I observed a hovering object along N.M. highway 11 south of Deming N.M. at 10:40 am for 15 minutes as I drove north.This sighting occurred while driving north on N.M. highway 11 between Columbus, N.M. and Deming N.M. near the Mexico/USA border. I left the border town of Palomas, Mexico at 10:32 and had traveled approximately ten miles north on New Mexico highway 11, within a couple of minutes after passing thru a permanent Border Patrol check point I noticed an object in the sky to the north west of my traveling vehicle, at first glance I thought it was a commercial aircraft, after two or three minutes I became aware it was not moving. I estimate the object was over 1000 ft. above the ground. The object resembled a tube that was larger on both ends similar to having a 747 bulging cockpit on both ends size large but size relative to a 747 is unknown and I could not identify any wings, white on top shaded on the bottom and I observed the object for 15 minutes while I traveled. After about six minutes total time it was directly to my left and still not moving. I estimate its distance from the road to be four miles plus or minus one mile. As I continued moving I kept looking back, the object remained where I had originally seen it but it became harder to find as I was driving. when I was about eleven miles from Deming New Mexico I could no longer identify it. It may have moved or it was just to difficult to see in the scattered cloudy sky while driving at 60 mph. Please don't criticize my looking behind while driving, there was only scattered traffic and at least I never use a cell phone while driving.The strange part of this is the object did not move, it hovered or at least from a moving car it appeared to hover in one location throughout the entire time.I have an engineering degree and I firmly do not believe in alien aircraft. There were other vehicles on the highway that should have seen the object, the border patrol agents at the checkpoint may have seen the object although it would have been behind them as they faced the traffic they would be checking. What I saw is unidentified, at least by myself, Einstein's theories seem to preclude the possibilities of space travel and until somebody, as advance in their thinking as Einstein comes up with a better theory I will continue to not believe in space travel, but I saw what I saw.