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Transactional interpretation



 
 
The transactional interpretation of quantum mechanics
Interpretation of quantum mechanics

An interpretation of quantum mechanics is a statement which attempts to explain how quantum mechanics informs our understanding of nature. Although quantum mechanics has received thorough experimental testing, many of these experiments are open to different interpretations....
 (TIQM) describes quantum interactions in terms of a standing wave
Standing wave

A standing wave, also known as a stationary wave, is a wave that remains in a constant position. This phenomenon can occur because the medium is moving in the opposite direction to the wave, or it can arise in a stationary medium as a result of interference between two waves traveling in opposite directions....
 formed by retarded (forward-in-time) and advanced (backward-in-time) waves. It was first proposed in 1986 by John G. Cramer
John G. Cramer

John G. Cramer is a Professor of Physics at the University of Washington in Seattle, Washington, United States.When not teaching, he works with the STAR detector at the new Relativistic Heavy Ion Collider at Brookhaven National Laboratory, and the particle accelerator at CERN in Geneva, Switzerland....
, who argues that it helps in developing intuition for quantum processes, avoids the philosophical problems with the Copenhagen interpretation
Copenhagen interpretation

The Copenhagen interpretation is an Interpretations of quantum mechanics of quantum mechanics. A key feature of quantum mechanics is that the state of every Elementary particle is described by a wavefunction, which is a mathematical representation used to calculate the probability for it to be found in a location, or state of motion....
 and the role of the observer, and resolves various quantum paradoxes. More recently he has also argued TIQM to be consistent with the Afshar experiment
Afshar experiment

The Afshar experiment is an optics experiment which may challenge the principle of complementarity in quantum mechanics, although there is as yet no consensus on this in physics....
, while the Copenhagen interpretation
Copenhagen interpretation

The Copenhagen interpretation is an Interpretations of quantum mechanics of quantum mechanics. A key feature of quantum mechanics is that the state of every Elementary particle is described by a wavefunction, which is a mathematical representation used to calculate the probability for it to be found in a location, or state of motion....
 and the many-worlds interpretation
Many-worlds interpretation

The many-worlds interpretation is an interpretation of quantum mechanics.It is also known as MWI, the relative state formulation, theory of the universal wavefunction, parallel universes, many-universes interpretation or just many worlds....
 are not.

The existence of both advanced and retarded waves as admissible solutions to Maxwell's equations
Maxwell's equations

In electromagnetism, James Clerk Maxwell equations are a set of four partial differential equations that describe the properties of the electric field and magnetic field fields and relate them to their sources, charge density and current density....
 was proposed
Feynman-Wheeler theory

The Wheeler?Feynman absorber theory is an interpretation of electrodynamics that starts from the idea that a solution to the electromagnetic field equations has to be symmetric with respect to time-inversion, as are the field equations themselves....
 by Richard Feynman
Richard Feynman

Richard Phillips Feynman was an United States physicist known for the path integral formulation of quantum mechanics, the theory of quantum electrodynamics and the physics of the superfluidity of supercooled liquid helium, as well as work in particle physics ....
 and John Archibald Wheeler
John Archibald Wheeler

John Archibald Wheeler was an eminent United States theoretical physicist. One of the later collaborators of Albert Einstein, he tried to achieve Einstein's vision of a unified field theory....
 in 1945 (cited in original paper by J.






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The transactional interpretation of quantum mechanics
Interpretation of quantum mechanics

An interpretation of quantum mechanics is a statement which attempts to explain how quantum mechanics informs our understanding of nature. Although quantum mechanics has received thorough experimental testing, many of these experiments are open to different interpretations....
 (TIQM) describes quantum interactions in terms of a standing wave
Standing wave

A standing wave, also known as a stationary wave, is a wave that remains in a constant position. This phenomenon can occur because the medium is moving in the opposite direction to the wave, or it can arise in a stationary medium as a result of interference between two waves traveling in opposite directions....
 formed by retarded (forward-in-time) and advanced (backward-in-time) waves. It was first proposed in 1986 by John G. Cramer
John G. Cramer

