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Von Neumann–Wigner interpretation - Wikipedia

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vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#The_interpretation"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>The interpretation</span> </div> </a> <ul id="toc-The_interpretation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Objections_to_the_interpretation" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Objections_to_the_interpretation"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Objections to the interpretation</span> </div> </a> <ul id="toc-Objections_to_the_interpretation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Testability" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Testability"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Testability</span> </div> </a> <ul id="toc-Testability-sublist" 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</ul> </li> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> 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href="/wiki/Interpretations_of_quantum_mechanics" title="Interpretations of quantum mechanics">interpretation of quantum mechanics</a> in which <a href="/wiki/Consciousness" title="Consciousness">consciousness</a> is postulated to be necessary for the completion of the process of <a href="/wiki/Measurement_in_quantum_mechanics" title="Measurement in quantum mechanics">quantum measurement</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Background:_observation_in_quantum_mechanics">Background: observation in quantum mechanics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Von_Neumann%E2%80%93Wigner_interpretation&amp;action=edit&amp;section=1" title="Edit section: Background: observation in quantum mechanics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1251242444">.mw-parser-output .ambox{border:1px solid 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.mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-Unreferenced_section plainlinks metadata ambox ambox-content ambox-Unreferenced" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><a href="/wiki/File:Question_book-new.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/50px-Question_book-new.svg.png" decoding="async" width="50" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/75px-Question_book-new.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/100px-Question_book-new.svg.png 2x" data-file-width="512" data-file-height="399" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">This section <b>does not <a href="/wiki/Wikipedia:Citing_sources" title="Wikipedia:Citing sources">cite</a> any <a href="/wiki/Wikipedia:Verifiability" title="Wikipedia:Verifiability">sources</a></b>.<span class="hide-when-compact"> Please help <a href="/wiki/Special:EditPage/Von_Neumann%E2%80%93Wigner_interpretation" title="Special:EditPage/Von Neumann–Wigner interpretation">improve this section</a> by <a href="/wiki/Help:Referencing_for_beginners" title="Help:Referencing for beginners">adding citations to reliable sources</a>. Unsourced material may be challenged and <a href="/wiki/Wikipedia:Verifiability#Burden_of_evidence" title="Wikipedia:Verifiability">removed</a>.</span> <span class="date-container"><i>(<span class="date">June 2020</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <p>In the orthodox <a href="/wiki/Copenhagen_interpretation" title="Copenhagen interpretation">Copenhagen interpretation</a>, <a href="/wiki/Quantum_mechanics" title="Quantum mechanics">quantum mechanics</a> predicts only the probabilities for different observed experimental outcomes. What constitutes an <i><a href="/wiki/Observer_(quantum_physics)" title="Observer (quantum physics)">observer</a></i> or an <i><a href="/wiki/Measurement_in_quantum_mechanics" title="Measurement in quantum mechanics">observation</a></i> is not directly specified by the theory, and the behavior of a system under measurement and observation is completely different from its usual behavior: the <a href="/wiki/Wavefunction" class="mw-redirect" title="Wavefunction">wavefunction</a> that describes a system spreads out into an ever-larger <a href="/wiki/Quantum_superposition" title="Quantum superposition">superposition</a> of different possible situations. However, during observation, the wavefunction describing the system collapses to one of several options. If there is no observation, this collapse does not occur, and none of the options ever become less likely.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> </p><p>It can be predicted using quantum mechanics, absent a <a href="/wiki/Wave_function_collapse" title="Wave function collapse">collapse postulate</a>, that an observer observing a quantum superposition will turn into a superposition of different observers seeing different things. The observer will have a wavefunction which describes all the possible outcomes. Still, in actual experience, an observer never senses a superposition, but always senses that one of the outcomes has occurred with certainty. This apparent conflict between a wavefunction description and classical experience is called the problem of observation (see <a href="/wiki/Measurement_problem" title="Measurement problem">Measurement problem</a>).<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="The_interpretation">The interpretation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Von_Neumann%E2%80%93Wigner_interpretation&amp;action=edit&amp;section=2" title="Edit section: The interpretation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In his 1932 book <i>The Mathematical Foundations of Quantum Mechanics</i>, <a href="/wiki/John_von_Neumann" title="John von Neumann">John von Neumann</a> argued that the mathematics of quantum mechanics allows the <a href="/wiki/Wave_function_collapse" title="Wave function collapse">collapse of the wave function</a> to be placed at any position in the causal chain from the measurement device to the "subjective perception" of the human observer. In 1939, <a href="/wiki/Fritz_London" title="Fritz London">Fritz London</a> and Edmond Bauer argued for the latter boundary (consciousness).<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> In the 1960s, <a href="/wiki/Eugene_Wigner" title="Eugene Wigner">Eugene Wigner</a><sup id="cite_ref-Wigner_4-0" class="reference"><a href="#cite_note-Wigner-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> reformulated the "<a href="/wiki/Schr%C3%B6dinger%27s_cat" title="Schrödinger&#39;s cat">Schrödinger's cat</a>" <a href="/wiki/Thought_experiment" title="Thought experiment">thought experiment</a> as "<a href="/wiki/Wigner%27s_friend" title="Wigner&#39;s friend">Wigner's friend</a>" and proposed that the consciousness of an observer is the demarcation line that precipitates collapse of the wave function, independent of any realist interpretation. See <a href="/wiki/Wigner%27s_friend#Consciousness_and_Wigner&#39;s_friend" title="Wigner&#39;s friend">Consciousness and measurement</a>. The mind is postulated to be non-physical and the only true measurement apparatus.<sup id="cite_ref-Schreiber_5-0" class="reference"><a href="#cite_note-Schreiber-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> </p><p>This interpretation has been summarized thus:<sup id="cite_ref-Schreiber_5-1" class="reference"><a href="#cite_note-Schreiber-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> </p> <blockquote> <p>The rules of quantum mechanics are correct but there is only one system which may be treated with quantum mechanics, namely the entire material world. There exist external observers which cannot be treated within quantum mechanics, namely human (and perhaps animal) <i>minds</i>, which perform <a href="/wiki/Quantum_measurement" class="mw-redirect" title="Quantum measurement">measurements</a> on the brain causing wave function collapse. </p> </blockquote> <p><a href="/wiki/Henry_Stapp" title="Henry Stapp">Henry Stapp</a> has argued for the concept as follows:<sup id="cite_ref-Stapp2001_6-0" class="reference"><a href="#cite_note-Stapp2001-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> </p> <blockquote> <p>From the point of view of the mathematics of quantum theory it makes no sense to treat a measuring device as intrinsically different from the collection of atomic constituents that make it up. A device is just another part of the physical universe... Moreover, the conscious thoughts of a human observer ought to be causally connected <i>most directly and immediately</i> to what is happening in his brain, not to what is happening out at some measuring device... Our bodies and brains thus become ... parts of the quantum mechanically described physical universe. Treating the entire physical universe in this unified way provides a conceptually simple and logically coherent theoretical foundation... </p> </blockquote> <div class="mw-heading mw-heading2"><h2 id="Objections_to_the_interpretation">Objections to the interpretation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Von_Neumann%E2%80%93Wigner_interpretation&amp;action=edit&amp;section=3" title="Edit section: Objections to the interpretation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Many-worlds_interpretation" title="Many-worlds interpretation">Many-worlds interpretation</a></div> <p>There are other possible solutions to the "Wigner's friend" thought experiment, which do not require consciousness to be different from other physical processes. Moreover, Wigner actually shifted to those interpretations (and away from "consciousness causes collapse") in his later years. This was partly because he was embarrassed that "consciousness causes collapse" can lead to a kind of <a href="/wiki/Solipsism" title="Solipsism">solipsism</a>, but also because he decided that he had been wrong to try to apply quantum physics at the scale of everyday life (specifically, he rejected his initial idea of treating macroscopic objects as isolated systems).