Quote:
|
Originally Posted by michellemfry But is there anything that cannot be mathematically squared? |
Anything in reality should be capable of being squared. By squaring, we are really removing the directional property of the thing squared. When we square distances as by the Pythagorean theorem we are able to add them without worrying about the signs of pluses or minuses. When we square energy we don't need to explain the concept of negative energy, which was a serious problem for Dirac but he got out of this quagmire by postulating the existence of antiparticles. When we square force we change it into zero, which is neither repulsive or attractive. Therefore, the existence of force implies that it must not be squared.