so we'll start with curvature here
According to the exact curvature formula that you used, person standing 5 Feed above the ground has a should have a visibility of ~2.8 miles before the earth supposedly curves. The value of that curvature should be ~3 feet
At an elevation of 40,000(higher than planes usually fly), visibility should be ~245 miles before the earth supposedly curves. The value of that curvature should be around 30,000 feet, or a little over 5 miles of the earth curving down and away from you, out of line of sight
What you don't seem to understand, is that there actually have been people who tested these values in real life, in real time, with high-powered equipment
First of all, you need to show your work. You asked me for a formula, which I provided. You are now tossing out numbers with no context as to how you've reached the conclusions you have.
I'm not going to shoot you some bail by plugging in the correct numbers to the formula I provided- YOU have to do that. If I answer, I'm helping you. That is not how a debate works, and these weak, transparent tactics don't work on me.
Show me your math, and how you're plugging these numbers into that formula. I have a sneaking suspicion you don't know how, and I'm almost certain you will dodge this.
Here is the formula again: h=r-r cos(s/2r)
Falling objects:
Objects in motion seek the quickest path to achieving an "at rest" state
This is not an answer.
My question was WHY DO THINGS FALL ***DOWN***. Telling me things "seek" a path, is telling me objects are sentient, and can choose what path they take. Explain the mechanism by which they "seek" paths, Civic.
Your "explanation" is a non-explanation and reeks of scientific illiteracy. The quickest path to achieving an "at rest" state? Really? So that would mean if I dropped a stone from a plane, and held a book over that stone, the stone should climb up and land on the top of the book, because that would be quicker than falling to the Earth and would be an at rest state on top of the book.
See how dumb this sounds?
We have an explanation: general relativity. Objects all create bends/warps in spacetime, similar to a taut sheet with a stone on it. That stone creates a dip, and anything placed on that sheet will "fall" towards the center of that stone. Here is a visual demonstration of this concept:
I'm not sure what point you're trying to make with the "air" part of your post. When you fill a balloon with air, it "falls up", just like when you dive into a body of water, you tend to float up. Why doesn't gravity pull a cruise ship to the bottom of the ocean? Gravity supposedly keeps said cruise ship stuck to the ground on land correct?
It does not surprise me that you don't understand what I'm asking you.
1. The point I'm making is that you don't have an actual answer for why things fall DOWN. I asked you if I dropped a ball, why does it fall down? I intercepted you at the point of answering "buoyancy and density" (your go-to answer) because buoyancy and density does not explain why a ball does not fall up or side ways. When I drop a baseball, it is surrounded by air on all sides, meaning it is more dense and less buoyant than all the air surrounding it, but 100 times out of 100, if I dropped that ball, it falls DOWN.
If your answer (buoyancy and density) were correct, the ball would equally fall up or fall sideways. You cannot explain why it's ALWAYS DOWN.
2. Filling a balloon with air is not only completely irrelevant to the question of why does a BALL fall down, it's entirely inaccurate. Balloons do not float upwards with "air"-- they float because they are filled with Helium, a substance
lighter than air. A balloon filled with air would fall to the ground.
The reason your tired "buoyancy and density" argument fails is because buoyancy only works BECAUSE OF GRAVITY. Gravity acts on all things, including the air, meaning if a substance is lighter than air, it will sit on top of that air.
Air, like water, is a fluid, so fluid dynamics apply. The same as air is less dense than water, meaning a beach ball filled with water will float to the surface of that water and sit on top of it, going no higher, a balloon filled with helium is lighter than air, so it will float to the top of that air and sit on top of it, going no higher. This is why helium balloons don't escape into space-- beach balls don't shoot into the air after floating to the top of water.
Buoyancy requires gravity to work-- air is being pulled down by gravity, which is why Helium rises, causing the buoyant effect.
3. Ships have ballast tanks that allow the ship to remain buoyant. It's that simple. When their ballast fails, or a ship takes on water, it can absolutely sink. You have said nothing.