The many-worlds interpretation (or MWI) is an interpretation of quantum mechanics that averts the special role played by the measurement process in the Copenhagen interpretation by proposing several key ideas. The first of these is the existence of a state function for the entire universe which obeys Schrödinger's equation for all time and for which there is no wavefunction collapse due to measurement. The second idea is that the universal state is a quantum superposition of an infinite number of states of identical non-communicating "parallel universes". The ideas of MWI originated in Hugh Everett's Princeton Ph. D. thesis, but the phrase "many worlds" is due to Bryce DeWitt, who wrote more on the topic of Everett's original work. DeWitt's formulation has become so popular that many confuse it with Everett's original work. An interpretation of quantum mechanics is an attempt to answer the question: what exactly is quantum mechanics talking about? Quantum mechanics, as a scientific theory, has been very successful in predicting experimental results. ... Fig. ... The Copenhagen interpretation is an interpretation of quantum mechanics formulated by Niels Bohr and Werner Heisenberg while collaborating in Copenhagen around 1927. ... In thermodynamics, a state function, or thermodynamic potential, is any property of a system that depends only on the current state of the system, not on the way in which the system got to that state. ... In physics, the Schrödinger equation, proposed by the Austrian physicist Erwin Schrödinger in 1925, describes the time-dependence of quantum mechanical systems. ... In certain interpretations of quantum mechanics, wavefunction collapse is one of two processes by which quantum systems apparently evolve according to the laws of quantum mechanics. ... Quantum superposition is the application of superposition principle to quantum mechanics. ... Hugh Everett III (1930 – 1982) was an American physicist who first proposed the many-worlds interpretation of quantum physics, which he called his relative state formulation. ... Doctor of Philosophy (Ph. ... Dr. Bryce S. DeWitt (January 8, 1923—September 23, 2004) was a theoretical physicist best known for his role in formulating the fundamental Wheeler_deWitt equation. ...

Many worlds and the problem of interpretation

As with the other interpretations of quantum mechanics, the many-worlds interpretation is motivated by behavior that can be illustrated by the double-slit experiment. When particles of light (or anything else) are passed through the double slit, a calculation assuming wave-like behavior of light is needed to identify where the particles are likely to be observed. Yet when the particles are observed, they appear as particles and not as non-localized waves. The Copenhagen interpretation of quantum mechanics proposed a process of "collapse" from wave behavior to particle-like behavior to explain this phenomenon of observation. The double-slit experiment consists of letting light diffract through two slits producing fringes on a screen. ... The photon can be perceived as a wave or a particle, depending on how it is measured In physics, the photon (from Greek φοτος, meaning light) is a quantum of the electromagnetic field, for instance light. ... The Copenhagen interpretation is an interpretation of quantum mechanics formulated by Niels Bohr and Werner Heisenberg while collaborating in Copenhagen around 1927. ... In certain interpretations of quantum mechanics, wavefunction collapse is one of two processes by which quantum systems apparently evolve according to the laws of quantum mechanics. ...

By the time John von Neumann wrote his famous treatise Mathematische Grundlagen der Quantenmechanik in 1932, the phenomenon of "wavefunction collapse" was accommodated into the mathematical formulation of quantum mechanics by postulating that there were two processes of wavefunction change: John von Neumann in the 1940s. ... 1932 is a leap year starting on a Friday. ... One of the remarkable characteristics of the mathematical formulation of quantum mechanics, which distinguishes it from mathematical formulations of theories developed prior to the early 1900s, is its use of abstract mathematical structures, such as Hilbert spaces and operators on these spaces. ...

1. The discontinuous probabilistic change brought about by observation and measurement.
2. The deterministic time evolution of an isolated system that obeys Schrödinger's equation.

