  This research aims to model tracks the evolution of opinions among agents and
their collective dynamics, and mathematically represents the resonance of
opinions and echo chamber effects within the filter bubble by including
non-physical factors such as misinformation and confirmation bias, known as FP
ghosting phenomena.The indeterminate ghost phenomenon, a social science concept
similar to the uncertainty principle, depicts the variability of social opinion
by incorporating information uncertainty and nonlinearities in opinion
formation into the model. Furthermore, by introducing the Kubo formula and the
Matsubara form of the Green's function, we mathematically express temporal
effects and model how past, present, and future opinions interact to reveal the
mechanisms of opinion divergence and aggregation. Our model uses multiple
parameters, including population density and extremes of opinion generated on a
random number basis, to simulate the formation and growth of filter bubbles and
their progression to ultraviolet divergence phenomena. In this process, we
observe how resonance or disconnection of opinions within a society occurs via
a disconnection function (type la, lb, ll, lll). However, the interpretation of
the results requires careful consideration, and empirical verification is a
future challenge.Finally, we will share our hypotheses and considerations for
the model case of this paper, which is a close examination of regional
differences in media coverage and its effectiveness and considerations unique
to Japan, a disaster-prone country.
