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Uncertainty principle

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The transactional interpretation of quantum mechanics (TIQM) describes quantum interactions in terms of a standing wave formed by retarded (forward-in-time) and advanced (backward-in-time) waves. It was first proposed in 1986 by John G. Cramer, who argues that it helps in developing intuition for quantum processes, avoids the philosophical problems with the Copenhagen interpretation and the role of the observer, and resolves various quantum paradoxes.^[1][2] More recently he has also argued TIQM to be consistent with the Afshar experiment, while claiming that the Copenhagen interpretation and the many-worlds interpretation are not.^[3]

The existence of both advanced and retarded waves as admissible solutions to Maxwell's equations was explored in the Wheeler–Feynman absorber theory. Cramer revived their idea of two waves for his transactional interpretation of quantum theory. While the ordinary Schrödinger equation does not admit advanced solutions, its relativistic version does, and these advanced solutions are the ones used by TIQM.

In TIQM, the source emits a usual (retarded) wave forward in time, but it also emits an advanced wave backward in time; furthermore, the receiver also emits an advanced wave backward in time and a retarded wave forward in time. The phases of these waves are such that the retarded wave emitted by the receiver cancels the retarded wave emitted by the sender, with the result that there is no net wave after the absorption point. The advanced wave emitted by the receiver also cancels the advanced wave emitted by the sender, so that there is no net wave before the emitting point either. In this interpretation, the collapse of the wavefunction does not happen at any specific point in time, but is "atemporal" and occurs along the whole transaction, and the emission/absorption process is time-symmetric. The waves are seen as physically real, rather than a mere mathematical device to record the observer's knowledge as in some other interpretations of quantum mechanics.

Cramer uses TIQM in teaching quantum mechanics at the University of Washington in Seattle.

[edit] See also

• Wheeler–Feynman absorber theory

[edit] References

1. ^ The Transactional Interpretation of Quantum Mechanics by John Cramer. Reviews of Modern Physics 58, 647-688, July (1986)
2. ^ An Overview of the Transactional Interpretation by John Cramer. International Journal of Theoretical Physics 27, 227 (1988)
3. ^ A Farewell to Copenhagen?, by John Cramer. Analog, December 2005.

[edit] Further reading

• Tim Maudlin, Quantum Non-Locality and Relativity, Blackwell Publishers 2002, ISBN 0-631-23220-6 (discusses a gedanken experiment designed to refute the TIQM)
• John Gribbin, Schrödinger's Kittens and the Search for Reality : solving the quantum mysteries has an overview of Cramer’s interpretation and says that “with any luck at all it will supersede the Copenhagen interpretation as the standard way of thinking about quantum physics for the next generation of scientists.”

[edit] External links

• Pavel V. Kurakin, George G. Malinetskii, How bees can possibly explain quantum paradoxes, Automates Intelligents (February 2, 2005). (This paper tells about a work attempting to develop TIQM further)
• Cramer's Transactional Interpretation and Causal Loop Problems (quant-ph/0408109) by Ruth E Kastner, an attempt to refute Maudlin's refutation
• Kastner has also applied TIQM to other quantum mechanical issues in [1] "The Transactional Interpretation, Counterfactuals, and Weak Values in Quantum Theory" and [2] "The Quantum Liar Experiment in the Transactional Interpretation"