The phenomenon of wavefunction collapse for (1) proposed by the Copenhagen interpretation was widely regarded as artificial and ad-hoc, and consequently an alternative interpretation in which the behavior of measurement could be understood from more fundamental physical principles was considered desirable. The word probability derives from the Latin probare (to prove, or to test). ... In classical physics and engineering, measurement is the the result of comparing physical quantities of objects, relations (e. ... The term deterministic may refer to: the more general notion of determinism from philosophy, see determinism a type of algorithm as discussed in computer science, see deterministic algorithm scientific determinism as used by Karl Popper and Stephen Hawking deterministic system in mathematics deterministic system in philosophy deterministic finite state machine... For a system with internal state, (also called stateful system) time evolution means the change of state brought about by the passage of time. ... In physics, the Schrödinger equation, proposed by the Austrian physicist Erwin Schrödinger in 1925, describes the time-dependence of quantum mechanical systems. ...

Everett's Ph. D. work was intended to provide such an alternative interpretation. Everett proposed that for a composite system (for example that formed by a particle interacting with a measuring apparatus) the statement that a subsystem has a well-defined state is meaningless. This led Everett to suggest the notion of relativity of states of one subsystem relative to another.

Everett's formalism for understanding the process of wavefunction collapse as a result of observation is mathematically equivalent to a quantum superposition of wavefunctions. Everett left physics research shortly after obtaining his degree so much of the elaboration of his ideas was carried out by other researchers.

Brief overview

In Everett's formulation, a measuring apparatus M and an object system S form a composite system, each of which prior to measurement exists in well-defined (but time-dependent) states. Measurement is regarded as causing M and S to interact. After S interacts with M, it is no longer possible to describe either system by an independent state. According to Everett, the only meaningful descriptions of each system are relative states: for example the relative state of S given the state of M or the relative state of M given the state of S.

Schematic representation of pair of "smallest possible" quantum mechanical systems prior to interaction : Measured system S and measurement apparatus M. Systems such as S are referred to as 1-qubit systems.

In DeWitt's formulation, the state of S after measurement is given by a quantum superposition of alternative histories of S. For example, consider the smallest possible truly quantum system S, as shown in the illustration. This describes for instance, the spin-state of an electron. Considering a specific axis (say the z-axis) the north pole represents spin "up" and the south pole, spin "down". The superposition states of the system are described by (the surface of) a sphere called the Bloch sphere. To perform a measurement on S, it is made to interact with another similar system M. After the interaction, the combined system is described by a state that ranges over a six-dimensional space (the reason for the number six is explained in the article on the Bloch sphere). This six-dimensional object can also be regarded as a quantum superposition of two "alternative histories" of the original system S, one in which "up" was observed and the other in which "down" was observed. Each subsequent binary measurement (that is interaction with a system M) causes a similar split. Thus after three measurements, the system can be regarded as being a quantum superposition of 8= 2 × 2 × 2 copies of the original system S. pair of bloch spheres File links The following pages link to this file: Many-worlds interpretation of quantum mechanics Categories: GFDL images ... pair of bloch spheres File links The following pages link to this file: Many-worlds interpretation of quantum mechanics Categories: GFDL images ... A quantum bit, or qubit is a unit of quantum information. ... Bloch sphere In quantum mechanics, the Bloch sphere is a geometrical representation of the pure state space of a 2-level quantum mechanical system. ...

Schematic illustration of splitting as a result of a repeated measurement.

Download high resolution version (907x597, 10 KB)Removed stray character in previous image File links The following pages link to this file: Many-worlds interpretation of quantum mechanics Categories: GFDL images ... Download high resolution version (907x597, 10 KB)Removed stray character in previous image File links The following pages link to this file: Many-worlds interpretation of quantum mechanics Categories: GFDL images ...

Relative state

The goal of the relative-state formalism, as originally proposed by Everett in his 1957 doctoral dissertation, was to interpret the effect of external observation entirely within the mathematical framework developed by Dirac, von Neumann and others, discarding altogether the ad-hoc mechanism of wave function collapse. Since Everett's original work, there have appeared a number of similar formalisms in the literature. One such idea is discussed in the next section. 1957 was a common year starting on Tuesday of the Gregorian calendar. ... Dirac is a prototype algorithm for the encoding and decoding (see codec) of raw video and sound. ... A separate article covers Saint John Neumann, the American priest. ...

