Dimensional pressure as a concept generalizes Galileo’s strength of materials scaling. For animals increased in size, weight W scales by exponent 3 while cross- sectional area A scales by exponent 2. The 3/2 ratio of dimensions requires A to increase by 3/2 k when W scales by k, to maintain weight per area, Generalizing, the D dimension experiences pressure of D+1/D.
Does D+1/D or more generally D+x/D for x >1, appear in connection with quantum particles?
No that specific stuff sounds totally foreign to QM
That notion does not exist.
You perhaps have to have a notion of size and scale to distinguish:
Elemenary particles, atoms and their size, molecules, polymers, solids and so on to
judge which theories are most applicable at each stage.
QM applicable at a microscopic size, CM at a macroscopic size....as a generality.
Dear Prof. Robert Shour
In addition to the previous answer, the equation of state can be formulated for the Fermi Dirac and Bose-Einstein statistics, on the left and right sides it contains "P .V = expression" that includes on the right one of the mentioned statistics, where fermions or bosons behave as quantum entities.
Kind Regards.
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