  Most particle detectors are based on the hypothesis that particles are
emitted randomly upon nuclear decay. In the present work, we tested the
hypothesis of the existence of correlation in the random trajectories of alpha
particles emitted from ${}^{241}$Am source and the null hypothesis of random
trajectories. The trajectories were clued through the registration of track in
a solid-state nuclear track detector. The experimental parameters were
optimized to identify the possible sources of correlation in the track
registration and the detector conditions upon exposure and etching to avoid
misleading results. The optimization included authentication of linearity in
registration efficiency with exposure time to prevent coalescence of registered
tracks. The statistical inference processes were based upon adaptive quadrates
analysis of the spatial data, and entropy and divergence analysis of the
quadrate data together with the null hypothesis of Poisson distribution of
random trajectories. The clustering and dispersion analysis were performed with
central deviation tendency, empirical K-function, radial distribution analysis,
and proximity Analysis. Results showed a pattern of gained information within
the registered tracks that may be attributed to the alteration in the alpha
particles' trajectories induced by the strong electric field due to atoms in
the source compound and encapsulation film.