From the relative-state formalism, we can obtain a relative-state interpretation by two assumptions. The first is that the wavefunction is not simply a description of the object's state, but that it actually is entirely equivalent to the object, a claim it has in common with other interpretations. The second is that observation has no special role, unlike in the Copenhagen interpretation which considers the wavefunction collapse as a special kind of event which occurs as a result of observation. The Copenhagen interpretation is an interpretation of quantum mechanics formulated by Niels Bohr and Werner Heisenberg while collaborating in Copenhagen around 1927. ...

The many-worlds interpretation is DeWitt's rendering of the relative state formalism (and interpretation). Everett referred to the system (such as an observer) as being split by an observation, each split corresponding to a possible outcome of an observation. These splits generate a possible tree as shown in the graphic below. Subsequently DeWitt introduced the term "world" to describe a complete measurement history of an observer, which corresponds roughly to a path starting at the root of that tree. Note that "splitting" in this sense, is hardly new or even quantum mechanical. The idea of a space of complete alternative histories had already been used in the theory of probability since the mid 1930s for instance to model Brownian motion. The novelty in DeWitt's viewpoint was that the various complete alternative histories could be superposed to form new quantum mechanical states. An example of 1000 simulated steps of Brownian motion in two dimensions. ...

Partial trace as relative state. Light blue rectangle on upper left denotes system in pure state. Trellis shaded rectangle in upper right denotes a (possibly) mixed state. Mixed state from observation is partial trace of a linear superposition of states as shown in lower left-hand corner.

Under the many-worlds interpretation, the Schrödinger equation holds all the time everywhere. An observation or measurement of an object by an observer is modelled by applying the Schrödinger wave equation to the entire system comprising the observer and the object. One consequence is that every observation can be thought of as causing the universal wavefunction to split into a quantum superposition of two or more non-interacting branches, or "worlds". Since many observation-like events are constantly happening, there are an enormous number of simultaneously existing states. Branching This image needs to be cleaned up to conform to a higher standard of quality. ... Branching This image needs to be cleaned up to conform to a higher standard of quality. ... In physics, the Schrödinger equation, proposed by the Austrian physicist Erwin Schrödinger in 1925, describes the time-dependence of quantum mechanical systems. ...

If a system is composed of two or more subsystems, the system's state will typically be a superposition of products of the subsystems' states. Once the subsystems interact, their states are no longer independent. Each product of subsystem states in

Successive measurements with successive splittings

the overall superposition evolves over time independently of other products. The subsystems have become entangled and it is no longer possible to consider them independent of one another. Everett's term for this entanglement of subsystem states was a relative state, since each subsystem must now be considered relative to the other subsystems with which it has interacted. Download high resolution version (736x605, 7 KB)2-step Branching This image needs to be cleaned up to conform to a higher standard of quality. ... Download high resolution version (736x605, 7 KB)2-step Branching This image needs to be cleaned up to conform to a higher standard of quality. ... Quantum entanglement is a quantum mechanical phenomenon in which the quantum states of two or more objects have to be described with reference to each other, even though the individual objects may be spatially separated. ...

Comparative properties and experimental support

One of the salient properties of the many-worlds interpretation is that observation does not require an exceptional construct (such as wave function collapse) to explain it. Many physicists, however, dislike the implication that there are an infinite number of non-observable alternate universes.

As of 2002, there were no practical experiments that would distinguish between many-worlds and Copenhagen, and in the absence of observational data, the choice is one of personal taste. However, one area of research is devising experiments which could distinguish between various interpretations of quantum mechanics, although there is some skepticism whether it is even meaningful to ask such a question. Indeed, it can be argued that there is a mathematical equivalence between Copenhagen (as expressed for instance in a set of algorithms for manipulating density states) and many-worlds (which gives the same answers as Copenhagen using a more elaborate mathematical picture) which would seem to make such an endeavor impossible. However, this algorithmic equivalence may not be true on a cosmological scale. It has been proposed that in a world with infinite alternate universes, the universes which collapse would exist for a shorter time than universes which expand, and that would cause detectable probability differences between many-worlds and the Copenhagen interpretation. 2002 is a common year starting on Tuesday of the Gregorian calendar. ...

