at 6:57 pm traveling from Charlotte NC to West palm beach I was taking pictures of planes shadows on the clouds at 36,000 ft above savanah GA.. I know this because piolot had just made announcment. I observed a shpere heading on parralel course about 50 yards off to the left side of plane !! it was traveling in oppisite direction of the plane... I When we landed i asked the pilot if he had witnessed anything at that time ater his announcement... he said NO.. but he asked me a few questions which led me to beleive otherwise.