  Dielectric spectroscopy of CaCu3Ti4O12 was performed spanning broad ranges of
temperature (10-300K) and frequency (0.5Hz-2MHz). We attribute the permittivity
step-fall to the evolution of Kirkwood-Fr\"oehlich dipole-correlations;
reducing the moment-density due to anti-parallel orienting dipoles, with
decreasing temperature. Unambiguous sub-Arrhenic dispersion of the associated
loss-peak reveals the prime role of strange kinetics; used to describe
nonlinearity-governed meso-confined/fractal systems, witnessed here for the
first time in a bulk material. Effective energy-scale is seen to follow thermal
evolution of the moment density, and the maidenly estimated correlation-length
achieves mesoscopic scale below 100K. Temperature dependence of correlations
reveals emergence of a new, parallel-dipole-orientation branch below 85K. Novel
features observed define a crossover temperature window connecting the
single-dipoles regime and the correlated moments. Conciling known results, we
suggest a fractal-like self-similar configuration of Ca/Cu-rich sub-phases;
resultant heterogeneity endowing CaCu3Ti4O12 its peculiar electrical behaviour.