<sup id="cite_ref-Esfeld_7-0" class="reference"><a href="#cite_note-Esfeld-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> See <a href="/wiki/Wigner%27s_friend#Consciousness_and_Superposition" title="Wigner&#39;s friend">Wigner's friend §&#160;Consciousness and Superposition</a>. </p><p>This interpretation relies upon an <a href="/wiki/Interactionism_(philosophy_of_mind)" title="Interactionism (philosophy of mind)">interactionist</a> form of <a href="/wiki/Dualism_(philosophy_of_mind)" class="mw-redirect" title="Dualism (philosophy of mind)">dualism</a> that is inconsistent with the <a href="/wiki/Materialism" title="Materialism">materialism</a> that is commonly used to understand the brain, and accepted by most scientists.<sup id="cite_ref-Schreiber_5-2" class="reference"><a href="#cite_note-Schreiber-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> (Materialism assumes that consciousness has no special role in relation to quantum mechanics.)<sup id="cite_ref-Schreiber_5-3" class="reference"><a href="#cite_note-Schreiber-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> The <a href="/wiki/Measurement_problem" title="Measurement problem">measurement problem</a> notwithstanding, they point to a <a href="/wiki/Causal_closure" title="Causal closure">causal closure</a> of physics, suggesting a problem with how consciousness and matter might interact, reminiscent of objections to Descartes' <a href="/wiki/Substance_dualism" class="mw-redirect" title="Substance dualism">substance dualism</a>. </p> <style data-mw-deduplicate="TemplateStyles:r1244412712">.mw-parser-output .templatequote{overflow:hidden;margin:1em 0;padding:0 32px}.mw-parser-output .templatequotecite{line-height:1.5em;text-align:left;margin-top:0}@media(min-width:500px){.mw-parser-output .templatequotecite{padding-left:1.6em}}</style><blockquote class="templatequote"><p>The only form of <a href="/wiki/Interactionist_dualism" class="mw-redirect" title="Interactionist dualism">interactionist dualism</a> that has seemed even remotely tenable in the contemporary picture is one that exploits certain properties of quantum mechanics. There are two ways this might go. First, some &#91;e.g., <a href="/wiki/How_the_Self_Controls_Its_Brain" title="How the Self Controls Its Brain">Eccles 1986</a>&#93; have appealed to the existence of <a href="/wiki/Quantum_indeterminacy" title="Quantum indeterminacy">quantum indeterminacy</a>, and have suggested that a nonphysical consciousness might be responsible for filling the resultant causal gaps, <a href="/wiki/Determinism" title="Determinism">determining</a> which values some physical magnitudes might take within an apparently "<a href="/wiki/Probabilistic" class="mw-redirect" title="Probabilistic">probabilistic</a>" distribution... This is an audacious and interesting suggestion, but it has a number of problems... A second way in which quantum mechanics bears on the issue of <a href="/wiki/Causal_closure" title="Causal closure">causal closure</a> lies with the fact that in some <a href="/wiki/Interpretations_of_quantum_mechanics" title="Interpretations of quantum mechanics">interpretations of the quantum formalism</a>, consciousness itself plays a vital causal role, being required to bring about the so-called "<a href="/wiki/Wave_function_collapse" title="Wave function collapse">collapse of the wave-function</a>." This collapse is supposed to occur upon any act of <a href="/wiki/Measurement_in_quantum_mechanics" title="Measurement in quantum mechanics">measurement</a>; and in one interpretation, the only way to distinguish a measurement from a nonmeasurement is via the presence of consciousness. This theory is certainly not universally accepted (for a start, it <i>presupposes</i> that consciousness is not itself <a href="/wiki/Physicalism" title="Physicalism">physical</a>, surely contrary to the views of most physicists), and I do not accept it myself, but in any case it seems that the kind of causal work consciousness performs here is quite different from the kind required for consciousness to play a role in directing behavior... In any case, all versions of interactionist dualism have a conceptual problem that suggests that they are less successful in avoiding <a href="/wiki/Epiphenomenalism" title="Epiphenomenalism">epiphenomenalism</a> than they might seem; or at least they are no better off than <a href="/wiki/Naturalistic_dualism" class="mw-redirect" title="Naturalistic dualism">naturalistic dualism</a>. Even on these views, there is a sense in which the <a href="/wiki/Phenomenalism" title="Phenomenalism">phenomenal</a> is irrelevant. We can always subtract the phenomenal component from any explanatory account, yielding a purely <a href="/wiki/Causality" title="Causality">causal</a> component.<sup id="cite_ref-Chalmers1996_8-0" class="reference"><a href="#cite_note-Chalmers1996-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup></p><div class="templatequotecite">—&#8202;<cite><a href="/wiki/David_Chalmers" title="David Chalmers">David Chalmers</a>, "The Irreducibility of Consciousness" in <i>The Conscious Mind: In Search of a Fundamental Theory</i></cite></div></blockquote> <p>The interpretation has also been criticized for not explaining which things have sufficient consciousness to collapse the wave function. Also, it posits an important role for the conscious mind, and it has been questioned how this could be the case for the earlier universe, before consciousness had evolved or emerged. It has been argued that "[consciousness causes collapse] does not allow sensible discussion of <a href="/wiki/Big_Bang" title="Big Bang">Big Bang</a> cosmology or biological <a href="/wiki/Evolution" title="Evolution">evolution</a>".<sup id="cite_ref-Schreiber_5-4" class="reference"><a href="#cite_note-Schreiber-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> For example, <a href="/wiki/Roger_Penrose" title="Roger Penrose">Roger Penrose</a> remarked: "[T]he evolution of conscious life on this planet is due to appropriate mutations having taken place at various times. These, presumably, are quantum events, so they would exist only in linearly superposed form until they finally led to the evolution of a conscious being—whose very existence depends on all the right mutations having 'actually' taken place!"<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> Others further suppose a universal mind (see also <a href="/wiki/Panpsychism" title="Panpsychism">panpsychism</a> and <a href="/wiki/Panexperientialism" class="mw-redirect" title="Panexperientialism">panexperientialism</a>). Other researchers have expressed similar objections to the introduction of any subjective element in the collapse of the wavefunction.<sup id="cite_ref-Mandel_10-0" class="reference"><a href="#cite_note-Mandel-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Zeilinger_11-0" class="reference"><a href="#cite_note-Zeilinger-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Brukner-Zeilinger_12-0" class="reference"><a href="#cite_note-Brukner-Zeilinger-12"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Testability">Testability</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Von_Neumann%E2%80%93Wigner_interpretation&amp;action=edit&amp;section=4" title="Edit section: Testability"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>It has been argued that the results of <a href="/wiki/Delayed-choice_quantum_eraser" title="Delayed-choice quantum eraser">delayed-choice quantum eraser</a> experiments empirically falsify this interpretation.<sup id="cite_ref-Yu_and_Nikolic_13-0" class="reference"><a href="#cite_note-Yu_and_Nikolic-13"><span class="cite-bracket">&#91;</span>13<span class="cite-bracket">&#93;</span></a></sup> However, the argument was shown to be invalid because an interference pattern would only be visible after post-measurement detections were correlated through use of a coincidence counter;<sup id="cite_ref-de_Barros_14-0" class="reference"><a href="#cite_note-de_Barros-14"><span class="cite-bracket">&#91;</span>14<span class="cite-bracket">&#93;</span></a></sup> if that was not true, the experiment would allow signaling into the past.