Quantum mechanics, based on the SchrAdinger equation (and its
relativistic Dirac's extension) is a statistical theory, here
denominated as Statistical Quantum Mechanics (SQM), to
differentiate it from the new part of the quantum theory, provided
in PART I and II, denominated Individual-particles Quantum
Mechanics (IQM). Both of them are necessary components of the
quantum theory, as are the Classical Mechanics for Individual
objects (ICM), based on the Newton equations, Hamiltonian-Jacobi
equations or the Euler-Lagrange equation of motion of individual
objects, and the Statistical Classical Mechanics (SCM) based on the
Liouville equations. The SQM tells us the various possible outcomes
of experiments and the corresponding probabilities if we would do a
large number of identical experiments on individual quantum
systems. The SQM systems are not all identical but this is the same
type of fluctuation that occurs in classical statistical
descriptions in SCM. At first sight the situation may not appear
very different therefore from the description provided by classical
statistical mechanics. In that case however, we have an underlying
description (ICM) that provides a complete (i.e. non-statistical)
description of the world, which in general is far too complex,
however, to be of use. The last PART III of this trilogy is
dedicated to the completion of the whole theoretical mechanics,
both classical and quantum inside a 9-D time-space manifold of the
Universe. Only in this final third volume, this IQM theory,
dedicated in the first two volumes only to the elementary
particles, is extended also to the non-elementary particles (like
hadrons, nucleus, atoms, molecules, and all every-day objects in
our common life, up to the biggest non-elementary particles, like
the planets, stars, etc.) in our unique Universe. So, each object
in our Universe, from the smallest (elementary) to the biggest, can
be mathematically expressed by the same mathematical 9-D complex
field expression, in a unifying way at which the physical
determinism holds for the individual objects at all micro-macro
scales in our Universe.
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