  In this letter, I show that Planck's quantum of action $\hbar$ varies
proportionally to Newton's constant $G$ in entangled relativity, which
manifests an explicit connection between the quantum and the gravitational
worlds. On the other hand, the quantum parameter that appears in the phase of
the path integral formulation of the theory is a quantum of energy squared
$\epsilon^2$ -- instead of a quantum of action. I show that the value of this
quantum of energy is set to be the Planck energy by the \textit{semiclassical}
limit of the theory for which the gravitational interaction can safely be
assumed to be classical and to vary slowly with respect to the time-scale of
quantum phenomena. It follows that there is no fundamental notion of elementary
units of time and space in this theory, providing an interesting circumstantial
evidence that this theory might be well behaved at the Planck energy scale.
