{"id":69480,"date":"2020-05-17T00:40:47","date_gmt":"2020-05-16T21:40:47","guid":{"rendered":"https:\/\/www.lovendal.ro\/wp52\/?p=69480"},"modified":"2020-05-17T00:40:47","modified_gmt":"2020-05-16T21:40:47","slug":"incredibila-legatura-intre-geometria-spatiilor-curbate-a-lui-riemann-zambetul-monei-lisa-si-teoria-relativitatii-a-lui-einstein","status":"publish","type":"post","link":"https:\/\/www.lovendal.ro\/wp52\/incredibila-legatura-intre-geometria-spatiilor-curbate-a-lui-riemann-zambetul-monei-lisa-si-teoria-relativitatii-a-lui-einstein\/","title":{"rendered":"Incredibila leg\u0103tur\u0103 \u00eentre geometria spa\u0163iilor curbate a lui Riemann, z\u00e2mbetul Monei Lisa \u015fi teoria relativit\u0103\u0163ii a lui Einstein"},"content":{"rendered":"<p><a href=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2020\/05\/curbura-spatiului.jpeg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-69482\" src=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2020\/05\/curbura-spatiului.jpeg\" alt=\"\" width=\"359\" height=\"263\" srcset=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2020\/05\/curbura-spatiului.jpeg 359w, https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2020\/05\/curbura-spatiului-300x220.jpeg 300w\" sizes=\"auto, (max-width: 359px) 100vw, 359px\" \/><\/a>Printre cele mai importante descoperiri matematice din secolul XIX se num\u0103r\u0103 cea a lui Georg Bemhard Riemann, \u00een care se descriu spa\u0163iile curbate de dimensiuni arbitrare. \u00cen faimoasa sa prelegere inaugural\u0103 din 1854 de la Universitatea din Gottingen, Riemann a rupt lan\u0163urile ce limitau g\u00e2ndirea la un spa\u0163iu plan, euclidian, \u015fi a deschis drumul pentru tratarea matematic\u0103 a geometriei \u00een toate tipurile de suprafe\u0163e curbate. Ideile lui Riemann au oferit matematicii posibilitatea de a analiza cantitativ spa\u0163iile curbate.<\/p>\n<p>Peste o jum\u0103tate de secol, Einstein s-a folosit de geometria lui Riemann, pentru o profund\u0103 \u015fi nou\u0103 \u00een\u0163elegere a gravita\u0163iei, \u00eenlocund astfel vechea perspectiv\u0103 newtonian\u0103. Teoria relativit\u0103\u0163ii generale a lui Einstein afirm\u0103 c\u0103 propriet\u0103\u0163ile curbate ale Universului sunt descrise de geometria lui Riemann.<\/p>\n<p>Dar cum se poate explica mai bine aceast\u0103 geometrie? C\u00e2nd sari pe o trambulin\u0103 elastic\u0103, greutatea corpului face ca ea s\u0103 se deformeze prin \u00eentinderea fibrelor ei elastice. Aceast\u0103 \u00eentindere e maxim\u0103 chiar sub corpul t\u0103u \u015fi devine din ce \u00een ce mai mic\u0103 pe m\u0103sur\u0103 ce te apropii de marginea trambulinei. Efectul se poate observa \u015fi mai bine dac\u0103 pe suprafa\u0163a elastic\u0103 e pictat chipul at\u00e2t de cunoscut al Mona Lisei. C\u00e2nd trambulina nu e supus\u0103 niciunui efort, Mona Lisa arat\u0103 normal. Dar c\u00e2nd stai pe trambulin\u0103, imaginea Mona Lisei e distorsionat\u0103, \u00een special \u00een zona aflat\u0103 sub corpul t\u0103u, a\u015fa cum se vede \u015fi \u00een imaginea de mai jos.<\/p>\n<p><a href=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2020\/05\/trambulina-Mona-Lisa.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-69481\" src=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2020\/05\/trambulina-Mona-Lisa.jpg\" alt=\"\" width=\"540\" height=\"429\" srcset=\"https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2020\/05\/trambulina-Mona-Lisa.jpg 540w, https:\/\/www.lovendal.ro\/wp52\/wp-content\/uploads\/2020\/05\/trambulina-Mona-Lisa-300x238.jpg 300w\" sizes=\"auto, (max-width: 540px) 100vw, 540px\" \/><\/a>Acest exemplu surprinde esen\u0163a matematicii lui Riemann care descrie suprafe\u0163e curbate. Sprijinindu-se pe ideile anterioare ale matematicienilor Gauss, Lobacevski \u015fi Bolyai, Riemann a demonstrat c\u0103 o analiz\u0103 atent\u0103 a distan\u0163elor dintre toate punctele de pe sau dintr-un obiect face posibil\u0103 determinarea