Hi Alfred,
The tripartite view is essential to the Synergy Physics theory which is pretty much defined by the relationships between 4 primary elements (field, space, pole, and energy). There are 6 relationships (sides of a tetrahedron) that break down into 3 dualisms (each governed by a physics constant) that seem to coincide with our notion of body, mind & soul. It is the physics constants (the constant that controls the forces between objects at varying distances, the speed of light, and planck's constant) that are at the core of the tripartite nature. It's actually a deeper structure than those constants; e.g. planck's constant applies to the gravitomagnetic realm, while the Bohr magneton applies to the electromagnetic realm. The only difference between those two constants is the charge to mass ratio of the electron. That tells me that these constants are really just two sides of the same coin sort to speak and that they both represent something more universal.
I think it's interesting to note that while there seems to be a tripartite structure to nature, each of the three parts is expressed as a dualism. Body is divided by Order vs. Chaos (or Synergy vs. Entropy). Mind is divided by Particle vs. Wave. Soul is divided by Atom vs. Light.
Now there may be more dimensions of time/space, and I wouldn't venture to say that they too would be defined by a tripartite nature.
Steve