In the Copenhagen interpretation, the mathematics of quantum mechanics allows one to predict probabilities for the occurrence of various events. In the many-worlds interpretation, all these events occur simultaneously. What meaning should be given to these probability calculations? And why do we observe, in our history, that the events with a higher computed probability seem to have occurred more often? One answer to these questions is to say that there is a probability measure on the space of all possible universes, where a possible universe is a complete path in the tree of branching universes. This is indeed what the calculations give. Then we should expect to find ourselves in a universe with a relatively high probability rather than a relatively low probability: even though all outcomes of an experiment occur, they do not occur in an equal way. The word probability derives from the Latin probare (to prove, or to test). ... In mathematics, a probability space is a set S, together with a σ-algebra X on S and a measure P on that σ-algebra such that P(S) = 1. ...

The many-worlds interpretation should not be confused with the many-minds interpretation which postulates that it is only the observers' minds that split instead of the whole world. The many-minds interpretation is one of the interpretations of quantum physics, a modification to the many-worlds interpretation, itself derived from the Everetts relative-state formulation. ...

A simple example

We consider formally the example presented in the introduction. Consider a pair of spin 1/2 particles, A and B, in which we only consider the spin observable (in particular with their position information disregarded). As an isolated system, particle A is described by a 2 dimensional Hilbert space H_A; similarly particle B is described by a 2 dimensional Hilbert space H_B. The composite system is described by the tensor product The terms spin and SPIN have several meanings, including those primarily discussed as spinning: For spin in sub-atomic physics, see spin (physics) For the periodical, see Spin Magazine Computer: For unproductive repetition in a computer program, see spin (software) For finding bugs in multi-threaded code, see SPIN model... Particle physics is a branch of physics that studies the elementary constituents of matter and radiation, and the interactions between them. ... In mathematics, a Hilbert space is an inner product space that is complete with respect to the norm defined by the inner product. ... In mathematics, a Hilbert space is an inner product space that is complete with respect to the norm defined by the inner product. ...

which is 2 x 2 dimensional. If A and B are non-interacting, the set of pure tensors

is invariant under time evolution; in fact, since we only consider the spin observables which for isolated particles are invariant, time has no effect prior to interaction. However, after interaction, the state of the composite system is a possibly entangled state, that is one which is no longer a pure tensor. Invariant may have meanings invariant (computer science), such as a combination of variables not altered in a loop invariant (mathematics), something unaltered by a transformation invariant (music) invariant (physics) conserved by system symmetry This is a disambiguation page — a navigational aid which lists other pages that might otherwise share the... Quantum entanglement is a quantum mechanical phenomenon in which the quantum states of two or more objects have to be described with reference to each other, even though the individual objects may be spatially separated. ...

The most general entangled state is a sum

To this state corresponds a linear operator H_B → H_A which maps pure states to pure states.

This mapping (essentially modulo normalization of states) is the relative state mapping defined by Everett, which associates a pure state of B the corresponding relative (pure) state of A. More precisely, there is a unique polar decomposition of T_Φ such that In mathematics, particularly in linear algebra and functional analysis, the polar decomposition is a canonical factorization of any linear mapping T between complex Hilbert spaces as the product of a partial isometry and a non-negative self-adjoint operator. ...

and U is an isometric map defined on some subspace of H_B. U is actually the relative state mapping. See also Schmidt decomposition.

