# Back reaction of clocks and limitations on observability in closed systems

@article{Casher2000BackRO, title={Back reaction of clocks and limitations on observability in closed systems}, author={Aharon Casher and Benni Reznik}, journal={Physical Review A}, year={2000}, volume={62}, pages={042104} }

Measurements are ordinarily described with respect to absolute ``Newtonian'' time. In reality, however, the switching-on of the measuring device at the instance of the measurement requires a timing device. Hence the classical time t must be replaced by a suitable quantum time variable \ensuremath{\tau} of a physical clock. The main issue raised in this paper is that while doing so, we can no longer neglect the back reaction due to the measurement on the clock. For a von Neumann measurement… Expand

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#### References

SHOWING 1-10 OF 20 REFERENCES

Time as an Ovservable

- Proceeding of the 10th Max Born Symposium
- 1997

Class. and Quant. Grav

- Class. and Quant. Grav
- 1992

Proceeding of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics

- World Scientific)
- 1992

Phys

- Rev. D 42 2638,
- 1990

Phys

- Lett. B334, 472,
- 1990

Phys. Rev. D

- Phys. Rev. D
- 1990

Phys

- Rev. D40 2598
- 1989

Phys. Rev

- Phys. Rev
- 1989

Phys

- Rev. A57, 4130
- 1988

Phys. Rev. A57

- Phys. Rev. A57
- 1988