Gravitational Potential - Matter vs Mind - Body

This is a continuation of previous posts on the mind-body problem of consciousness.

In Neo-Newtonian Cosmology the gravitational potential $\phi (x,t)$ is immaterial, omnipresent and primordial assigning mass density $\rho (x,t)$ to matter by the action of the Laplacian differential operator $\Delta$ acting without delay on the Euclidean space coordinate $x$ for all time $t$:

• $\rho (x,t) = \Delta\phi (x,t)$              (1)

Immaterial potential thus meets material mass density in (1) as instant top-down local assignment. Material matter moves by gravitational force field $\nabla\phi$ according to Newtons laws of motion

• $\dot u = -\nabla\phi$            (2a)
• $\dot x =u$,                                        (2b)

where $u$ is material velocity, $x$ is position and the dot signifies differentiation with respect to time. There is also a feed back from mass density distribution $\rho$ to gravitational potential as solution of the equation $\Delta\phi =\rho$ as a slow bottom-up global process. 

We can find a parallel as connection between an immaterial omnipresent mind/soul and material body of a human being. The mind top-down assigns meaning/life to all the cells making up the body. There is also a bottom-up process giving sensory feed back from the body to the mind. The mind is then different from the material brain and embraces the whole body like the gravitational field embraces the Universe. 

The material brain would serve a crucial role of processing sensory input in an analog of (2) into planning and action, but the mind would stretch outside the brain.

It thus seems possible to relate ideas about morphic fields presented by Rupert Sheldrake to physics as a synthesis of immaterial and material or mind and body.  

It is natural to compare with Leibniz idea of pre-established harmony as a form of parallelism between gravitational potential and mass density in the form $\Delta\phi =\rho$, where neither $\phi$ nor $\rho$ has clear primordial priority. They just go together in a perfect way without discussion. The above argument can accommodate also Leibniz view.