Note that the density matrix of the composite system is pure. However, it is also possible to consider the reduced density matrix describing particle A alone by taking the partial trace over the states of particle B. This reduced density matrix, unlike the original matrix actually describes a mixed state. This particular example is the basis for the EPR paradox. The term pure state refers to several related concepts in physics, particularly quantum mechanics and in functional analysis. ... In linear algebra and functional analysis, the partial trace is a generalization of the trace. ... A density matrix, or density operator, is used in quantum theory to describe the statistical state of a quantum system. ... In quantum mechanics, the EPR paradox is a thought experiment which demonstrates that the result of a measurement performed on one part of a quantum system can have an instantaneous effect on the result of a measurement performed on another part, regardless of the distance separating the two parts. ...

The previous example easily generalizes to arbitrary systems A, B without any restriction on the dimension of the corresponding Hilbert spaces. In general, the relative state is an isometric linear mapping defined on a subspace of H_B with values in H_A.

Partial trace and relative state

The state transformation of a quantum system resulting from measurement, such as the double slit experiment discussed above, can be easily described mathematically in a way that is consistent with most mathematical formalisms. We will present one such description, also called reduced state, based on the partial trace concept, which by a process of iteration, leads to a kind of branching many worlds formalism. It is then a short step from this many worlds formalism to a many worlds interpretation. One of the remarkable characteristics of the mathematical formulation of quantum mechanics, which distinguishes it from mathematical formulations of theories developed prior to the early 1900s, is its use of abstract mathematical structures, such as Hilbert spaces and operators on these spaces. ... In linear algebra and functional analysis, the partial trace is a generalization of the trace. ...

For definiteness, let us assume that system is actually a particle such as an electron. The discussion of reduced state and many worlds is no different in this case than if we considered any other physical system, including an "observer system". In what follows, we need to consider not only pure states for the system, but more generally mixed states; these are certain linear operators on the Hilbert space H describing the quantum system. Indeed, as the various measurement scenarios point out, the set of pure states is not closed under measurement. Mathematically, density matrices are statistical mixtures of pure states. Operationally a mixed state can be identified to a statistical ensemble resulting from a specific lab preparation process. The term pure state refers to several related concepts in physics, particularly quantum mechanics and in functional analysis. ... A density matrix, or density operator, is used in quantum theory to describe the statistical state of a quantum system. ... In mathematics, a Hilbert space is an inner product space that is complete with respect to the norm defined by the inner product. ... An operational definition of a quantity is a specific process whereby it is measured. ... In physics, a statistical ensemble is a very large set of similar systems, considered all at once. ...

Decohered states as relative states

Suppose we have an ensemble of particles, prepared in such a way that its state S is pure. This means that there is a unit vector ψ in H (unique up to phase) such that S is the operator given in bra-ket notation by Look up Up to in Wiktionary, the free dictionary Modern Slang In modern slang, up to means you are either willing to engage in an act (Sally is up to going to the park), capable of an act (Im sorry, Im just not up to it) or are... Bra-ket notation is the standard notation for describing quantum states in the theory of quantum mechanics. ...

Now consider an experimental setup to determine whether the particle has a particular property: For example the property could be that the location of the particle is in some region A of space. The experimental setup can be regarded either as a measurement of an observable or as a filter. As a measurement, it measures the observable Q which takes the value 1 if the particle is found in A and 0 otherwise. As a filter, it filters in those particles in the ensemble which have the stated property of being in A and filtering out the others.

Mathematically, a property is given by a self-adjoint projection E on the Hilbert space H: Applying the filter to an ensemble of particles, some of the particles of the ensemble are filtered in, and others are filtered out. Now it can be shown that the operation of the filter "collapses" the pure state in the following sense: it prepares a new mixed state given by the density operator

where F = 1 - E.

To see this, note that as a result of the measurement, the state of the particle immediately after the measurement is in an eigenvector of Q, that is one of the two pure states

with respective probabilities

The mathematical way of presenting this mixed state is by taking the following convex combination of pure states: A convex combination is a linear combination of data points (which can be vectors or scalars) where all coefficients are positive and sum up to 1. ...

which is the operator S₁ above.

Remark. The use of the word collapse in this context is somewhat different that its use in explanations of the Copenhagen interpretation. In this discussion we are not referring to collapse or transformation of a wave into something else, but rather the transformation of a pure state into a mixed one.

