We define relationships between t_i, t_k and t_l in terms of;
t_i = t_l + 1
t_k + t_l = 2t_i
t_k = t_i + 1
Relations between particle numbers.
We noted earlier that we wanted to pay particular attention to the inverse relationship between N and P_1, or more generally P_i and t_i. If P_i is a measure of space, the distance between points, then as N approaches infinity we expect P_1 to approach zero, but to never actually be zero. In other words, as the distance between two points becomes zero N becomes infinitely large.
The reason for highlighting this relationship is that it hides an important symmetry which we will try to expose in future posts.
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