Comment on "Immirzi parameter in quantum general relativity" - art. no. 048501

The Immirzi parameter is a free parameter which appears in the physical pre dictions of loop quantum gravity and is sometimes viewed as a quantization ambiguity. Interpretations have been offered for the Immirzi ambiguity, but there does not appear to be a clear understanding or even a consensus abou t its origin and significance. We show that a previously discussed example containing a "finite dimensional analogue" of the Immirzi ambiguity is fall acious, in the sense that the ambiguity in this example is not intrinsic to the system. but introduced artificially by compactifying the configuration space.