Sagnac effect in a rotating frame of reference. Relativistic Zeno paradox

Grigorii B. Malykin

Guido Rizzi, Matteo Luca Ruggiero

Benno H. W. Hendriks, Gerard Nienhuis

B H W Hendricks, Gerard Nienhuis

The authors consider the Sagnac effect from the point of view of a co-rotating observer. They give for both matter and light waves the fully relativistic evolution equations in the rotating frame of reference. In the nonrelativistic limit the Sagnac effect is similar to the Aharonov-Bohm effect. This similarity shows that the Sagnac effect is a manifestation of Berry's phase.

David Atkinson

Bjørn Jensen

We canonically quantize a spin-less non-relativistic point particle in a rigidly rotating cylinder symmetric reference system. The resulting quantum mechanics is investigated in the case of both a two-dimensional cylindrical shell and in the case of the full rotating cylinder; in both cases energy eigenstates exist which exhibit rotation induced negative energies. Based on a reanalysis of the classical Sagnac effect a novel way to compute the quantum Sagnac phase shift is deduced. It is pointed out that certain states on both the cylindrical shell and in the bulk give rise to a novel anomalous quantum Sagnac effect.