<sup id="cite_ref-Knight_15-0" class="reference"><a href="#cite_note-Knight-15"><span class="cite-bracket">&#91;</span>15<span class="cite-bracket">&#93;</span></a></sup> The <a href="/wiki/Delayed-choice_quantum_eraser" title="Delayed-choice quantum eraser">delayed-choice quantum eraser</a> experiment has also been used to argue for support of this interpretation,<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">&#91;</span>16<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">&#91;</span>17<span class="cite-bracket">&#93;</span></a></sup> but, as with other arguments, none of the cited references prove or falsify this interpretation. </p><p>The central role played by consciousness in this interpretation naturally calls for use of psychological experiments to verify or falsify it. One such approach relies on explaining the empirical presentiment effect quantum mechanically.<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">&#91;</span>18<span class="cite-bracket">&#93;</span></a></sup> Another approach makes use of the psychological priming effect to design an appropriate test.<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">&#91;</span>19<span class="cite-bracket">&#93;</span></a></sup> Both methods claim verification success. </p> <div class="mw-heading mw-heading2"><h2 id="Reception">Reception</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Von_Neumann%E2%80%93Wigner_interpretation&amp;action=edit&amp;section=5" title="Edit section: Reception"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A poll was conducted at a quantum mechanics conference in 2011 using 33 participants (including physicists, mathematicians, and philosophers). Researchers found that 6% of participants (2 of the 33) indicated that they believed the observer "plays a distinguished physical role (e.g., wave-function collapse by consciousness)". This poll also states that 55% (18 of the 33) indicated that they believed the observer "plays a fundamental role in the application of the formalism but plays no distinguished physical role". They also mention that "Popular accounts have sometimes suggested that the Copenhagen interpretation attributes such a role to consciousness. In our view, this is to misunderstand the Copenhagen interpretation."<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">&#91;</span>20<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Views_of_the_pioneers_of_quantum_mechanics">Views of the pioneers of quantum mechanics</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Von_Neumann%E2%80%93Wigner_interpretation&amp;action=edit&amp;section=6" title="Edit section: Views of the pioneers of quantum mechanics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Many of the originators of quantum mechanical theory held that humans can effectively interrogate nature through interacting with it, and that in this regard quantum mechanics is not different from <a href="/wiki/Classical_mechanics" title="Classical mechanics">classical mechanics</a>.<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">&#91;</span>21<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">&#91;</span>22<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">&#91;</span>23<span class="cite-bracket">&#93;</span></a></sup> In addition, Werner Heisenberg maintained that <a href="/wiki/Wave_function_collapse" title="Wave function collapse">wave function collapse</a>, "The discontinuous change in the probability function", takes place when the result of a measurement is registered in the mind of an observer. However, this is because he understood the probability function as an artifact of human knowledge: he also argued that the reality of the material transition from "possible" to "actual" was mind-independent.<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">&#91;</span>24<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Albert_Einstein" title="Albert Einstein">Albert Einstein</a>, who believed in <a href="/wiki/Philosophical_realism" title="Philosophical realism">realism</a>, and did not accept the theoretical completeness of quantum mechanics, similarly appealed for the merely epistemic conception of the wave function: </p> <blockquote><p>[I advocate] that one conceives of the psi-function [i.e., wavefunction] only as an incomplete description of a real state of affairs, where the incompleteness of the description is forced by the fact that observation of the state is only able to grasp part of the real factual situation. Then one can at least escape the singular conception that observation (conceived as an act of consciousness) influences the real physical state of things; the change in the psi-function through observation then does not correspond essentially to the change in a real matter of fact but rather to the alteration in <i>our knowledge</i> of this matter of fact.<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">&#91;</span>25<span class="cite-bracket">&#93;</span></a></sup></p></blockquote> <p>Bohr also took an active interest in the philosophical implications of quantum theories such as his <a href="/wiki/Complementarity_(physics)" title="Complementarity (physics)">complementarity principle</a>.<sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">&#91;</span>26<span class="cite-bracket">&#93;</span></a></sup> He believed quantum theory offers a complete description of nature, albeit one that is simply ill-suited for everyday experiences – which are better described by classical mechanics and probability. Bohr never specified a demarcation line above which objects cease to be quantum and become classical. He believed that it was not a question of physics, but one of philosophy or convenience.<sup id="cite_ref-Bohr1928_27-0" class="reference"><a href="#cite_note-Bohr1928-27"><span class="cite-bracket">&#91;</span>27<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Von_Neumann%E2%80%93Wigner_interpretation&amp;action=edit&amp;section=7" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Interpretations_of_quantum_mechanics" title="Interpretations of quantum mechanics">Interpretations of quantum mechanics</a></li> <li><a href="/wiki/Measurement_in_quantum_mechanics" title="Measurement in quantum mechanics">Measurement in quantum mechanics</a></li> <li><a href="/wiki/Quantum_mind" title="Quantum mind">Quantum mind</a></li> <li><a href="/wiki/Quantum_Zeno_effect" title="Quantum Zeno effect">Quantum Zeno effect</a></li> <li><a href="/wiki/Wigner%27s_friend" title="Wigner&#39;s friend">Wigner's friend</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Von_Neumann%E2%80%93Wigner_interpretation&amp;action=edit&amp;section=8" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist reflist-columns references-column-width" style="column-width: 30em;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">Heisenberg, W. (1958). Physics and Philosophy: The Revolution in Modern Science. Harper &amp; Row.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text">Zurek, W. H. (2003). Decoherence, einselection, and the existential interpretation. Philosophy of Science, 70(5), 720-731.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text">F. London and E. Bauer, "La théorie de l'observation en mécanique quantique" (1939), English translation in <i>Quantum Theory and Measurement</i>, edited by J.&#160;A. Wheeler and W.&#160;H. Zurek, Princeton University, Princeton New Jersey, 1983, pp. 217–259. <style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-691-08315-0" title="Special:BookSources/0-691-08315-0">0-691-08315-0</a></span> </li> <li id="cite_note-Wigner-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-Wigner_4-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFWignerHenry_Margenau1967" class="citation journal cs1">Wigner, Eugene; Henry Margenau (1967). <a rel="nofollow" class="external text" href="https://archive.today/20130112081842/http://link.aip.org/link/?AJP/35/1169/1">"Remarks on the Mind Body Question, in Symmetries and Reflections, Scientific Essays"</a>. <i>American Journal of Physics</i>. <b>35</b> (12): <span class="nowrap">1169–</span>1170. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1967AmJPh..35.1169W">1967AmJPh..35.1169W</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1119%2F1.1973829">10.1119/1.1973829</a>. 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Retrieved <span class="nowrap">2009-07-30</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=American+Journal+of+Physics&amp;rft.atitle=Remarks+on+the+Mind+Body+Question%2C+in+Symmetries+and+Reflections%2C+Scientific+Essays&amp;rft.volume=35&amp;rft.issue=12&amp;rft.pages=%3Cspan+class%3D%22nowrap%22%3E1169-%3C%2Fspan%3E1170&amp;rft.date=1967&amp;rft_id=info%3Adoi%2F10.1119%2F1.1973829&amp;rft_id=info%3Abibcode%2F1967AmJPh..35.1169W&amp;rft.aulast=Wigner&amp;rft.aufirst=Eugene&amp;rft.au=Henry+Margenau&amp;rft_id=http%3A%2F%2Flink.aip.org%2Flink%2F%3FAJP%2F35%2F1169%2F1&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AVon+Neumann%E2%80%93Wigner+interpretation" class="Z3988"></span></span> </li> <li id="cite_note-Schreiber-5"><span class="mw-cite-backlink">^ <a href="#cite_ref-Schreiber_5-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Schreiber_5-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Schreiber_5-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-Schreiber_5-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-Schreiber_5-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFSchreiber1995" class="citation arxiv cs1">Schreiber, Zvi (1995-01-16). 