  In 1962, Eugene P. Wigner introduced a thought experiment that highlighted
the incompatibility in quantum theory between unitary evolution and wave
function reduction in a measurement. This work resulted in a class of thought
experiments often called Wigner's Friend Scenarios, which have been providing
insights over many frameworks and interpretations of quantum theory. Recently,
a no-go theorem obtained by Daniela Frauchiger and Renato Renner brought
attention back to the Wigner's Friend and its potential of putting theories to
test. Many answers to this result pointed out how timing in the thought
experiment could be yielding a paradox. In this work, we ask what would happen
if the isolated friend in a Wigner's Friend Scenario did not share a time
reference frame with the outer observer, and time should be tracked by a
quantum clock. For this purpose, we recollect concepts provided by the theory
of quantum reference frames and the quantum resource theory of asymmetry, to
learn how to internalize time in this scenario, and introduce a model for a
feasible quantum clock proposed by Mischa P. Woods, Ralph Silva and Jonathan
Oppenheim, called the quasi-ideal clock. Our results have shown that no
decoherent behavior comes from this approach, and the disagreement between the
superobserver and its friend persists even for an imprecise clock on Wigner's
side. However, the gaussian spread of this clock model can control what
observables do not raise a paradox, indicating the relevance of deepening this
analysis.
