Wow... what a post.
I'll try to answer what I can, but limiting myself to English (which I'm not that good at) and not including math (which I'm better at) will make this rather challenging.
Stuff worth considering. It's frustrating sometimes when I see descriptions of the effect of something confused with the definition of the "something" itself. "It does this and we see that" etc. no, No NO! What IS IT? Not "what does it do"!...
Science often seems full of self-referential explanations that describe the EFFECT without eally defining the thing. Ex. Q. What is grass? Science: Well, it's green and grows in your yard. Uh, yeah, I SEE that. But what is it?
You are quite right, and science isn't the only school of thought that is guilty of it either. At the dawn of the 20th century mathematicians thought that they were on the verge of having the perfect logical structure... only to have Gödel show that the system was self-referencing.
And to a large degree isn't physics an attempt by the universe (of which we are part) to explain itself?
As for your box question, it makes for an interesting puzzle, but setting up such a puzzle so that it didn't violate the very system it is designed to test makes it difficult. And the study of where our understanding breaks down is of quite a lot of interest, which is called singularity theory.
For example, black holes start punching holes in the mathematics. In the last set of equations I originally posted, if the radius of the body of total mass
M is less than or equal to 2
M, the equations stop functioning the way one would expect. And that is why the event horizon is defined as the spherical boundary of radius 2
M from a black hole.
Natural black holes form by collapsing on themselves, but that doesn't mean that a small mass
M couldn't be crushed to a radius of less than 2
M. It just wouldn't have the ability to sustain itself without external energy.
Clearly space/time exists. It has an observable effect. We effect it. It effects US. It is therefore a "Thing" (as opposed to being a "nothing"). Even if space/time and/or gravity is purely a phenomenon--an "effect" related to other causes, there is an OBJECTIVE motivator at the heart of it all. (Think of, say, wind, being an illusion. It is not a "thing" at all but the EFFECT of moving air masses--could gravity therefore be an "illusion" similar to the way wind might be described as such?)
Sure.
One of the most amazing things Einstein put forward in his arguments was some very straight forward mental experiments. For gravitation a room constantly accelerating actually covers much of the important aspects. A person inside the room can't tell if they are on the surface of a large body or in the middle of empty space in a state of constant acceleration. Even the bending of light can be produced in this experiment. By shooting a beam of light perpendicular to the rooms path from a stationary point, if the room is accelerating fast enough the light would enter the room on one side at a right angle, by the time it reached the other side it's angle would be off by a small amount (in the rooms frame of reference).
So in a real sense gravity could be thought of as similar a centrifugal force (in nature, not action). Centrifugal force is the opposite reaction to centripetal force. In the accelerating room there would have to be some force accelerating the room, so the room presents a force on objects within it the seems like gravity. So if gravity also
seems like gravity, then the real force present would be the ground pushing back against us.
And in the same sense the weightlessness that astronauts feel is also an illusion as the gravitational effect of the Earth isn't really all that much less in orbit. The spacecraft are in a constant state of free fall, but are just missing the Earth. That free fall negates the effect of gravity in the same way that constant acceleration would create those same effects.
So the fact that reference frames exist that can either simulate or negate gravity does lean a strong argument to the idea that gravity as a force is an illusion. But that was what I was getting at earlier with the dual nature of gravity as both
geometry and
force, both perspectives are important.
Ex. Is time travel possible?
Answer. ABSOLUTELY. We all do it every day. 1 second per second into the future. Therefore the question becomes NOT "Is time travel possible" as, CLEARLY it is, but rather, is it possible to control the direction and speed we travel through time?
The funny thing about time travel is that there is a lot of stuff often overlooked.
Lets say we wanted to travel back to 6 months ago. If we were setting the Earth as our center of reference, then we might travel with it to where it was. But what if the Sun was the center of reference? Then we would pop up here but the Earth would be on the other side of the Sun from us (about 17 light minutes away).
Or what if we wanted to go back in time 40 years? And lets say that the center of the Milky Way was our reference point, then we would pop up here, but the Sun and Earth would be between 10 and 11 light days away. And that isn't even taking into account that the universe isn't the same either. The universe was a smaller place 40 years ago.
All these types of things are really fun to think about. It was questions just like yours that started me studying this area when I was a kid and those questions are not less interesting to me today than they were back then!
And sorry if any of that was unclear... I haven't had a lot of recent experience talking about this area in more general terms. I'm sure I missed some aspects that are important and I'm just not seeing them.