  In three very recent papers, (an initial paper by Morishima and Futamase, and
two subsequent papers by Morishima, Futamase, and Shimizu), it has been argued
that the observed experimental anomaly in the anomalous magnetic moment of the
muon might be explained using general relativity. It is my melancholy duty to
report that these articles are fundamentally flawed in that they fail to
correctly implement the Einstein equivalence principle of general relativity.
Insofar as one accepts the underlying logic behind these calculations (and so
rejects general relativity) the claimed effect due to the Earth's gravity will
be swamped by the effect due to Sun (by a factor of fifteen), and by the effect
due to the Galaxy (by a factor of two thousand). In contrast, insofar as one
accepts general relativity, then the claimed effect will be suppressed by an
extra factor of [(size of laboratory)/(radius of Earth)]^2. Either way, the
claimed effect is not compatible with explaining the observed experimental
anomaly in the anomalous magnetic moment of the muon.
