It is the curved nature of the membrane 
that creates the structural interpretations — and when the work is presented in a flattened 2D form for observation — the trajectory path appears to be different.

Curled phase
The trajectory path (broken line) of the drill hole follows a short and straight path in complete space (unseen).

Flattened phase
When the curl is unravelled, the trajectory path (broken line) remains the same as it was above. Yet the path seems longer, goes back in time and appears networked differently when we observe it from this (human) viewpoint.

‘I’m inclined to think that…the 3D world is an illusion. The ultimate precise reality is the 2D reality on the surface of the universe’, Leonard Susskin*

*Source: What is space? 48:30s, 2015 www.youtube.com
Note 1: The holes (3 white marks on the membrane surface) should be viewed as the vectors created within the field. They aren’t necessarily the particles themselves but the negative space that’s require for them to exist on the 2D surface.
Note 2: A second phase dimension has been neglected from these diagrams.