I'm sure someone could explain this in such terms, but in non-technical terms, fermions resist being forced into the same quantum states with other fermions of similar spin. As I understand it, the Pauli exclusion principle is a balance beween the position and momentum of the fermions in accordance with the Heisenberg uncertainty principle. The more tightly compacted the fermions, the more certainly their positions are defined, and the less certainly their momentums are defined. Naively, one would expect that in a domain of very low gravitation (not very densely packed) the fermions would have well-defined energies but very poorly defined positions (broad range of possible locations). The more densely they are packed the more uncertain their momenta would become. The vacuum fields in the absence of matter will be very diffuse, and in the presence of large masses of matter, they will be densely compacted.Mike2 said:Is there a way of assigning a force-distance relationship to this Pauli exclusion principle on interstellar material? Thanks.
I'm sorry that I do not have the math skills to define the Pauli exclusion principle in terms of a force-distance relationship, but let me explain WHY I believe this to be necessary. For the gravitational energy of the vacuum fields to be exquisitely (and dynamically) fine-tuned (to 120 OOM) the forces involved must necessarily arise from the SAME field. They cannot arise from the fortuitous conspiracy of two fields, because any tiny imbalance would already have led to a disastrous collapse (or explosion) of the universe. For this reason the gravitational attraction AND the balancing repulsion must of necessity both be characteristics of the same field.