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"Quantum Theory and the Role of Mind in Nature". <i>Foundations of Physics</i>. <b>31</b> (10): <span class="nowrap">1465–</span>1499. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/quant-ph/0103043">quant-ph/0103043</a></span>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1023%2FA%3A1012682413597">10.1023/A:1012682413597</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:189823051">189823051</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Foundations+of+Physics&amp;rft.atitle=Quantum+Theory+and+the+Role+of+Mind+in+Nature&amp;rft.volume=31&amp;rft.issue=10&amp;rft.pages=%3Cspan+class%3D%22nowrap%22%3E1465-%3C%2Fspan%3E1499&amp;rft.date=2001&amp;rft_id=info%3Aarxiv%2Fquant-ph%2F0103043&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A189823051%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1023%2FA%3A1012682413597&amp;rft.au=H.+Stapp&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AVon+Neumann%E2%80%93Wigner+interpretation" class="Z3988"></span></span> </li> <li id="cite_note-Esfeld-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-Esfeld_7-0">^</a></b></span> <span class="reference-text">Michael Esfeld, (1999), <a rel="nofollow" class="external text" href="http://www.unil.ch/webdav/site/philo/shared/DocsPerso/EsfeldMichael/1999/SHPMP99.pdf">Essay Review: Wigner's View of Physical Reality</a>, published in Studies in History and Philosophy of Modern Physics, 30B, pp. 145–154, Elsevier Science Ltd.</span> </li> <li id="cite_note-Chalmers1996-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-Chalmers1996_8-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFChalmers1996" class="citation book cs1">Chalmers, David (1996). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/consciousmindins00chal"><i>The Conscious Mind: In Search of a Fundamental Theory</i></a></span>. 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Wiley.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Atomic+Physics+and+Human+Knowledge&amp;rft.pub=Wiley&amp;rft.date=1958&amp;rft.aulast=Bohr&amp;rft.aufirst=Niels&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AVon+Neumann%E2%80%93Wigner+interpretation" class="Z3988"></span>, pp. 73, 81: "The freedom of experimentation, presupposed in classical physics, is of course retained and corresponds to the free choice of experimental arrangement for which the mathematical structure of the quantum mechanical formalism offers the appropriate latitude. ... In the great drama of existence we ourselves are both actors and spectators."</span> </li> <li id="cite_note-22"><span class="mw-cite-backlink"><b><a href="#cite_ref-22">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFHeisenberg1958" class="citation book cs1">Heisenberg, Werner (1958). <i>Physics and Philosophy</i>. Harper &amp; Row.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Physics+and+Philosophy&amp;rft.pub=Harper+%26+Row&amp;rft.date=1958&amp;rft.aulast=Heisenberg&amp;rft.aufirst=Werner&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AVon+Neumann%E2%80%93Wigner+interpretation" class="Z3988"></span>, p. 32: "[T]he measuring device has been constructed by the observer, and we have to remember that what we observe is not nature in itself but nature exposed to our method of questioning."</span> </li> <li id="cite_note-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-23">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFPauli1954" class="citation journal cs1">Pauli, Wolfgang (1954). "Naturwissenschaftliche und erkenntnistheoretische Aspekte der Ideen vom Unbewussten". <i>Dialectica</i>. <b>8</b> (4): <span class="nowrap">283–</span>301. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1111%2Fj.1746-8361.1954.tb01265.x">10.1111/j.1746-8361.1954.tb01265.x</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Dialectica&amp;rft.atitle=Naturwissenschaftliche+und+erkenntnistheoretische+Aspekte+der+Ideen+vom+Unbewussten&amp;rft.volume=8&amp;rft.issue=4&amp;rft.pages=%3Cspan+class%3D%22nowrap%22%3E283-%3C%2Fspan%3E301&amp;rft.date=1954&amp;rft_id=info%3Adoi%2F10.1111%2Fj.1746-8361.1954.tb01265.x&amp;rft.aulast=Pauli&amp;rft.aufirst=Wolfgang&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AVon+Neumann%E2%80%93Wigner+interpretation" class="Z3988"></span> as translated in Harald Atmanspacher and Hans Primas, <i>Journal of Consciousness Studies</i> 13(3), 5-50 (2006): "Pauli's ideas on mind and matter in the context of contemporary science": "Once the physical observer has chosen his experimental arrangement, he has no further influence on the result which is objectively registered and generally accessible. Subjective properties of the observer or his psychological state are as irrelevant in the quantum mechanical laws of nature as in classical physics."</span> </li> <li id="cite_note-24"><span class="mw-cite-backlink"><b><a href="#cite_ref-24">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFHeisenberg1958" class="citation book cs1">Heisenberg, Werner (1958). <i>Physics and Philosophy</i>. Harper &amp; Row.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Physics+and+Philosophy&amp;rft.pub=Harper+%26+Row&amp;rft.date=1958&amp;rft.aulast=Heisenberg&amp;rft.aufirst=Werner&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AVon+Neumann%E2%80%93Wigner+interpretation" class="Z3988"></span>, p. 28. ("The transition from the 'possible' to the 'actual' takes place as soon as the interaction of the object with the measuring device, and thereby the rest of the world, has come into play; it is not connected with the act of registration of the result by the mind of the observer. The discontinuous change in the probability function, however, takes place with the act of registration, because it is the discontinuous change of our knowledge in the instant of registration that has its image in the discontinuous change of the probability function.")</span> </li> <li id="cite_note-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-25">^</a></b></span> <span class="reference-text">A. Einstein to W. Heitler, 1948, translated in A. Fine, <i>Einstein's Interpretations of Quantum Theory,</i> p. 262.</span> </li> <li id="cite_note-26"><span class="mw-cite-backlink"><b><a href="#cite_ref-26">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.aip.org/history-programs/niels-bohr-library/oral-histories/4517-5">"Niels Bohr – Session V"</a>. <i>Oral History Interviews</i>. <a href="/wiki/American_Institute_of_Physics" title="American Institute of Physics">American Institute of Physics</a>. 5 January 2015<span class="reference-accessdate">. Retrieved <span class="nowrap">2022-04-07</span></span>. <q>I felt that philosophers were very odd people who really were lost, because they have not the instinct that it is important to learn something and that we must be prepared really to learn something of very great importance. There are all kinds of people, but I think it would be reasonable to say that no man who is called a philosopher really understands what one means by the complementary description.</q></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Oral+History+Interviews&amp;rft.atitle=Niels+Bohr+%E2%80%93+Session+V&amp;rft.date=2015-01-05&amp;rft_id=https%3A%2F%2Fwww.aip.org%2Fhistory-programs%2Fniels-bohr-library%2Foral-histories%2F4517-5&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AVon+Neumann%E2%80%93Wigner+interpretation" class="Z3988"></span></span> </li> <li id="cite_note-Bohr1928-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-Bohr1928_27-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222" /><cite id="CITEREFBohr1928" class="citation journal cs1">Bohr, Niels (1928). <a rel="nofollow" class="external text" href="https://doi.org/10.1038%2F121580a0">"The Quantum Postulate and the Recent Development of Atomic Theory"</a>. <i>Nature</i>. <b>121</b> (3050): <span class="nowrap">580–</span>590. