Complete and Incomplete Coordinate System Postulates
Using the examples given when defining Complete and Incomplete Coordinate Systems, when the velocity of the truck, v, meets or exceeds that of the bird, w, the bird in the cage will never be able to reach the front of the cage. Yet, the bird in the trailer will be able to reach the front of the trailer. Because the behavior within a Complete Coordinate System is different than in an Incomplete Coordinate System, we have to revise Einstein’s original postulates as:
- The laws by which the states of physical systems undergo change are not affected, whether those changes of state be referred to the one of the other of two Complete systems of coordinates in uniform motion.
- Any wave moves in a “stationary” or “Complete” system of coordinates with the determined velocity w, as defined by the properties of that coordinate system, whether the wave is caused by a stationary or by a moving body.
The first postulate is revised to account for Complete and Incomplete Coordinate Systems. Specifically, the postulates apply to Complete Coordinate Systems.
The second postulate is rewritten to generalize it for all types of waves. When considering electromagnetic force through a vacuum, for example, w is set to the value c, or 300,000,000 meters per second.
