> And you don't have to leave your frame of reference to see a difference between acceleration and gravity, they are distinguishable in any frame of reference.
You're clearly presenting an idealized situation, which is fine. You've chosen a non-idealized (or less idealized) gravitational field, which is also fine. But the convention when talking about this particular subject is to also idealize gravity and take it as being the same everywhere. If somebody reads this statement with the usual definition of gravity, they might get the wrong idea.
All it needs is some signal that the gravity you're using is different (less symmetric) than usual. It is an interesting idea, I'm just saying maybe present it a little differently so people like me don't get confused.
> And you don't have to leave your frame of reference to see a difference between acceleration and gravity, they are distinguishable in any frame of reference.
You're clearly presenting an idealized situation, which is fine. You've chosen a non-idealized (or less idealized) gravitational field, which is also fine. But the convention when talking about this particular subject is to also idealize gravity and take it as being the same everywhere. If somebody reads this statement with the usual definition of gravity, they might get the wrong idea.
All it needs is some signal that the gravity you're using is different (less symmetric) than usual. It is an interesting idea, I'm just saying maybe present it a little differently so people like me don't get confused.