{"id":458,"date":"2026-06-26T17:30:28","date_gmt":"2026-06-26T17:30:28","guid":{"rendered":"https:\/\/timeforsanity.com\/qm\/?page_id=458"},"modified":"2026-06-28T13:20:54","modified_gmt":"2026-06-28T13:20:54","slug":"02-07-copenhagen-interpretation","status":"publish","type":"page","link":"https:\/\/timeforsanity.com\/qm\/?page_id=458","title":{"rendered":"02.07 Copenhagen Interpretation"},"content":{"rendered":"\n<p class=\"qm-chapter wp-block-paragraph\">Chapter 2 &#8211; Wave functions and uncertainty<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Copenhagen Interpretation<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">We will end this chapter by looking at the summary of quantum mechanics that was defined in 1927 by Niels Bohr and Werner Heisenberg. These core principles is known as the Copenhagen Interpretation<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Superposition<\/strong>: particles exist in multiple states until observed<\/li>\n\n\n\n<li><strong>Wave function collapse<\/strong>: observation collapses the wave function<\/li>\n\n\n\n<li><strong>Wave-particle duality<\/strong>: quantum objects show wave-like or particle-like behavior depending on how they are measured.<\/li>\n\n\n\n<li><strong>Indeterminism<\/strong>: outcomes can only be predicted probabilistically<\/li>\n\n\n\n<li><strong>Complementarity<\/strong>: there are complementary properties that cannot be simultaneously measured (e.g. position and momentum)<\/li>\n\n\n\n<li><strong>Role of observer<\/strong>: quantum mechanics does not describe properties independently of observation<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">There are variations of these foundational principles that we will get to later but this is still the most widely accepted structure for quantum mechanics<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<div class=\"wp-block-group qm-big-idea\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"qm-big-idea-title wp-block-paragraph\">Big Idea<\/p>\n\n\n\n<p class=\"qm-big-idea-text wp-block-paragraph\"><strong><strong>The Copenhagen Interpretation describes the core principles of the probabilistic nature of quantum mechanics<\/strong><\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group qm-nav\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group is-content-justification-center is-layout-flex wp-container-core-group-is-layout-de391324 wp-block-group-is-layout-flex\">\n<div class=\"wp-block-group qm-nav-title\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"qm-nav-title wp-block-paragraph\">Back<\/p>\n\n\n\n<p class=\"qm-nav-link wp-block-paragraph\"><a href=\"https:\/\/timeforsanity.com\/qm\/?page_id=447\" data-type=\"page\" data-id=\"447\">Uncertainty<\/a><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"qm-nav-title wp-block-paragraph\">Overview<\/p>\n\n\n\n<p class=\"qm-nav-link wp-block-paragraph\"><a href=\"https:\/\/timeforsanity.com\/qm\/?page_id=70\" data-type=\"page\" data-id=\"70\">Contents<\/a><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"qm-nav-title wp-block-paragraph\">Next<\/p>\n\n\n\n<p class=\"qm-nav-link wp-block-paragraph\"><a href=\"https:\/\/timeforsanity.com\/qm\/?page_id=501\" data-type=\"page\" data-id=\"501\">Schr\u00f6dinger\u2019s <span style=\"font-weight: 500; letter-spacing: 0em;\">cat<\/span><\/a><\/p>\n<\/div><\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Chapter 2 &#8211; Wave functions and uncertainty Copenhagen Interpretation We will end this chapter by looking at the summary of quantum mechanics that was defined in 1927 by Niels Bohr and Werner Heisenberg. These core principles is known as the Copenhagen Interpretation There are variations of these foundational principles that we will get to later &#8230; <a title=\"02.07 Copenhagen Interpretation\" class=\"read-more\" href=\"https:\/\/timeforsanity.com\/qm\/?page_id=458\" aria-label=\"Read more about 02.07 Copenhagen Interpretation\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":15,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-458","page","type-page","status-publish"],"_links":{"self":[{"href":"https:\/\/timeforsanity.com\/qm\/index.php?rest_route=\/wp\/v2\/pages\/458","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/timeforsanity.com\/qm\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/timeforsanity.com\/qm\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/timeforsanity.com\/qm\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/timeforsanity.com\/qm\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=458"}],"version-history":[{"count":10,"href":"https:\/\/timeforsanity.com\/qm\/index.php?rest_route=\/wp\/v2\/pages\/458\/revisions"}],"predecessor-version":[{"id":936,"href":"https:\/\/timeforsanity.com\/qm\/index.php?rest_route=\/wp\/v2\/pages\/458\/revisions\/936"}],"wp:attachment":[{"href":"https:\/\/timeforsanity.com\/qm\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=458"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}