The considerations so far, are completely standard in most formalisms of quantum mechanics. Now consider a "branched" system whose underlying Hilbert space is

where H₂ is a two-dimensional Hilbert space with basis vectors and . The branched space can be regarded as a composite system consisting of the original system (which is now a subsystem) together with a non-interacting ancillary single qubit system. In the branched system, consider the entangled state A quantum bit, or qubit is a unit of quantum information. ...

We can express this state in density matrix format as . This multiplies out to:

The partial trace of this mixed state is obtained by summing the operator coefficients of and in the above expression. This results in a mixed state on H. In fact, this mixed state is identical to the "post filtering" mixed state S₁ above. In linear algebra and functional analysis, the partial trace is a generalization of the trace. ...

To summarize, we have mathematically described the effect of the filter for a particle in a pure state ψ in the following way:

• The original state is augmented with the ancillary qubit system.

• The pure state of the original system is replaced with a pure entangled state of the augmented system and

• The post-filter state of the system is the partial trace of the entangled state of the augmented system.

Multiple branching

In the course of a system's lifetime we expect many such filtering events to occur. At each such event, a branching occurs. In order for this to be consistent with branching worlds as depicted in the illustration above, we must show that if a filtering event occurs in one path from the root node of the tree, then we may assume it occurs in all branches. This shows that the tree is highly symmetric, that is for each node n of the tree, the shape of the tree does not change by interchanging the subtrees immediately below that node n.

In order to show this branching uniformity property, note that the same calculation carries through even if original state S is mixed. Indeed, the post filtered state will be the density operator:

The state S₁ is the partial trace of

This means that to each subsequent measurement (or branching) along one of the paths from the root of the tree to a leaf node corresponds to a homologous branching along every path. This guarantees the symmetry of the many-worlds tree relative to flipping child nodes of each node.

Superposition over paths through observation tree

Multiple Branching This image needs to be cleaned up to conform to a higher standard of quality. ... Multiple Branching This image needs to be cleaned up to conform to a higher standard of quality. ...

General quantum operations

In the previous two sections, we have represented measurement operations on quantum systems in terms of relative states. In fact there is a wider class of operations which should be considered: these are called quantum operations. Considered as operations on density operators on the system Hilbert space H, these have the following form: In quantum mechanics, a quantum operation is a mathematical formalism used to describe a broad class of transformations that a quantum mechanical system can undergo. ...

where I is a finite or countably infinite index set. The operators F_i are called Kraus operators.

Theorem. Let

Then

Moreover, the mapping V defined by

is such that

If γ is a trace-preserving quantum operation, then V is an isometric linear map

where the Hilbert direct sum is taken over copies of H indexed by elements of I. We can consider such maps Φ as imbeddings. In particular:

Corollary. Any trace-preserving quantum operation is the composition of an isometric imbedding and a partial trace.

This suggests that the many worlds formalism can account for this very general class of transformations in exactly the same way that it does for simple measurements.

Branching

In general we can show the uniform branching property of the tree as follows: If

and

where

and

then an easy calculation shows

This also shows that in between the measurements given by proper (that is, non-unitary) quantum operations, one can interpolate arbitrary unitary evolution.

Acceptance of the many-worlds interpretation

There is a wide range of claims that are considered "many world" interpretations. It is often noted (see the Barrett reference) that Everett himself was not entirely clear as to what he meant. Moreover, popularizers have often used many-worlds to justifiy claims about the relationship between consciousness and the material world. Apart from these new-agey interpretations, "many world"-like interpretations are now considered fairly mainstream. ...

