Page 84 - Anatomy of a Robot
P. 84

02_200256_CH02/Bergren  4/17/03  11:24 AM  Page 69
                                                                                  CONTROL SYSTEMS 69
                            Space
                            Well, if it’s not bad enough having to worry about just what time is, Einstein threw
                            another monkeywrench into our collective thinking. The General Theory of Relativity
                            holds that the fabric of space itself isn’t just a series of straight perpendicular lines like
                            some street pattern, but rather it’s curved and changing! He came up with this theory
                            using a truly beautiful “thought experiment.” Instead of working in a lab, Einstein sat
                            down and pictured the experiment in his head. Here’s how his thinking went.
                              Suppose we are sitting in a room in far outerspace where no gravity exists. Two holes
                            are in the wall, one to the left and another to the right. A beam of light comes in one
                            wall and out through the other. It does not take long for the beam of light to cross the
                            room at light speed. Light travels one foot per a billionth of a second (see Figure 2-32).
                              Now, if you accelerate the room upward at 32 feet/second/second (1 G of gravity),
                            when the next beam of light comes through the first hole, it won’t make it out through
                            the second hole (which has now moved). From our standpoint sitting the the room, the
                            light beam curves after it enters the room and hits the wall too low (see Figure 2-33).
                              Now suppose instead of acceleration, we put the earth immediately under the room.
                            From our standpoint sitting in the room, we could not tell the difference. We still expe-
                            rience 1 G of accelerative force under us. The beam of light comes in the first hole and
                            still bends down to hit the wall below the second hole (refer to Figure 2-33).






                                                  Light Beam










                                          Room in Deep Space





                                                    No Gravity
                            FIGURE 2-32 Einstein’s thought-experiment: Light moves straight in the
                            absence of gravity.
   79   80   81   82   83   84   85   86   87   88   89