cantitativ\u0103 a curb\u0103rii. \u00cen esen\u0163\u0103 se poate spune c\u0103, cu c\u00e2t este mai puternic\u0103 \u00eentinderea (neuniform\u0103) &#8211; adic\u0103 abaterea de la rela\u0163iile de distan\u0163\u0103 pentru o form\u0103 plat\u0103 -, cu at\u00e2t e mai mare curbarea obiectului. De exemplu, trambulina elastic\u0103 e \u00eentins\u0103 la maximum chiar sub corpul t\u0103u, deci rela\u0163iile de distan\u0163\u0103 dintre punctele din aceast\u0103 zon\u0103 sunt deformate cel mai mult. Aceast\u0103 regiune a trambulinei are deci curbura cea mai mare, dup\u0103 cum ne a\u015fteptam av\u00e2nd \u00een vedere c\u0103 aici Mona Lisa e supus\u0103 celor mai mari distorsiuni, produc\u00e2nd un fel de grimas\u0103 \u00een locul enigmaticului ei z\u00e2mbet.<\/p>\n<p>Einstein a adoptat descoperirile matematice ale lui Riemann, d\u00e2ndu- le o interpretare fizic\u0103 precis\u0103. Se \u015ftie c\u0103 aceast\u0103 curbare a spa\u0163iului-timp \u00eentruchipeaz\u0103 for\u0163a gravita\u0163ional\u0103. \u00cen sens matematic, curbarea spa\u0163iului-timp, ca \u015fi curbarea trambulinei elastice, reflect\u0103 distorsionarea distan\u0163elor dintre punctele lui.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Printre cele mai importante descoperiri matematice din secolul XIX se num\u0103r\u0103 cea a lui Georg Bemhard Riemann, \u00een care se descriu spa\u0163iile curbate de dimensiuni arbitrare. \u00cen faimoasa sa prelegere inaugural\u0103 din 1854 de la Universitatea din Gottingen, Riemann a &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Incredibila leg\u0103tur\u0103 \u00eentre geometria spa\u0163iilor curbate a lui Riemann, z\u00e2mbetul Monei Lisa \u015fi teoria relativit\u0103\u0163ii a lui Einstein\" class=\"read-more button\" href=\"https:\/\/www.lovendal.ro\/wp52\/incredibila-legatura-intre-geometria-spatiilor-curbate-a-lui-riemann-zambetul-monei-lisa-si-teoria-relativitatii-a-lui-einstein\/#more-69480\" aria-label=\"Cite\u0219te mai multe despre Incredibila leg\u0103tur\u0103 \u00eentre geometria spa\u0163iilor curbate a lui Riemann, z\u00e2mbetul Monei Lisa \u015fi teoria relativit\u0103\u0163ii a lui Einstein\">Cititi mai multe<\/a><\/p>\n","protected":false},"author":1,"featured_media":69482,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[106],"tags":[14583,5238,14581,610,1721,1751,14582,1722,679,1446,14580,2501,9803,1104,789,2636,1087,2250],"class_list":["post-69480","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-stiinta","tag-bolyai","tag-corp","tag-curba","tag-einstein","tag-gauss","tag-geometrie","tag-lobacevski","tag-matematica","tag-matematician","tag-mona-lisa","tag-riemann","tag-spatiu","tag-stiinta","tag-teoria-relativitatii","tag-timp","tag-trambulina","tag-univers","tag-universitate","resize-featured-image"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v23.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Incredibila leg\u0103tur\u0103 \u00eentre geometria spa\u0163iilor curbate a lui Riemann, z\u00e2mbetul Monei Lisa \u015fi teoria relativit\u0103\u0163ii a lui Einstein - Secretele lui Lovendal<\/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.lovendal.ro\/wp52\/incredibila-legatura-intre-geometria-spatiilor-curbate-a-lui-riemann-zambetul-monei-lisa-si-teoria-relativitatii-a-lui-einstein\/\" \/>\n<meta property=\"og:locale\" content=\"ro_RO\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Incredibila leg\u0103tur\u0103 \u00eentre geometria spa\u0163iilor curbate a lui Riemann, z\u00e2mbetul Monei Lisa \u015fi teoria relativit\u0103\u0163ii a lui Einstein\" \/>\n<meta property=\"og:description\" content=\"Printre cele mai importante descoperiri matematice din secolul XIX se num\u0103r\u0103 cea a lui Georg Bemhard Riemann, \u00een care se descriu spa\u0163iile curbate de dimensiuni arbitrare. \u00cen faimoasa sa prelegere inaugural\u0103 din 1854 de la Universitatea din Gottingen, Riemann a ... 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