' V / ’ x \j / - v V ~ unique value to r*, but makes r* a random variable whose probability density function is proportional to the convolution of 0 and y. For example if r*0 and v*0 have probability density functions (refer to Figure 6): then the density function for r* would appear as Figure 7 The base of r* would spread outward with time similar in idea to the spreading wave packet found in Quantum Physics. As time increases, we are less certain of where the “system"’ (or in this case, object) in fact actually is. We note that nothing has been discussed of the energy of the system, only the position and velocity, as it is assumed these are the only variables which can be directly measured. Now consider another dynamic case where a collision may in fact occur. This system is comprised of two loaded guns aimed at a similar point in space (refer to Figure 8):
RkJQdWJsaXNoZXIy MTU5NjU0Mg==