Gravity

What is going on with this theory of gravity...

I recently read this great article by Dennis Overbye in the New York Times:
http://www.nytimes.com/2010/07/13/science/13gravity.html?_r=2   

It got me completely curious.  What is this guy talking about??? 

I went to his paper here:  http://arxiv.org/PS_cache/arxiv/pdf/1001/1001.0785v1.pdf

but found my self confused.  Being a layman and it being 16 years since I have had a physics class, I was quite perplexed.

So, I started to do some searching on some basics of gravity and found the following really great movie:
What On Earth Is Wrong With Gravity?
In summary, it says:
  
Newton predicted the efffects of gravity:  An apple falls to the ground from a tree and it is the natural attraction between objects that appeared to Newton, to be the cause.

Einstein worked out why gravity exists. We all see space as dark empty and black.  Einstein, saw space as a type of fabric.  So the earth and us, as we spin and move through space, stretch this space fabric.   The closer you are to the earth, the stronger the gravitational field.   The further you are out in space, the weaker the gravitational field. What he theorized and was later proven was that this space fabric is time.  The stronger the gravitational field, the slower time moves.   The further you are away from a gravitational field, the faster time moves.

Satellites, like those used by the Global Positioning System (GPS) have to constantly be re-synchronized with the clocks here on earth.  They in fact, run faster.

More to follow...