This happened about 3400 years ago, and now I owned to the same tribe

This happened about 3400 years ago, and now I owned to the same tribe, that Moses and Aaron - the Levites - met again to visit the holy mountain, but just look at it not with the foot, as did the Israelis, as above. 
Maybe, I hoped to find on the mountain some ancient ruins or the certificate of those times, when people saw the Lord and heard him say to Moses? Of course not (at least, so I am prompted logic ...). Events associated with delivery of the Ten Commandments, have left no physical trace. The only thing that I expected to find this cave, or something like it. Again, when the Bible refers to Mount Sinai, was the story of Elijah the prophet, which occurred after the Exodus. After he killed the priests of Baal, he had to flee to the Sinai Peninsula. There, the angel brought him to the cave on Mount Sinai, where he found refuge. I thought that the millennium could save the cave, and I might be able to see it. 
We circled over the mountain a few times, but I did not find anything interesting in it. Then I asked the pilot to climb above a few times to fly over the summit. I made a few images that have documented how the top of the mountain looks like. Weather changes: it became cloudy and windy. The pilot offered to turn back and go home, but I remained a little film, and I asked him once again fly over the top of the mountain. There were a few topographical features that I wanted to look again.