@ Anew,
This would assume God is an entity that operates outside of science. I think God created science and operates within the confines of it.
I think levitation or at least the reduction of weight might be possible.
If you look at Ed Leedskalin at Coral Castle in Florida. This 5 foot tall man built a fortress of rock using only a large Tripod and various tools. Some of the stones weighed upwards of 30 tons. Skeptics will say block and tackle is enough, but he was a small man and his block and tackle were not all that great. He had a 9 ton rock balanced so perfectly upon a metal disk that the door (rock gate) could move open with a finger. When the disk whore out after his death they used modern equipment and still could not do as fine a job.
Not only did he build it, but he moved the entire display 30 miles. A truck driver would leave the truck there overnight and come and get it in the morning. The driver claims once he returned after half hour and Ed had already had half the truck full. Kids claimed to have seen levitating rocks. He even said he knew the secrets of the Egyptians.
One of the debunking photos shows him moving the rock far enough away from the Tripods center that I question how it is possible.
The Giza pyramids themselves seem odd as some of the stones inside are over 70 tons. There is a papyrus showing hundreds of Egyptians dragging a statue that many skeptics claim is proof everything was dragged, but many forget the Giza pyramids were as old to King Tut as the Roman Ruins are to us today. The Egyptians seem to have lost knowledge at some point.
Now there was an ancient culture (Pre Egyptian) called The Sumerians. They believed physics could be described in Octaves like sound.
Oddly a scientist from our generation named Walter Russell had also developed a Theory of Everything based upon sound/octaves.
If this is true it would allow things like astrology to be scientific, and rewrite physics as we know it.
Nicola Tesla Added a footnote in one of his books and told him his ideas were ahead of his time.
Walter Cronkite said, "Walter Russell was the Leonardo Da Vinci of our time." upon his death.
Walter Russell had identified and presented Plutonium in 1926 years before it was actually discovered. These are facts.
http://en.wikipedia.org/wiki/Walter_Russell
Here is a free PDF book by him entitled, "A new concept of the Universe"
http://abundanthope.net/artman2/uploads/1/The_New_Concept.pdf
He does challenge Gravity as we know it, just look for the right chapter. It is a fun read.
Even if Walter Russell is not correct I think there is something fundamental we are missing in science.