  Recent developments in quantum gravity have shown the Lorentzian treatment to
be a fruitful approach towards the emergence of macroscopic spacetimes. In this
paper, we discuss another related aspect of the Lorentzian treatment: we argue
that collective quantum coherence may provide a simple mechanism for
highlighting symmetric configurations over generic non-symmetric ones. After
presenting the general framework of the mechanism, we show the phenomenon in
some concrete simple examples in the randomly connected tensor network, which
is tightly related to a certain model of quantum gravity, i.e., the canonical
tensor model. We find large peaks at configurations invariant under Lie-group
symmetries as well as a preference for charge quantization, even in the Abelian
case. In future study, this simple mechanism may provide a way to analyze the
emergence of macroscopic spacetimes with global symmetries as well as various
other symmetries existing in nature, which are usually postulated.