For example, a poll of 72 leading physicists conducted by the American researcher David Raub in 1995 and published in the French periodical Sciences et Avenir in January 1998 recorded that nearly 60% thought many worlds interpretation was "true". Max Tegmark (see reference to his web page below) also reports the result of a poll taken at a 1997 quantum mechanics workshop. According to Tegmark, "The many worlds interpretation (MWI) scored second, comfortably ahead of the consistent histories and Bohm interpretations." Other such highly unscientific polls have been taken at other conferences: see for instance Michael Nielsen's blog [1] report on one such poll. Nielsen remarks that it appeared most of the conference attendees "thought the poll was a waste of time". 1995 was a common year starting on Sunday of the Gregorian calendar. ... 1998 is a common year starting on Thursday of the Gregorian calendar, and was designated the International Year of the Ocean. ... Max Tegmark, born in Sweden, is a cosmologist formerly at the University of Pennsylvania but now at the Massachusetts Institute of Technology as an Associate Professor. ... In quantum mechanics, the consistent histories approach is intended to give a modern interpretation of quantum mechanics, generalising the conventional Copenhagen interpretation and providing a natural interpretation of quantum cosmology. ... Michael Nielsen (born January 4, 1974) is an Australian quantum information theorist and currently Foundation Professor of Quantum Information Science at the University of Queensland. ...

However, the physicist Asher Peres in his 1993 textbook expresses a great deal of skepticism towards MWI which is shared by many physicists. In fact, he questions whether many worlds is really an "interpretation" at all (particularly in a section with the title Everett's interpretation and other bizarre theories). Indeed, the many-worlds interpretation can be regarded as a purely formal transformation, which adds nothing to the instrumentalist (i.e. statistical) rules of the quantum mechanics. Perhaps more significantly, Peres seems to suggest that positing the existence of an infinite number of non-communicating parallel universes is worse than the problem it is supposed to solve. Asher Peres (born 1934 and died January 1, 2005) was an Israeli physicist, considered a pioneer in quantum information theory. ... 1993 is a common year starting on Friday of the Gregorian calendar and marked the Beginning of the International Decade to Combat Racism and Racial Discrimination (1993-2003). ...

As such, because the interpretation results from an equivalence between two mathematical formalisms, and is considered unfalsifiable (because the multiple parallel universes are non-communicating), critics consider the many-worlds interpretation metaphysical rather than a testable scientific theory. Moreover, notwithstanding the personal opinions or speculation of individual physicists (or indeed even a statistical majority of physicists), subjective polls of "acceptance" such as the above cannot be interpreted as evidence of the correctness or incorrectness of a particular theory; as such, for example, the mere fact that any particular person or percentage of people "accept" the many-worlds interpretation should not be considered evidence of its accuracy. Metaphysics (Greek words meta = after/beyond and physics = nature) is a branch of philosophy concerned with the study of first principles and being (ontology). ...

Many worlds in literature and science fiction

Main article: Many-worlds and possible worlds in literature and art The concept of possible worlds dates back to a least Leibniz who in his Théodicée tries to justify the apparent imperfections of the world by claiming that it is optimal among all possible worlds. ...

The many-worlds interpretation (and the unrelated concept of possible worlds) have been associated to numerous themes in literature, art and science fiction. In philosophy and logic, the concept of possible worlds is used to express modal claims, claims that involve notions of possibility or necessity. ... Open Directory Project: Literature World Literature Electronic Text Archives Magazines and E-zines Online Writing Writers Resources Libraries, Digital Cataloguing, Metadata Distance Learning Dictionary of the History of Ideas: Classicism in Literature The Universal Library, by Carnegie Mellon University Project Gutenberg Online Library Abacci - Project Gutenberg texts matched with Amazon... Great Museums in the World (Louvre, Metropolitan Museum, MoMA, Picasso …) Weird photography CGFA: A Virtual Art Museum Very large website with good reproduction quality scans of thousands of paintings Art-Atlas. ... Science fiction is a form of speculative fiction principally dealing with the impact of imagined science and technology, or both, upon society and persons as individuals. ...

Aside from violating fundamental principles of causality and relativity, these stories are extremely misleading since the information-theoretic structure of the path space of multiple universes (that is information flow between different paths) is very likely extraordinarily complex. Also see Michael Price's FAQ referenced in the external links section below where these issues (and other similar ones) are dealt with more decisively. Information theory is a branch of the mathematical theory of probability and mathematical statistics that quantifies the concept of information. ... FAQ (Frequently Asked Questions) are a series of questions and answers all pertaining to a certain topic. ...

