  This is the last of three papers on Conformal General Relativity (CGR), which
ascribes inflation to a spontaneous breakdown of conformal symmetry, followed
by a sudden energy transfer from geometry to matter identified as big bang.
This process is driven by a conformal-invariant, unitarity-preserving
interaction of two Nambu-Goldstone fields: a ghost scalar field $\sigma$,
invested with geometric meaning, and a physical scalar field $\varphi$ behaving
like a Higgs field of varying mass. The big bang generates a bulk of Higgs
bosons at temperature $T_B\simeq 141$ GeV, after which the universe evolves
adiabatically while the Higgs bosons decay into Standard-Model particles and
the magnitude of the gravitational coupling constant decreases. The process
ends when the $\sigma$-$\varphi$ interaction potential vanishes, the amplitudes
of these fields converge to their expectation values in a final stable vacuum
and the Higgs-boson mass converges to about 126 GeV. The main aspects of this
phenomenology are qualitatively described and accurately exemplified by
numerical simulations. The combination of CGR gravitational equation at time
zero with entropy conservation equation results in striking predictions. The
best fit to astronomic data is obtained from only standard Higgs boson
parameters and a universe age of 19.5 Gyr. The cosmological constant
$\Lambda\simeq 1.35\times 10^{-35}$s$^{-2}$, the scale factor across inflation
$Z\simeq 4.54\times 10^{27}$, and the lower bound of the power spectrum of
cosmic background anisotropies $W_{min}\!\simeq 37.5\,\mu$K$^2$ are thus
predicted.
