{"id":84024,"date":"2021-07-15T12:51:30","date_gmt":"2021-07-15T12:51:30","guid":{"rendered":"https:\/\/www.manahelthabet.com\/?page_id=84024"},"modified":"2021-07-15T13:00:08","modified_gmt":"2021-07-15T13:00:08","slug":"quantum-chaos-and-the-brain","status":"publish","type":"page","link":"https:\/\/www.manahelthabet.com\/ar\/publication\/quantum-chaos-and-the-brain\/","title":{"rendered":"Quantum Chaos and the Brain"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"84024\" class=\"elementor elementor-84024\" data-elementor-settings=\"[]\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1c9ffc8f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1c9ffc8f\" data-element_type=\"section\" 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class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f398b6d\" data-id=\"f398b6d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5f27470e elementor-widget elementor-widget-heading\" data-id=\"5f27470e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Quantum Chaos and the Brain<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section 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class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-227b05d2\" data-id=\"227b05d2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-83e46c8 elementor-icon-list--layout-inline elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"83e46c8\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<ul class=\"elementor-icon-list-items elementor-inline-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item elementor-inline-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-calendar-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Date Written: March, 2020<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item elementor-inline-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-user\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Author: Dr. Manahel Thabet<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7994e5e2 elementor-widget elementor-widget-text-editor\" data-id=\"7994e5e2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h2>Abstract<\/h2><p>Quantum Chaos and the Brain Manahel A Thabet-IBCHN March 2020 On a very basic level, the entire universe runs on the rules of physics, which are mathematical concept which our reality conforms to. On a similarly basic level, our entire being is run based on our brain. Then, the need to explore the brain using the tools of our most basic reality should emerge naturally. In this report, we shall first lay down some theoretical groundwork, and then see in what ways quantum mechanics and chaos emerge in our brain. Chaos Differential equations The basis of chaos is in the behaviour of a system of differential equations. A differential equation is an equation which describes the change of a variable in regard to time. Consider one of the most basic differential equations, Hook\u2019s equation: 2 2 = \u2212 (1.1) For the sake of clarity, a first time-differential will have a single do as a superscript, and a second time-differential will have two dots as a superscript, reformulating Hook\u2019s law as: \u0307= \u2212 (1.2) In essence, Hook\u2019s law describes a behaviour of a weight oscillating on a spring, where the more it is displaced from the point of origin, the greater the acceleration it will experience towards the point of origin. A system of differential equations will be of the form: \u0307= () + () + (,) + \u0307= () + \u210e() + (,) + (1.3) In this form, you can see how the current state of x and y influence each other. Such a system will describe the behaviour of two variables. The classical example is predator vs. prey, where x describes the number of prey, and y describes the number of predators: \u0307= () \u2212 () \u0307= \u2212 () + \u210e() (1.4) Model assumptions: \u2022 There is infinite food \u2022 The populations of prey and predators are controlled purely but their own population and not outside forces \u2022 Prey meeting will produce offspring \u2022 Predators have infinite appetite \u2022 Predators starve and die<\/p><p>Download at:\u00a0<a href=\"https:\/\/www.academia.edu\/42432274\/Quantum_Chaos_and_the_Brain\">https:\/\/www.academia.edu\/42432274\/Quantum_Chaos_and_the_Brain<\/a><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Home Quantum Chaos and the Brain Date Written: March, 2020 Author: Dr. Manahel Thabet Abstract Quantum Chaos and the Brain Manahel A Thabet-IBCHN March 2020 On a very basic level, the entire universe runs on the rules of physics, which are mathematical concept which our reality conforms to. On a similarly basic level, our entire [&hellip;]<\/p>","protected":false},"author":1,"featured_media":0,"parent":1650,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"class_list":["post-84024","page","type-page","status-publish","hentry","no-thumb"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Quantum Chaos and the Brain - Prof. Manahel Thabet<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.manahelthabet.com\/ar\/publication\/quantum-chaos-and-the-brain\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quantum Chaos and the Brain - Prof. Manahel Thabet\" \/>\n<meta property=\"og:description\" content=\"Home Quantum Chaos and the Brain Date Written: March, 2020 Author: Dr. Manahel Thabet Abstract Quantum Chaos and the Brain Manahel A Thabet-IBCHN March 2020 On a very basic level, the entire universe runs on the rules of physics, which are mathematical concept which our reality conforms to. 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