Flavor-oscillation clocks, continuous quantum measurements and a violation of Einstein equivalence principle

Details Flavor-oscillation clocks, continuous quantum measurements and a violation of Einstein equivalence principle Flavor-oscillation clocks, continuous quantum measurements and a violation of Einstein equivalence principle

1999-11-28

arxiv.org/abs/gr-qc/9911112v1

Mod.Phys.Lett. A14 (1999) 2545-2556

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, accepted in Mod. Phys. Letts.A

Scientific paper

10.1142/S0217732399002662

The relation between Einstein equivalence principle and a continuous quantum measurement is analyzed in the context of the recently proposed flavor-oscillation clocks, an idea pioneered by Ahluwalia and Burgard (Gen. Rel Grav. Errata 29, 681 (1997)). We will calculate the measurement outputs if a flavor-oscillation clock, which is immersed in a gravitational field, is subject to a continuous quantum measurement. Afterwards, resorting to the weak equivalence principle, we obtain the corresponding quantities in a freely falling reference frame. Finally, comparing this last result with the measurement outputs that would appear in a Minkowskian spacetime it will be found that they do not coincide, in other words, we have a violation of Einstein equivalence principle. This violation appears in two different forms, namely: (i) the oscillation frequency in a freely falling reference frame does not match with the case predicted by general relativity, a feature previously obtained by Ahluwalia; (ii) the probability distribution of the measurement outputs, obtained by an observer in a freely falling reference frame, does not coincide with the results that would appear in the case of a Minkowskian spacetime.

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