It is the spirit that act as a cohesive force, the glue or communicator between the other two dimensions. Without the life giving spirit body and soul cannot coexist. If however the spirit , the soul and the body existed in entirely different dimensions, they could not have interacted as it really does. It should therefore be assumed that they share at least some dimensions with each other. Just as any two perpendicular lines share one common point, or two perpendicular planes share one common line, the three fields of spirit, soul and body must be sharing some points together, either together or pair wise.
Time is one dimension is common to all the three - or at least by soul and body.
But in order to explain the power of the spirit over the body, mind over matter, some other contacts must be present. Each reality exists in several dimensions of their own and shares one or more dimensions with each other. Intense interactions takes place between these three fields thus constituting man. We can consider these as sheaths in the traditional Vedic approach of Kosa. I am encouraged and justifies by a similar interpretation given by our Early Father Justin Martyr, the second century father of Christian Apologetics.