Feynman arrow addition in Pi-Space. Basically, the path of least time is the path the particle takes which has a probability of existing over time t. Draw an arrow representing each path and add them together. The probability is proportional to the smallest diameters squared to get the overall area change. The greater the arrow length, the smaller the Pi-Shells on the path is over time t. Adding the arrows is Pi-Shell addition. We square the arrow lengths.
Note: In the diagram below, the path with probability of 0.8 should have smaller Pi-Shells on this path A versus path B with probability of 0.4. So the probability is related to the diameter shrinkage. We square it to get the area which is Pi-Space addition. See Introduction to Pi-Space.
Therefore arrow length is proportional to relative diameter loss. The smaller Field point Pi-Shells are the path most travelled over time t and which increases their probability.
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