  Following the previous two parts, of a work devoted to encode strong reaction
dynamics in the A. Pr\'astaro's algebraic topology of quantum super PDE's,
nonlinear quantum propagators in the observed quantum super Yang-Mills PDE,
$\hat{(YM)}[i]$, are further characterized. In particular, nonlinear quantum
propagators with non-zero defect quantum electric-charge, are interpreted as
{\em exotic-quantum supergravity} effects. As an application, the recently
discovered bound-state called $Zc(3900)$, is obtained as a neutral
quasi-particle, generated in a $Q$-quantum exotic supergravity process. {\em
Quantum entanglement} is justified by means of the algebraic topologic
structure of nonlinear quantum propagators. Quantum Cheshire cats are
considered as examples of quantum entanglements. Existence theorem for
solutions of $\hat{(YM)}[i]$ admitting negative local temperatures ({\em
quantum thermodynamic-exotic solutions}) is obtained too and related to quantum
entanglement. Such exotic solutions are used to encode Universe at the
Planck-epoch. It is proved that the Universe's expansion at the Planck epoch is
justified by the fact that it is encoded by a nonlinear quantum propagator
having thermodynamic quantum exotic components in its boundary. This effect
produces also an increasing of energy in the Universe at the Einstein epoch:
{\em Planck-epoch-legacy} on the boundary of our Universe. This is the main
source of the Universe's expansion and solves the problem of the non-apparent
energy-matter ({\em dark-energy-matter}) in the actual Universe.
Breit-Wheeler-type processes have been proved in the framework of the
Pr\'astaro's algebraic topology of quantum super Yang-Mills PDEs. Numerical
comparisons of nonlinear quantum propagators with Weinberg-Salam electroweak
theory in Standard Model are given.
