Nabeshin said:
A force is no more real or correct than a geometrical explanation of gravity is.
I think what you're saying here is that they are essentially interchangable ideas. If so, I'm inclined to disagree. Gravity as a force is very different from gravity as geometry. This can be understood by looking at a definition of a force found here, http://www.uoregon.edu/~struct/cours..._lecture4.html:
"A "force" is an action that changes, or tends to change, the state of motion of the body upon which it acts."
What this is saying, is that a "force" has energy that does work to an object. So, when gravity is a force, it
acts upon objects. Contrairily, when we look at gravity as geometry, it's no longer something that has energy or does work. Instead, it simply becomes a "path" that an object with it's
own energy follows. In one scenario, gravity is active. In the other it is passive. There is a very big difference between these.
Nabeshin said:
I have to use other notions in order to describe this mystical "action at a distance".
The geometrical explanation of gravity still leaves "mystical" loopholes. Here's a link (courtesy of another user from another thread) that describes, very simply, how gravity works.
http://www.adamtoons.de/physics/gravitation.swf . If you click on the "help" button at the bottom of the page and then the "examples" header at the top of the next page, you find this quote:
"When you push play, you see in the 3-D view, how the object is moving along its world line. The world line changes it's direction in regard to the dimensions because it is taking the straightest possible way."
This is the geometric view of gravity. It states that objects return to Earth because "it is the straightest possible way". However, there are countless geodesics or "straightest ways" that an object can follow
depending on where it is going. So the "mystical" loophole that we can't avoid is, where is the object trying to go?
Think about this:
"The world line changes it's direction...because it is taking the straightest possible way."
So if we ask, "The straightest possible way to where?" the answer is Earth. So if we ask, "Why is it's energy directed at the Earth?"
Then, the we are brought back to the initial statement, "because it's the straightest possible way."
This is more circular reasoning!
Nabeshin said:
...I don't think attributing gravity to tiny, mass-less particles is any more rewarding or true a description than the geometrical definition. In fact, I prefer the geometric one!
I think that gravitons are an attempt to explain the force of gravity (I'm not partial to gravitons one way or the other). Unfortunately, there is still something that even gravitons can't explain - basic, pure energy.