Here is an interesting interview, with Carver Mead, of Caltech, arguing that it's waves all the way down;
http://worrydream.com/refs/Mead%20-%20American%20Spectator%20Interview.html
What I find interesting about waves is that they tend to either synchronize, or harmonize. What seems to be overlooked is that synchronization is inherently centripetal, while harmonization is effectively centrifugal. Which would explain why reality is composed of nodes and networks, organisms and ecosystems, particles and fields.
As Mead points out in the interview, lasers are synchronized light waves and when we consider galaxies, there tend to be quasars shooting out the poles, which are really giant lasers.
There is a great deal of effort to explain gravity beyond what is associated with mass, but gravity is a centripetal effect and galaxies are its most concentrated expression, so what if gravity is not so much a property of mass, as mass is part of the spectrum of this centripetal effect, that is most apparent as gravity?
"Spooky action at a distance" would seem logical, if we are talking synchronized waves. As well as the fact of measurement requiring its own level of synchronization.
Feedback loops would be a better framework for understanding, than dimensionality. Dimensions are an effective mapping device for space, not description of what goes on in it. As Newton put it, "For every action, there is an equal and opposite reaction."
It's not deterministic, because there is no dimension of space, since the past is consumed by the present. Cause becomes effect. Determination only occurs as the present.
Energy, as the present, goes past to future, while the patterns generated go future to past. Energy drives the wave, the fluctuations rise and fall.
It is just that our minds emerge from memory.
Just some thoughts on the subject.