John G. Cramer is a Professor of Physics at the University of Washington in Seattle, Washington, United States.When not teaching, he works with the STAR detector at the new Relativistic Heavy Ion Collider at Brookhaven National Laboratory, and the particle accelerator at CERN in Geneva, Switzerland....
, who argues that it helps in developing intuition for quantum processes, avoids the philosophical problems with the Copenhagen interpretation
Copenhagen interpretation

The Copenhagen interpretation is an Interpretations of quantum mechanics of quantum mechanics. A key feature of quantum mechanics is that the state of every Elementary particle is described by a wavefunction, which is a mathematical representation used to calculate the probability for it to be found in a location, or state of motion....
 and the role of the observer, and resolves various quantum paradoxes. More recently he has also argued TIQM to be consistent with the Afshar experiment
Afshar experiment

The Afshar experiment is an optics experiment which may challenge the principle of complementarity in quantum mechanics, although there is as yet no consensus on this in physics....
, while the Copenhagen interpretation
Copenhagen interpretation

The Copenhagen interpretation is an Interpretations of quantum mechanics of quantum mechanics. A key feature of quantum mechanics is that the state of every Elementary particle is described by a wavefunction, which is a mathematical representation used to calculate the probability for it to be found in a location, or state of motion....
 and the many-worlds interpretation
Many-worlds interpretation

The many-worlds interpretation is an interpretation of quantum mechanics.It is also known as MWI, the relative state formulation, theory of the universal wavefunction, parallel universes, many-universes interpretation or just many worlds....
 are not.

The existence of both advanced and retarded waves as admissible solutions to Maxwell's equations
Maxwell's equations

In electromagnetism, James Clerk Maxwell equations are a set of four partial differential equations that describe the properties of the electric field and magnetic field fields and relate them to their sources, charge density and current density....
 was proposed
Feynman-Wheeler theory

The Wheeler?Feynman absorber theory is an interpretation of electrodynamics that starts from the idea that a solution to the electromagnetic field equations has to be symmetric with respect to time-inversion, as are the field equations themselves....
 by Richard Feynman
Richard Feynman

Richard Phillips Feynman was an United States physicist known for the path integral formulation of quantum mechanics, the theory of quantum electrodynamics and the physics of the superfluidity of supercooled liquid helium, as well as work in particle physics ....
 and John Archibald Wheeler
John Archibald Wheeler

John Archibald Wheeler was an eminent United States theoretical physicist. One of the later collaborators of Albert Einstein, he tried to achieve Einstein's vision of a unified field theory....
 in 1945 (cited in original paper by J. Cramer). They used the idea to solve the problem of the self-energy
Self-energy

In theoretical physics and quantum field theory a particle's self-energy represents the contribution to the particle's energy, or effective mass, due to interactions between the particle and the system it is part of....
 of an electron
Electron

The electron is a subatomic particle that carries a negative electric charge. It has elementary particle and is believed to be a point particle....
. Cramer revived their idea of two waves for his transactional interpretation of quantum theory. While the ordinary Schrödinger equation
Schrödinger equation

In physics, especially quantum mechanics, the Schr?dinger equation is an equation that describes how the quantum state of a physical system changes in time....
 does not admit advanced solutions, its relativistic
Special relativity

Special relativity is the physical theory of measurement in inertial frames of reference proposed in 1905 by Albert Einstein in the paper "Annus Mirabilis Papers#Special relativity"....
 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
Phase (waves)

The phase of an oscillation or wave is the fraction of a complete cycle corresponding to an offset in the displacement from a specified reference point at time t = 0....
 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/absroption 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
University of Washington

University of Washington, founded in 1861, is a public research university in Seattle, Washington, Washington, United States. Also known as Washington and locally as UW or the U, it is the largest university in the northwestern United States and the oldest public university on the west coast....
 in Seattle
Seattle, Washington

Seattle is the most populous city in the US state of Washington and the Northwestern United States. The encompassing Seattle metropolitan area is the 15th largest in the United States, and the largest in the Pacific Northwest....
.

See also

  • Wheeler–Feynman absorber theory


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)


External links

  • Pavel V. Kurakin, George G. Malinetskii, , Automates Intelligents (February 2 2005). (This paper tells about a work attempting to develop TIQM further)
  • (quant-ph/0408109) by Ruth E Kastneran, an attempt to refute Maudlin's refutation