In the two-photon case considered in Chapter 7, the value of 1/n is 1/1 for both photons. A unit of the motion of photon X involves one unit of space and one unit of time. The time involved in this unit of motion (the time OX) can be measured by means of the registration on a clock, which is merely the temporal equivalent of a yardstick. The same clock can also be used to measure the time magnitude involved in the motion of photon Y (the time OY), but this use of the same temporal “yardstick” does not mean that the time interval OY through which Y moves is the same interval through which X moves, the interval OX, any more than using the same yardstick to measure the space traversed by Y would make it the same space that is traversed by X. The truth is that at the end of one unit of the time involved in the progression of the natural reference system (also measured by a clock), X and Y are separated by two units of total time (the time OX and the time OY), as well as by two units of space (distance). The relative speed is the increase in spatial separation, two units, divided by the increase in temporal separation, two units, or 2/2 = 1.
If an object with a lower speed v is substituted for one of the photons, so that the separation in space at the end of one unit of clock time is 1 + v instead of 2, the separation in time is also 1 + v and the relative speed is (1+ v)/(1 + v) = 1. Any process that measures the true speed rather than the space traversed during a given interval of standard clock time (the time of the progression of the natural reference system) thus arrives at unity for the speed of light irrespective of the system of reference.
I understand here the two-photon case, but to a degree I don't understand the 1 photon + lower velocity case, or the case where there are to motions m1, and m2, that are moving at slower than 1/1. For the sake of argument lets say I have to motions m1, and m2, that are both traveling at the same speed, 1/2 c, or one unit of space per two units of time, as Larson would put it. Using Einsteins Equation, vnet = (v1 + v2)/(1 + (v1v2/c^2)), we get the net motion being 4/5 c. However using the arguments from NTB (RS theory), or what I know of complex number theory in various combinations (RS2 Theory), I cannot arrive at 4/5 c. There are many differnt thoughts I have about what the ressolutoin might be, but I feel that someone on this forum might be able to just point me in the right direction.
The second question I have is when does the interaction of motion occur, in a 1D Land Line it is very easy to see in princable, at least one possible answer, when to motions intersect the collsion occurs, the quesiton however is what about in true s^3/t^1? If the motion doesn't have some sort of "fatness" it would appear that collsions are unlikey.