Energy conservation is a deep principle that is obeyed by all of the fundamental forces of nature.
\nIt puts stringent constraints on all systems, particularly systems that are \u2018isolated,\u2019 meaning that
\nno energy can enter or escape. Notwithstanding the success of the principle of stationary action, it
\nis fair to wonder to what extent physics can be formulated from the principle of stationary energy.
\nWe show that if one interprets mechanical energy as a state function, then its stationarity leads to
\na novel formulation of classical mechanics. However, unlike Lagrangian and Hamiltonian mechanics,
\nwhich deliver their state functions via algebraic proscriptions (i.e., the Lagrangian is always the
\ndifference between a system\u2019s kinetic and potential energies), this new formalism identifies its
\nstate functions as the solutions to a differential equation. This is an important difference because
\ndifferential equations can generate more general solutions than algebraic recipes. When applied…<\/p>\n","protected":false},"excerpt":{"rendered":"
Energy conservation is a deep principle that is obeyed by all of the fundamental forces of nature.
\nIt puts stringent constraints on all systems, particularly systems that are \u2018isolated,\u2019 meaning that
\nno energy can enter or escape. Notwithstanding…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-137545","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/137545","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=137545"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/137545\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=137545"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=137545"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=137545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}