I just read your paper, and I have some observations. If I understand it right, the world lines you describe define the fifth dimension. Also, I believe you said that this is equivalent to fields. The dynamic history is then equivalent to waves in the fields. In my interpretation, this would make random fluctuations in the fields. These random fluctuations could then be noise that results in the random locations of photons in the double slit experiment. If you read this, I would like to know if I make any sense at all.

Thanks,