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/1928Natur.121..580B">1928Natur.121..580B</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1038%2F121580a0">10.1038/121580a0</a></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Nature&amp;rft.atitle=The+Quantum+Postulate+and+the+Recent+Development+of+Atomic+Theory&amp;rft.volume=121&amp;rft.issue=3050&amp;rft.pages=%3Cspan+class%3D%22nowrap%22%3E580-%3C%2Fspan%3E590&amp;rft.date=1928&amp;rft_id=info%3Adoi%2F10.1038%2F121580a0&amp;rft_id=info%3Abibcode%2F1928Natur.121..580B&amp;rft.aulast=Bohr&amp;rft.aufirst=Niels&amp;rft_id=https%3A%2F%2Fdoi.org%2F10.1038%252F121580a0&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3AVon+Neumann%E2%80%93Wigner+interpretation" class="Z3988"></span> ": "[T]he quantum postulate implies that any observation of atomic phenomena will involve an interaction with the agency of observation not to be neglected. Accordingly, an independent reality in the ordinary physical sense can neither be ascribed to the phenomena nor to the agencies of observation. After all, the concept of observation is in so far arbitrary as it depends upon which objects are included in the system to be observed. Ultimately, every observation can, of course, be reduced to our sense perceptions. The circumstance, however, that in interpreting observations use has always to be made of theoretical notions entails that for every particular case it is a question of convenience at which point the concept of observation involving the quantum postulate with its inherent "irrationality" is brought in."</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Von_Neumann%E2%80%93Wigner_interpretation&amp;action=edit&amp;section=9" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.iafe.uba.ar/e2e/phys230/history/moon.pdf">PHYSICS TODAY: "Is the moon there when nobody looks? Reality and the quantum theory"</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20130816033412/http://www.iafe.uba.ar/e2e/phys230/history/moon.pdf">Archived</a> 2013-08-16 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> (pdf)</li> <li><a rel="nofollow" class="external text" href="https://www.math.auckland.ac.nz/~king/Preprints/pdf/tuz6.pdf">"Quantum Cosmology and the Hard Problem of the Conscious Brain"</a> (pdf)</li> <li><a rel="nofollow" class="external text" href="https://arxiv.org/abs/quant-ph/0108039v1">Mindful Sensationalism: A Quantum Framework for Consciousness.</a></li> <li><a rel="nofollow" class="external text" href="http://www.tcm.phy.cam.ac.uk/~bdj10/">Brian Josephson on QM and consciousness</a></li> <li><a rel="nofollow" class="external text" href="http://www.newswise.com/articles/view/522088/?sc=swhr">Quantum Enigma from Oxford University Press</a></li> <li><a rel="nofollow" class="external text" href="https://arxiv.org/abs/0705.1996v2">"Critique of Quantum Enigma Physics encounters Consciousness", by Michael Nauenberg</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist 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scope="row" class="navbox-group" style="width:1%">Figures</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Philosophy</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Alfred_North_Whitehead" title="Alfred North Whitehead">Alfred North Whitehead</a></li> <li><a href="/wiki/Arthur_Schopenhauer" title="Arthur Schopenhauer">Arthur Schopenhauer</a></li> <li><a href="/wiki/Baruch_Spinoza" title="Baruch Spinoza">Baruch Spinoza</a></li> <li><a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Bertrand Russell</a></li> <li><a href="/wiki/Brian_O%27Shaughnessy_(philosopher)" title="Brian O&#39;Shaughnessy (philosopher)">Brian O'Shaughnessy</a></li> <li><a href="/wiki/Charles_Augustus_Strong" title="Charles Augustus Strong">Charles Augustus Strong</a></li> <li><a href="/wiki/Christopher_Peacocke" title="Christopher Peacocke">Christopher Peacocke</a></li> <li><a href="/wiki/Colin_McGinn" title="Colin McGinn">Colin McGinn</a></li> <li><a href="/wiki/Daniel_Dennett" title="Daniel Dennett">Daniel Dennett</a></li> <li><a href="/wiki/David_Chalmers" title="David Chalmers">David Chalmers</a></li> <li><a href="/wiki/David_Hume" title="David Hume">David Hume</a></li> <li><a href="/wiki/David_Papineau" title="David Papineau">David Papineau</a></li> <li><a href="/wiki/David_Pearce_(philosopher)" title="David Pearce (philosopher)">David Pearce</a></li> <li><a href="/wiki/Donald_Davidson_(philosopher)" title="Donald Davidson (philosopher)">Donald Davidson</a></li> <li><a href="/wiki/Douglas_Hofstadter" title="Douglas Hofstadter">Douglas Hofstadter</a></li> <li><a href="/wiki/Edmund_Husserl" title="Edmund Husserl">Edmund Husserl</a></li> <li><a href="/wiki/Frank_Cameron_Jackson" title="Frank Cameron Jackson">Frank Jackson</a></li> <li><a href="/wiki/Fred_Dretske" title="Fred Dretske">Fred Dretske</a></li> <li><a href="/wiki/Galen_Strawson" title="Galen Strawson">Galen Strawson</a></li> <li><a href="/wiki/George_Berkeley" title="George Berkeley">George Berkeley</a></li> <li><a href="/wiki/George_Henry_Lewes" title="George Henry Lewes">George Henry Lewes</a></li> <li><a href="/wiki/Georges_Rey" title="Georges Rey">Georges Rey</a></li> <li><a href="/wiki/Gottfried_Wilhelm_Leibniz" title="Gottfried Wilhelm Leibniz">Gottfried Leibniz</a></li> <li><a href="/wiki/Immanuel_Kant" title="Immanuel Kant">Immanuel Kant</a></li> <li><a href="/wiki/John_Eccles_(neurophysiologist)" title="John Eccles (neurophysiologist)">John Eccles</a></li> <li><a href="/wiki/John_Locke" title="John Locke">John Locke</a></li> <li><a href="/wiki/John_Polkinghorne" title="John Polkinghorne">John Polkinghorne</a></li> <li><a href="/wiki/John_Searle" title="John Searle">John Searle</a></li> <li><a href="/wiki/Joseph_Levine_(philosopher)" title="Joseph Levine (philosopher)">Joseph Levine</a></li> <li><a href="/wiki/Karl_Popper" title="Karl Popper">Karl Popper</a></li> <li><a href="/wiki/Keith_Frankish" title="Keith Frankish">Keith Frankish</a></li> <li><a href="/wiki/Kenneth_M._Sayre" title="Kenneth M. Sayre">Kenneth M. Sayre</a></li> <li><a href="/wiki/Maurice_Merleau-Ponty" title="Maurice Merleau-Ponty">Maurice Merleau-Ponty</a></li> <li><a href="/wiki/Max_Velmans" title="Max Velmans">Max Velmans</a></li> <li><a href="/wiki/Michael_Tye_(philosopher)" title="Michael Tye (philosopher)">Michael Tye</a></li> <li><a href="/wiki/Martin_Heidegger" title="Martin Heidegger">Martin Heidegger</a></li> <li><a href="/wiki/Ned_Block" title="Ned Block">Ned Block</a></li> <li><a href="/wiki/Patricia_Churchland" title="Patricia Churchland">Patricia Churchland</a></li> <li><a href="/wiki/Paul_Churchland" title="Paul Churchland">Paul Churchland</a></li> <li><a href="/wiki/Philip_Goff_(philosopher)" title="Philip Goff (philosopher)">Philip Goff</a></li> <li><a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">René Descartes</a></li> <li><a href="/wiki/Thomas_Metzinger" title="Thomas Metzinger">Thomas Metzinger</a></li> <li><a href="/wiki/Thomas_Nagel" title="Thomas Nagel">Thomas Nagel</a></li> <li><a href="/wiki/William_Kingdon_Clifford" title="William Kingdon Clifford">William Kingdon Clifford</a></li> <li><a href="/wiki/William_Lycan" title="William Lycan">William Lycan</a></li> <li><a href="/wiki/William_Seager_(philosopher)" title="William Seager (philosopher)">William Seager</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Psychology</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Carl_Jung" title="Carl Jung">Carl Gustav Jung</a></li> <li><a href="/wiki/Donald_D._Hoffman" title="Donald D. Hoffman">Donald D. Hoffman</a></li> <li><a href="/wiki/Franz_Brentano" title="Franz Brentano">Franz Brentano</a></li> <li><a href="/wiki/Gustav_Fechner" title="Gustav Fechner">Gustav Fechner</a></li> <li><a href="/wiki/Julian_Jaynes" title="Julian Jaynes">Julian Jaynes</a></li> <li><a href="/wiki/Kurt_Koffka" title="Kurt Koffka">Kurt Koffka</a></li> <li><a href="/wiki/Max_Wertheimer" title="Max Wertheimer">Max Wertheimer</a></li> <li><a href="/wiki/Sigmund_Freud" title="Sigmund Freud">Sigmund Freud</a></li> <li><a href="/wiki/Wilhelm_Wundt" title="Wilhelm Wundt">Wilhelm Wundt</a></li> <li><a href="/wiki/William_James" title="William James">William James</a></li> <li><a href="/wiki/Wolfgang_K%C3%B6hler" title="Wolfgang Köhler">Wolfgang Köhler</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Neuroscience</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Anil_Seth" title="Anil Seth">Anil Seth</a></li> <li><a href="/wiki/Antonio_Damasio" title="Antonio Damasio">Antonio Damasio</a></li> <li><a href="/wiki/Benjamin_Libet" title="Benjamin Libet">Benjamin Libet</a></li> <li><a href="/wiki/Bernard_Baars" title="Bernard Baars">Bernard Baars</a></li> <li><a href="/wiki/Christof_Koch" title="Christof Koch">Christof Koch</a></li> <li><a href="/wiki/Francis_Crick" title="Francis Crick">Francis Crick</a></li> <li><a href="/wiki/Francisco_Varela" title="Francisco Varela">Francisco Varela</a></li> <li><a href="/wiki/Gerald_Edelman" title="Gerald Edelman">Gerald Edelman</a></li> <li><a href="/wiki/Giulio_Tononi" title="Giulio Tononi">Giulio Tononi</a></li> <li><a href="/wiki/Karl_H._Pribram" title="Karl H. Pribram">Karl Pribram</a></li> <li><a href="/wiki/Lawrence_Weiskrantz" title="Lawrence Weiskrantz">Lawrence Weiskrantz</a></li> <li><a href="/wiki/Michael_Gazzaniga" title="Michael Gazzaniga">Michael Gazzaniga</a></li> <li><a href="/wiki/Michael_Graziano" title="Michael Graziano">Michael Graziano</a></li> <li><a href="/wiki/Patrick_Wilken" title="Patrick Wilken">Patrick Wilken</a></li> <li><a href="/wiki/Roger_Wolcott_Sperry" title="Roger Wolcott Sperry">Roger Sperry</a></li> <li><a href="/wiki/Stanislas_Dehaene" title="Stanislas Dehaene">Stanislas