Another kind of popular illustration of many worlds splittings, which does not involve information flow between paths, or information flow backwards in time considers alternate outcomes of historical events. From the point of view of quantum mechanics, these stories however are deficient for at least two reasons:

• There is nothing inherently quantum mechanical about branching descriptions of historical events. In fact, this kind of case-based analysis is a common planning technique and it can be analysed quantitatively by classical probability.
• The use of historical events complicates matters by introduction of an issue which is generally believed to be completely extraneous to quantum theory, namely the question of the nature of individual choice.

Speculative implications of many worlds

It has been controversially claimed that an interesting but dangerous experiment which would also clearly distinguish between the Many Worlds interpretation and all other interpretations involves a quantum suicide machine and a physicist who cares enough about the issue to risk his own life. At best, this would only decide the issue for the brave physicist; bystanders would learn nothing. Quantum suicide is a thought experiment which has been independently proposed in 1987 by Hans Moravec, in 1988 by Bruno Marchal and in 1998 by Max Tegmark that attempts to distinguish between the Copenhagen interpretation of quantum mechanics and the Everett many-worlds interpretation by means of a variation of...

The many-worlds interpretation has some similarity to modal realism in philosophy, which is the view that the possible worlds used to interpret modal claims actually exist. Modal realism is the view, notably propounded by David Lewis, that possible worlds are as real as the actual world. ... The term philosophy derives from a combination of the Greek words philos meaning love and sophia meaning wisdom. ... In philosophy and logic, the concept of possible worlds is used to express modal claims. ...

See also

• multiverse
• quantum decoherence
• multiple histories
• many-minds interpretation

The following provide more speculative interpretations: The idea that the universe that we can observe is only part of the whole physical reality led to the definition of multiverse, the set of multiple possible universes. ... Quantum decoherence is the general term for the consequences of irreversible quantum entanglement. ... The concept of multiple histories is closely related to the many-worlds interpretation of quantum mechanics. ... The many-minds interpretation is one of the interpretations of quantum physics, a modification to the many-worlds interpretation, itself derived from the Everetts relative-state formulation. ...

• quantum immortality
• holomovement

Quantum immortality is the name for the speculation that the Everett many-worlds interpretation of quantum mechanics implies that a conscious being cannot cease to be. ... Holomovement is a metaphysical concept invented by David Bohm describing his visual description of the fabric of reality, implying undivided wholeness in flowing movement [1]. The holomovement is the underlying flow (of possibly not yet defined qualities related to thought, matter and energy) in which reality (or the possible realities...

External links

• Against Many-Worlds Interpretations
• Everett's Relative-State Formulation of Quantum Mechanics
• Michael Price's Everett FAQ
• Max Tegmark's web page
• Many Worlds & Parallel Universes
• Many Worlds is a "lost cause" according to R. F. Streater

References

• Jeffrey A. Barrett, The Quantum Mechanics of Minds and Worlds, Oxford University Press, 1999.
• Hugh Everett, Relative State Formulation of Quantum Mechanics, Reviews of Modern Physics vol 29, (1957) pp 454-462.
• Christopher Fuchs, Quantum Mechanics as Quantum Information (and only a little more), arXiv:quant-ph/0205039 v1, (2002)
• Bryce S. DeWitt, R. Neill Graham, eds, The Many-Worlds Interpretation of Quantum Mechanics, Princeton Series in Physics, Princeton University Press (1973)
• Asher Peres, Quantum Theory: Concepts and Methods, Kluwer, Dordrecht, 1993.
• John Archibald Wheeler, Assessment of Everett's "Relative State Formulation of Quantum Theory", Reviews of Modern Physics, vol 29, (1957) pp 463-465
• David Deutsch, The Fabric of Reality: The Science of Parallel Universes And Its Implications, Penguin Books (August 1, 1998), ISBN 014027541X.