  One of the most important concepts in logic and the foundations of
mathematics may be useful in providing an explanation for the cosmological
constant problem. A connection between self-reference and consciousness has
been previously discussed due to their similar nature of making a reference to
itself. Vacuum observation has the property of self-reference and consciousness
in the sense that the observer is observing one's own reference frame of
energy. In this paper, the cyclical loop model of self-reference is applied to
the vacuum observation, such that the discrepancy between the energy density
resulting from the first part of the causal loop (i.e., the classical
irreversible computation of the observer's reference frame) and the other part
of the causal loop (i.e., nondeterministic quantum evolution) corresponds to
10^(123). This effectively provides a consistent explanation of the difference
between the observed and the theoretical values of the vacuum energy, namely,
the cosmological constant problem.