Dehaene</a></li> <li><a href="/wiki/Steven_Laureys" title="Steven Laureys">Steven Laureys</a></li> <li><a href="/wiki/Stuart_Hameroff" title="Stuart Hameroff">Stuart Hameroff</a></li> <li><a href="/wiki/Wolf_Singer" title="Wolf Singer">Wolf Singer</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Others</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Annaka_Harris" title="Annaka Harris">Annaka Harris</a></li> <li><a href="/wiki/David_Bohm" title="David Bohm">David Bohm</a></li> <li><a href="/wiki/Eugene_Wigner" title="Eugene Wigner">Eugene Wigner</a></li> <li><a href="/wiki/Erwin_Schr%C3%B6dinger" title="Erwin Schrödinger">Erwin Schrödinger</a></li> <li><a href="/wiki/Marvin_Minsky" title="Marvin Minsky">Marvin Minsky</a></li> <li><a href="/wiki/Max_Planck" title="Max Planck">Max Planck</a></li> <li><a href="/wiki/Roger_Penrose" title="Roger Penrose">Roger Penrose</a></li> <li><a href="/wiki/Susan_Blackmore" title="Susan Blackmore">Susan Blackmore</a></li> <li><a href="/wiki/Victor_J._Stenger" title="Victor J. Stenger">Victor J. Stenger</a></li> <li><a href="/wiki/Wolfgang_Pauli" title="Wolfgang Pauli">Wolfgang Pauli</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Theories</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Philosophy_of_mind" title="Philosophy of mind">Philosophy of mind</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Anomalous_monism" title="Anomalous monism">Anomalous monism</a></li> <li><a href="/wiki/Computational_theory_of_mind" title="Computational theory of mind">Computationalism</a></li> <li><a href="/wiki/Double-aspect_theory" title="Double-aspect theory">Double-aspect theory</a></li> <li><a href="/wiki/Eliminative_materialism" title="Eliminative materialism">Eliminative materialism</a></li> <li><a href="/wiki/Emergentism" title="Emergentism">Emergentism</a></li> <li><a href="/wiki/Epiphenomenalism" title="Epiphenomenalism">Epiphenomenalism</a></li> <li><a href="/wiki/Functionalism_(philosophy_of_mind)" title="Functionalism (philosophy of mind)">Functionalism</a></li> <li><a href="/wiki/Idealism" title="Idealism">Idealism</a></li> <li><a href="/wiki/Interactionism_(philosophy_of_mind)" title="Interactionism (philosophy of mind)">Interactionism</a></li> <li><a href="/wiki/Materialism" title="Materialism">Materialism</a></li> <li><a href="/wiki/Mind%E2%80%93body_dualism" title="Mind–body dualism">Mind–body dualism</a></li> <li><a href="/wiki/Monism" title="Monism">Monism</a></li> <li><a href="/wiki/Neutral_monism" title="Neutral monism">Neutral monism</a></li> <li><a href="/wiki/New_mysterianism" title="New mysterianism">New mysterianism</a></li> <li><a href="/wiki/Nondualism" title="Nondualism">Nondualism</a></li> <li><a href="/wiki/Panpsychism" title="Panpsychism">Panpsychism</a></li> <li><a href="/wiki/Psychophysical_parallelism" title="Psychophysical parallelism">Parallelism</a></li> <li><a href="/wiki/Physicalism" title="Physicalism">Physicalism</a></li> <li><a href="/wiki/Property_dualism" title="Property dualism">Property dualism</a></li> <li><a href="/wiki/Reflexive_monism" title="Reflexive monism">Reflexive monism</a></li> <li><a href="/wiki/Revisionary_materialism" class="mw-redirect" title="Revisionary materialism">Revisionary materialism</a></li> <li><a href="/wiki/Solipsism" title="Solipsism">Solipsism</a></li> <li><a href="/wiki/Type_physicalism" title="Type physicalism">Type physicalism (reductive materialism, identity theory)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Science</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Attention_schema_theory" title="Attention schema theory">Attention schema theory</a></li> <li><a href="/wiki/A_Universe_of_Consciousness#The_Dynamic_Core_Hypothesis" title="A Universe of Consciousness">Dynamic core hypothesis</a></li> <li><a href="/wiki/Damasio%27s_theory_of_consciousness" title="Damasio&#39;s theory of consciousness">Damasio's theory of consciousness</a></li> <li><a href="/wiki/Electromagnetic_theories_of_consciousness" title="Electromagnetic theories of consciousness">Electromagnetic theories of consciousness</a></li> <li><a href="/wiki/Global_workspace_theory" title="Global workspace theory">Global workspace theory</a></li> <li><a href="/wiki/Higher-order_theories_of_consciousness" title="Higher-order theories of consciousness">Higher-order theories of consciousness</a></li> <li><a href="/wiki/Holonomic_brain_theory" title="Holonomic brain theory">Holonomic brain theory</a></li> <li><a href="/wiki/Integrated_information_theory" title="Integrated information theory">Integrated information theory</a></li> <li><a href="/wiki/Visual_masking#Lamme&#39;s_recurrent_feedback_hypothesis_of_visual_awareness_and_masking" title="Visual masking">Lamme's recurrent feedback hypothesis</a></li> <li><a href="/wiki/Multiple_drafts_model" title="Multiple drafts model">Multiple drafts model</a></li> <li><a href="/wiki/Orchestrated_objective_reduction" title="Orchestrated objective reduction">Orchestrated objective reduction</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Topics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Agnosia" title="Agnosia">Agnosia</a></li> <li><a href="/wiki/Altered_state_of_consciousness" title="Altered state of consciousness">Altered state of consciousness</a></li> <li><a href="/wiki/Animal_consciousness" title="Animal consciousness">Animal consciousness</a></li> <li><a href="/wiki/Artificial_consciousness" title="Artificial consciousness">Artificial consciousness</a></li> <li><a href="/wiki/Attention" title="Attention">Attention</a> <ul><li><a href="/wiki/Attentional_control" title="Attentional control">Attentional control</a></li></ul></li> <li><a href="/wiki/Awareness" title="Awareness">Awareness</a></li> <li><a href="/wiki/Binding_problem" title="Binding problem">Binding problem</a></li> <li><a href="/wiki/Binocular_rivalry" title="Binocular rivalry">Binocular rivalry</a></li> <li><a href="/wiki/Blindsight" title="Blindsight">Blindsight</a></li> <li><a href="/wiki/Brain" title="Brain">Brain</a></li> <li><a href="/wiki/Cartesian_theater" title="Cartesian theater">Cartesian theater</a></li> <li><a href="/wiki/Consciousness_after_death" class="mw-redirect" title="Consciousness after death">Consciousness after death</a></li> <li><a href="/wiki/Disorders_of_consciousness" class="mw-redirect" title="Disorders of consciousness">Disorders of consciousness</a></li> <li><a href="/wiki/Divided_consciousness" class="mw-redirect" title="Divided consciousness">Divided consciousness</a></li> <li><a href="/wiki/Dual_consciousness" title="Dual consciousness">Dual consciousness (split-brain)</a></li> <li><a href="/wiki/Experience" title="Experience">Experience</a></li> <li><a href="/wiki/Explanatory_gap" title="Explanatory gap">Explanatory gap</a></li> <li><a href="/wiki/Free_will" title="Free will">Free will</a></li> <li><a href="/wiki/Flash_suppression" title="Flash suppression">Flash suppression</a></li> <li><a href="/wiki/Hallucination" title="Hallucination">Hallucination</a></li> <li><a href="/wiki/Hard_problem_of_consciousness" title="Hard problem of consciousness">Hard problem of consciousness</a></li> <li><a href="/wiki/Heterophenomenology" title="Heterophenomenology">Heterophenomenology</a></li> <li><a href="/wiki/Higher_consciousness" title="Higher consciousness">Higher consciousness</a></li> <li><a href="/wiki/Illusion" title="Illusion">Illusion</a></li> <li><a href="/wiki/Introspection_illusion" title="Introspection illusion">Introspection illusion</a></li> <li><a href="/wiki/Knowledge_argument" title="Knowledge argument">Knowledge argument</a></li> <li><a href="/wiki/Locked-in_syndrome" title="Locked-in syndrome">Locked-in syndrome</a></li> <li><a href="/wiki/Mind" title="Mind">Mind</a></li> <li><a href="/wiki/Mind%E2%80%93body_problem" title="Mind–body problem">Mind–body problem</a></li> <li><a href="/wiki/Minimally_conscious_state" title="Minimally conscious state">Minimally conscious state</a></li> <li><a href="/wiki/Neural_correlates_of_consciousness" title="Neural correlates of consciousness">Neural correlates of consciousness</a></li> <li><a href="/wiki/Neurophenomenology" title="Neurophenomenology">Neurophenomenology</a></li> <li><a href="/wiki/Ontology" title="Ontology">Ontology</a></li> <li><a href="/wiki/Phenomenology_(philosophy)" title="Phenomenology (philosophy)">Phenomenology</a></li> <li><a href="/wiki/Philosophical_zombie" title="Philosophical zombie">Philosophical zombie</a></li> <li><a href="/wiki/Philosophy_of_mind" title="Philosophy of mind">Philosophy of mind</a></li> <li><a href="/wiki/Primary_consciousness" title="Primary consciousness">Primary consciousness</a></li> <li><a href="/wiki/Problem_of_other_minds" title="Problem of other minds">Problem of other minds</a></li> <li><a href="/wiki/Qualia" title="Qualia">Qualia</a></li> <li><a href="/wiki/Quantum_mind" title="Quantum mind">Quantum mind</a></li> <li><a href="/wiki/Reentry_(neural_circuitry)" title="Reentry (neural circuitry)">Reentry</a></li> <li><a href="/wiki/Sakshi_(witness)" title="Sakshi (witness)">Sakshi</a> <ul><li><i><a href="/wiki/Purusha" title="Purusha">Purusha</a></i></li></ul></li> <li><a href="/wiki/Secondary_consciousness" title="Secondary consciousness">Secondary consciousness</a></li> <li><a href="/wiki/Sentience" title="Sentience">Sentience</a></li> <li><a href="/wiki/Sentientism" title="Sentientism">Sentientism</a></li> <li><a href="/wiki/Sociology_of_human_consciousness" title="Sociology of human consciousness">Sociology of human consciousness</a></li> <li><a href="/wiki/Soul" title="Soul">Soul</a></li> <li><a href="/wiki/Stream_of_consciousness_(psychology)" title="Stream of consciousness (psychology)">Stream of consciousness</a></li> <li><a href="/wiki/Subconscious" title="Subconscious">Subconscious</a></li> <li><a href="/wiki/Subjective_character_of_experience" title="Subjective character of experience">Subjective character of experience</a></li> <li><a href="/wiki/Subjectivity_and_objectivity_(philosophy)" title="Subjectivity and objectivity (philosophy)">Subjectivity and objectivity</a></li> <li><a href="/wiki/Unconscious_mind" title="Unconscious mind">Unconscious mind</a></li> <li><a href="/wiki/Unconsciousness" title="Unconsciousness">Unconsciousness</a></li> <li><a href="/wiki/Upanishads" title="Upanishads">Upanishads</a></li> <li><a href="/wiki/Visual_masking" title="Visual masking">Visual masking</a></li> <li><a class="mw-selflink selflink">Von Neumann–Wigner interpretation</a></li> <li><a href="/wiki/Yogachara" title="Yogachara">Yogachara</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Works</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/A_Universe_of_Consciousness" title="A Universe of Consciousness">A Universe of Consciousness</a></i></li> <li><a href="/wiki/Association_for_the_Scientific_Study_of_Consciousness" title="Association for the Scientific Study of Consciousness">Association for the Scientific Study of Consciousness</a></li> <li><i><a href="/wiki/Consciousness_and_Cognition" title="Consciousness and Cognition">Consciousness and Cognition</a></i></li> <li><i><a href="/wiki/Consciousness_Explained" title="Consciousness Explained">Consciousness Explained</a></i></li> <li><i><a href="/wiki/Cosmic_Consciousness" title="Cosmic Consciousness">Cosmic Consciousness</a></i></li> <li><i><a href="/wiki/How_the_Self_Controls_Its_Brain" title="How the Self Controls Its Brain">How the Self Controls Its Brain</a></i></li> <li><i><a href="/wiki/Journal_of_Consciousness_Studies" title="Journal of Consciousness Studies">Journal of Consciousness Studies</a></i></li> <li><a href="/wiki/Online_Consciousness_Conference" title="Online Consciousness Conference">Online Consciousness Conference</a></li> <li><i><a href="/wiki/Psyche_(consciousness_journal)" title="Psyche (consciousness journal)">Psyche</a></i></li> <li><i><a href="/wiki/The_Astonishing_Hypothesis" title="The Astonishing Hypothesis">The Astonishing Hypothesis</a></i></li> <li><i><a href="/wiki/The_Conscious_Mind" title="The Conscious Mind">The Conscious Mind</a></i></li> <li><i><a href="/wiki/The_Emperor%27s_New_Mind" title="The Emperor&#39;s New Mind">The Emperor's New Mind</a></i></li> <li><a href="/wiki/The_Science_of_Consciousness" title="The Science of Consciousness">The Science of Consciousness</a></li> <li><i><a href="/wiki/Understanding_Consciousness" title="Understanding Consciousness">Understanding Consciousness</a></i></li> <li>"<a href="/wiki/What_Is_It_Like_to_Be_a_Bat%3F" title="What Is It Like to Be a Bat?">What Is It Like to Be a Bat?</a>"</li> <li><i><a href="/wiki/Wider_than_the_Sky" title="Wider than the Sky">Wider than the Sky</a></i></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Consciousness" title="Category:Consciousness">Category</a></li> <li><span class="noviewer" typeof="mw:File"><span title="Commons page"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span> <a href="https://commons.wikimedia.org/wiki/Category:Consciousness" class="extiw" title="commons:Category:Consciousness">Commons</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235" /></div><div role="navigation" class="navbox" aria-labelledby="Quantum_mechanics332" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374" /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231" /><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Quantum_mechanics_topics" title="Template:Quantum mechanics topics"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Quantum_mechanics_topics" title="Template talk:Quantum mechanics topics"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Quantum_mechanics_topics" title="Special:EditPage/Template:Quantum mechanics topics"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Quantum_mechanics332" style="font-size:114%;margin:0 4em"><a href="/wiki/Quantum_mechanics" title="Quantum mechanics">Quantum mechanics</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Background</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Introduction_to_quantum_mechanics" title="Introduction to quantum mechanics">Introduction</a></li> <li><a href="/wiki/History_of_quantum_mechanics" title="History of quantum mechanics">History</a> <ul><li><a href="/wiki/Timeline_of_quantum_mechanics" title="Timeline of quantum mechanics">Timeline</a></li></ul></li> <li><a href="/wiki/Classical_mechanics" title="Classical mechanics">Classical mechanics</a></li> <li><a href="/wiki/Old_quantum_theory" title="Old quantum theory">Old quantum theory</a></li> <li><a href="/wiki/Glossary_of_elementary_quantum_mechanics" title="Glossary of elementary quantum mechanics">Glossary</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Fundamentals</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Born_rule" title="Born rule">Born rule</a></li> <li><a href="/wiki/Bra%E2%80%93ket_notation" title="Bra–ket notation">Bra–ket notation</a></li> <li><a href="/wiki/Complementarity_(physics)" title="Complementarity (physics)"> Complementarity</a></li> <li><a href="/wiki/Density_matrix" title="Density matrix">Density matrix</a></li> <li><a href="/wiki/Energy_level" title="Energy level">Energy level</a> <ul><li><a href="/wiki/Ground_state" title="Ground state">Ground state</a></li> <li><a href="/wiki/Excited_state" title="Excited state">Excited state</a></li> <li><a href="/wiki/Degenerate_energy_levels" title="Degenerate energy levels">Degenerate levels</a></li> <li><a href="/wiki/Zero-point_energy" title="Zero-point energy">Zero-point energy</a></li></ul></li> <li><a href="/wiki/Quantum_entanglement" title="Quantum entanglement">Entanglement</a></li> <li><a href="/wiki/Hamiltonian_(quantum_mechanics)" title="Hamiltonian (quantum mechanics)">Hamiltonian</a></li> <li><a href="/wiki/Wave_interference" title="Wave interference">Interference</a></li> <li><a href="/wiki/Quantum_decoherence" title="Quantum decoherence">Decoherence</a></li> <li><a href="/wiki/Measurement_in_quantum_mechanics" title="Measurement in quantum mechanics">Measurement</a></li> <li><a href="/wiki/Quantum_nonlocality" title="Quantum nonlocality">Nonlocality</a></li> <li><a href="/wiki/Quantum_state" title="Quantum state">Quantum state</a></li> <li><a href="/wiki/Quantum_superposition" title="Quantum superposition">Superposition</a></li> <li><a href="/wiki/Quantum_tunnelling" title="Quantum tunnelling">Tunnelling</a></li> <li><a href="/wiki/Scattering_theory" class="mw-redirect" title="Scattering theory">Scattering theory</a></li> <li><a href="/wiki/Symmetry_in_quantum_mechanics" title="Symmetry in quantum mechanics">Symmetry in quantum mechanics</a></li> <li><a href="/wiki/Uncertainty_principle" title="Uncertainty principle">Uncertainty</a></li> <li><a href="/wiki/Wave_function" title="Wave function">Wave function</a> <ul><li><a href="/wiki/Wave_function_collapse" title="Wave function collapse">Collapse</a></li> <li><a href="/wiki/Wave%E2%80%93particle_duality" title="Wave–particle duality">Wave–particle duality</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Formulations</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Mathematical_formulation_of_quantum_mechanics" title="Mathematical formulation of quantum mechanics">Formulations</a></li> <li><a href="/wiki/Heisenberg_picture" title="Heisenberg picture">Heisenberg</a></li> <li><a href="/wiki/Interaction_picture" title="Interaction picture">Interaction</a></li> <li><a href="/wiki/Matrix_mechanics" title="Matrix mechanics">Matrix mechanics</a></li> <li><a href="/wiki/Schr%C3%B6dinger_picture" title="Schrödinger picture">Schrödinger</a></li> <li><a href="/wiki/Path_integral_formulation" title="Path integral formulation">Path integral formulation</a></li> <li><a href="/wiki/Phase-space_formulation" title="Phase-space formulation">Phase space</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Equations</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Klein%E2%80%93Gordon_equation" title="Klein–Gordon equation">Klein–Gordon</a></li> <li><a href="/wiki/Dirac_equation" title="Dirac equation">Dirac</a></li> <li><a href="/wiki/Weyl_equation" title="Weyl equation">Weyl</a></li> <li><a href="/wiki/Majorana_equation" title="Majorana equation">Majorana</a></li> <li><a href="/wiki/Rarita%E2%80%93Schwinger_equation" title="Rarita–Schwinger equation">Rarita–Schwinger</a></li> <li><a href="/wiki/Pauli_equation" title="Pauli equation">Pauli</a></li> <li><a href="/wiki/Rydberg_formula" title="Rydberg formula">Rydberg</a></li> <li><a href="/wiki/Schr%C3%B6dinger_equation" title="Schrödinger equation">Schrödinger</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Interpretations_of_quantum_mechanics" title="Interpretations of quantum mechanics">Interpretations</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Quantum_Bayesianism" title="Quantum Bayesianism">Bayesian</a></li> <li><a href="/wiki/Consistent_histories" title="Consistent histories">Consistent histories</a></li> <li><a href="/wiki/Copenhagen_interpretation" title="Copenhagen interpretation">Copenhagen</a></li> <li><a href="/wiki/De_Broglie%E2%80%93Bohm_theory" title="De Broglie–Bohm theory">de Broglie–Bohm</a></li> <li><a href="/wiki/Ensemble_interpretation" title="Ensemble interpretation">Ensemble</a></li> <li><a href="/wiki/Hidden-variable_theory" title="Hidden-variable theory">Hidden-variable</a> <ul><li><a href="/wiki/Local_hidden-variable_theory" title="Local hidden-variable theory">Local</a> <ul><li><a href="/wiki/Superdeterminism" title="Superdeterminism">Superdeterminism</a></li></ul></li></ul></li> <li><a href="/wiki/Many-worlds_interpretation" title="Many-worlds interpretation">Many-worlds</a></li> <li><a href="/wiki/Objective-collapse_theory" title="Objective-collapse theory">Objective collapse</a></li> <li><a href="/wiki/Quantum_logic" title="Quantum logic">Quantum logic</a></li> <li><a href="/wiki/Relational_quantum_mechanics" title="Relational quantum mechanics">Relational</a></li> <li><a href="/wiki/Transactional_interpretation" title="Transactional interpretation">Transactional</a></li> <li><a class="mw-selflink selflink">Von Neumann–Wigner</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Experiments</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bell_test" title="Bell test">Bell test</a></li> <li><a href="/wiki/Davisson%E2%80%93Germer_experiment" title="Davisson–Germer experiment">Davisson–Germer</a></li> <li><a href="/wiki/Delayed-choice_quantum_eraser" title="Delayed-choice quantum eraser">Delayed-choice quantum eraser</a></li> <li><a href="/wiki/Double-slit_experiment" title="Double-slit experiment">Double-slit</a></li> <li><a href="/wiki/Franck%E2%80%93Hertz_experiment" title="Franck–Hertz experiment">Franck–Hertz</a></li> <li><a href="/wiki/Mach%E2%80%93Zehnder_interferometer" title="Mach–Zehnder interferometer">Mach–Zehnder interferometer</a></li> <li><a href="/wiki/Elitzur%E2%80%93Vaidman_bomb_tester" title="Elitzur–Vaidman bomb tester">Elitzur–Vaidman</a></li> <li><a href="/wiki/Popper%27s_experiment" title="Popper&#39;s experiment">Popper</a></li> <li><a href="/wiki/Quantum_eraser_experiment" title="Quantum eraser experiment">Quantum eraser</a></li> <li><a href="/wiki/Stern%E2%80%93Gerlach_experiment" title="Stern–Gerlach experiment">Stern–Gerlach</a></li> <li><a href="/wiki/Wheeler%27s_delayed-choice_experiment" title="Wheeler&#39;s delayed-choice experiment">Wheeler's delayed choice</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quantum_nanoscience" class="mw-redirect" title="Quantum nanoscience">Science</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Quantum_biology" title="Quantum biology">Quantum biology</a></li> <li><a href="/wiki/Quantum_chemistry" title="Quantum chemistry">Quantum chemistry</a></li> <li><a href="/wiki/Quantum_chaos" title="Quantum chaos">Quantum chaos</a></li> <li><a href="/wiki/Quantum_cosmology" title="Quantum cosmology">Quantum cosmology</a></li> <li><a href="/wiki/Quantum_differential_calculus" title="Quantum differential calculus">Quantum differential calculus</a></li> <li><a href="/wiki/Quantum_dynamics" title="Quantum dynamics">Quantum dynamics</a></li> <li><a href="/wiki/Quantum_geometry" title="Quantum geometry">Quantum geometry</a></li> <li><a href="/wiki/Measurement_problem" title="Measurement problem">Quantum measurement problem</a></li> <li><a href="/wiki/Quantum_mind" title="Quantum mind">Quantum mind</a></li> <li><a href="/wiki/Quantum_stochastic_calculus" title="Quantum stochastic calculus">Quantum stochastic calculus</a></li> <li><a href="/wiki/Quantum_spacetime" title="Quantum spacetime">Quantum spacetime</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Quantum_technology" class="mw-redirect" title="Quantum technology">Technology</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Quantum_algorithm" title="Quantum algorithm">Quantum algorithms</a></li> <li><a href="/wiki/Quantum_amplifier" title="Quantum amplifier">Quantum amplifier</a></li> <li><a href="/wiki/Quantum_bus" title="Quantum bus">Quantum bus</a></li> <li><a href="/wiki/Quantum_cellular_automaton" title="Quantum cellular automaton">Quantum cellular automata</a> <ul><li><a href="/wiki/Quantum_finite_automaton" title="Quantum finite automaton">Quantum finite automata</a></li></ul></li> <li><a href="/wiki/Quantum_channel" title="Quantum channel">Quantum channel</a></li> <li><a href="/wiki/Quantum_circuit" title="Quantum circuit">Quantum circuit</a></li> <li><a href="/wiki/Quantum_complexity_theory" title="Quantum complexity theory">Quantum complexity theory</a></li> <li><a href="/wiki/Quantum_computing" title="Quantum computing">Quantum computing</a> <ul><li><a href="/wiki/Timeline_of_quantum_computing_and_communication" title="Timeline of quantum computing and communication">Timeline</a></li></ul></li> <li><a href="/wiki/Quantum_cryptography" title="Quantum cryptography">Quantum cryptography</a></li> <li><a href="/wiki/Quantum_electronics" class="mw-redirect" title="Quantum electronics">Quantum electronics</a></li> <li><a href="/wiki/Quantum_error_correction" title="Quantum error correction">Quantum error correction</a></li> <li><a href="/wiki/Quantum_imaging" title="Quantum imaging">Quantum imaging</a></li> <li><a href="/wiki/Quantum_image_processing" title="Quantum image processing">Quantum image processing</a></li> <li><a href="/wiki/Quantum_information" title="Quantum information">Quantum information</a></li> <li><a href="/wiki/Quantum_key_distribution" title="Quantum key distribution">Quantum key distribution</a></li> <li><a href="/wiki/Quantum_logic" title="Quantum logic">Quantum logic</a></li> <li><a href="/wiki/Quantum_logic_gate" title="Quantum logic gate">Quantum logic gates</a></li> <li><a href="/wiki/Quantum_machine" title="Quantum machine">Quantum machine</a></li> <li><a href="/wiki/Quantum_machine_learning" title="Quantum machine learning">Quantum machine learning</a></li> <li><a href="/wiki/Quantum_metamaterial" title="Quantum metamaterial">Quantum metamaterial</a></li> <li><a href="/wiki/Quantum_metrology" title="Quantum metrology">Quantum metrology</a></li> <li><a href="/wiki/Quantum_network" title="Quantum network">Quantum network</a></li> <li><a href="/wiki/Quantum_neural_network" title="Quantum neural network">Quantum neural network</a></li> <li><a href="/wiki/Quantum_optics" title="Quantum optics">Quantum optics</a></li> <li><a href="/wiki/Quantum_programming" title="Quantum programming">Quantum programming</a></li> <li><a href="/wiki/Quantum_sensor" title="Quantum sensor">Quantum sensing</a></li> <li><a href="/wiki/Quantum_simulator" title="Quantum simulator">Quantum simulator</a></li> <li><a href="/wiki/Quantum_teleportation" title="Quantum teleportation">Quantum teleportation</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Extensions</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Quantum_fluctuation" title="Quantum fluctuation">Quantum fluctuation</a></li> <li><a href="/wiki/Casimir_effect" title="Casimir effect">Casimir effect</a></li> <li><a href="/wiki/Quantum_statistical_mechanics" title="Quantum statistical mechanics">Quantum statistical mechanics</a></li> <li><a href="/wiki/Quantum_field_theory" title="Quantum field theory">Quantum field theory</a> <ul><li><a href="/wiki/History_of_quantum_field_theory" title="History of quantum field theory">History</a></li></ul></li> <li><a href="/wiki/Quantum_gravity" title="Quantum gravity">Quantum gravity</a></li> <li><a href="/wiki/Relativistic_quantum_mechanics" title="Relativistic quantum mechanics">Relativistic quantum mechanics</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Schr%C3%B6dinger%27s_cat" title="Schrödinger&#39;s cat">Schrödinger's cat</a> <ul><li><a href="/wiki/Schr%C3%B6dinger%27s_cat_in_popular_culture" title="Schrödinger&#39;s cat in popular culture">in popular culture</a></li></ul></li> <li><a href="/wiki/Wigner%27s_friend" title="Wigner&#39;s friend">Wigner's friend</a></li> <li><a href="/wiki/Einstein%E2%80%93Podolsky%E2%80%93Rosen_paradox" title="Einstein–Podolsky–Rosen paradox">EPR paradox</a></li> <li><a href="/wiki/Quantum_mysticism" title="Quantum mysticism">Quantum mysticism</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Quantum_mechanics" title="Category:Quantum 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