{"id":416,"date":"2024-12-13T14:33:08","date_gmt":"2024-12-13T11:33:08","guid":{"rendered":"https:\/\/blog.metu.edu.tr\/caglart\/?p=416"},"modified":"2024-12-13T14:40:18","modified_gmt":"2024-12-13T11:40:18","slug":"sayi-sekil-olcum-g","status":"publish","type":"post","link":"https:\/\/blog.metu.edu.tr\/caglart\/2024\/12\/13\/sayi-sekil-olcum-g\/","title":{"rendered":"SAYI, \u015eEK\u0130L, \u00d6L\u00c7\u00dcM \u2013g\u2013"},"content":{"rendered":"<p>Fizik \u201311 \/ g\u2013<\/p>\n<p>\u0130\u00e7erik: Ne yapt\u0131\u011f\u0131m\u0131z\u0131n fark\u0131nda olmak ya da ol_A_mamak!<\/p>\n<p>0,999\u2026 = 1 ise, 1,999\u2026 =2 ve 2,999 = 3 ve 0,2 + 1,999\u2026 = 1,199\u2026 = 1,2 vs. olacak. Yani, her say\u0131 kendisinden ba\u015fka bir say\u0131ya daha e\u015fit olacak. B\u00f6ylesine sa\u00e7ma bir Say\u0131 Sistemi (\u2018Number Theory\u2019), Aritmetik, Cebir ve Matematik kullanmak sa\u00e7mal\u0131k de\u011filse nedir?<\/p>\n<p>Fizikte s\u0131k\u00e7a kar\u015f\u0131la\u015f\u0131lan \u03c0_say\u0131s\u0131n\u0131n ger\u00e7ek de\u011ferini bilmeksizin, ger\u00e7ek de\u011ferinin nas\u0131l bulunabilece\u011fini bilmeksizin ama eldeki (\u2018Quantum Computers\u2019 dahil) hangi ara\u00e7, gere\u00e7 ve teknoloji kullan\u0131lacak olursa olsun \u03c0_say\u0131s\u0131n\u0131n ger\u00e7ek de\u011ferine asla ula\u015f\u0131lamayacak olaca\u011f\u0131n\u0131 bile bile \u03c0_say\u0131s\u0131n\u0131 kullanmakta \u0131srar edi\u015fimiz niyedir?<\/p>\n<p>Kulland\u0131\u011f\u0131m\u0131z kan\u0131s\u0131nda oldu\u011fumuz Say\u0131 Sistemi i\u00e7inde, karek\u00f6k i\u00e7inde iki, karek\u00f6k i\u00e7inde \u00fc\u00e7, k\u00fcpk\u00f6k i\u00e7inde be\u015f gibi ger\u00e7ek de\u011ferini bilmeksizin, ger\u00e7ek de\u011ferinin nas\u0131l bulunabilece\u011fini bilmeksizin ama eldeki (\u2018Quantum Computers\u2019 dahil) hangi ara\u00e7, gere\u00e7 ve teknoloji kullan\u0131lacak olursa olsun bu say\u0131lar\u0131n ger\u00e7ek de\u011ferine asla ula\u015f\u0131lamayacak olaca\u011f\u0131n\u0131 bile bile bu say\u0131lar\u0131 kullanmakta \u0131srar edi\u015fimiz niyedir?<\/p>\n<p>Trigonometride sin(0\u00b0)=1=cos(90\u00b0) ve sin(30\u00b0)= \u00bd =cos(60\u00b0) d\u0131\u015f\u0131nda hi\u00e7bir a\u00e7\u0131n\u0131n sin\u00fcs ve kosin\u00fcs de\u011ferini bilmeksizin, ger\u00e7ek de\u011ferinin nas\u0131l bulunabilece\u011fini bilmeksizin ama eldeki (\u2018Quantum Computers\u2019 dahil) hangi ara\u00e7, gere\u00e7 ve teknoloji kullan\u0131lacak olursa olsun bu say\u0131lar\u0131n ger\u00e7ek de\u011ferine asla ula\u015f\u0131lamayacak olaca\u011f\u0131n\u0131 bile bile Trigonometri kullanmakta \u0131srar edi\u015fimiz niyedir?<\/p>\n<p>Evrende nokta ve \u00e7izgi gibi, \u00e7ember, kare benzeri geometrik unsurlar yoktur, bar\u0131n_A_maz? Nereden belli? \u00c7\u00fcnk\u00fc bunlar \u00e7izilemez. \u00c7izilemeye\u015fin nedeni, bunlar\u0131n evrene ait olmay\u0131\u015f\u0131d\u0131r. Peki, o halde Geometri kullanmakta \u0131srar edi\u015fimiz niyedir?<\/p>\n<p>Fizik\u2019te en temel unsur \u00f6l\u00e7\u00fcmd\u00fcr. Ama, hem hep ayn\u0131 de\u011feri elde edebilece\u011fimiz \u00f6l\u00e7\u00fcm yapam\u0131yoruz hem de \u00f6l\u00e7\u00fcm yapmaya \u00e7al\u0131\u015ft\u0131\u011f\u0131m\u0131z s\u0131rada \u00f6l\u00e7\u00fcm\u00fcn nesnesini bozuyoruz; buna da Belirsizlik \u0130lkesi (&#8216;Uncertainty Principle&#8217;) diyoruz. Peki, o halde Fizik\u2019i de mi \u00e7\u00f6pe atal\u0131m?<\/p>\n<p>Evrende \u221e_enerji yok. Ama Fizik\u2019te bol bol kullan\u0131l\u0131yor. Peki, evrende mevcut olmayan \u221e_enerjiyi evrene ait Karacisim I\u015f\u0131mas\u0131 ve Is\u0131 S\u0131\u011fas\u0131 gibi niceliklerin hesab\u0131na ni\u00e7in sokuyoruz?<\/p>\n<p>Besbelli ki, Fizik de Matematik de sil ba\u015ftan kurulmaya muhta\u00e7. \u00d6rne\u011fin, acaba \u221e_enerji kullanmadan Is\u0131 S\u0131\u011fas\u0131 form\u00fcl\u00fcn\u00fc elde etmek m\u00fcmk\u00fcn m\u00fcd\u00fcr? Bu yakla\u015f\u0131mda Einstein\u2019\u0131n form\u00fcl\u00fcnden ve deneysel sonu\u00e7lardan ne denli farkl\u0131 teorik sonu\u00e7lar elde edilir acaba?<br \/>\nSon paragraftaki sorular\u0131n yan\u0131tlar\u0131n\u0131 bir sonraki ve SAYI, \u015eEK\u0130L, \u00d6L\u00c7\u00dcM \u2013h\u2013 \u201cRevising the Einstein Solid\u201d ba\u015fl\u0131kl\u0131 yaz\u0131da bulabilirsiniz.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fizik \u201311 \/ g\u2013 \u0130\u00e7erik: Ne yapt\u0131\u011f\u0131m\u0131z\u0131n fark\u0131nda olmak ya da ol_A_mamak! 0,999\u2026 = 1 ise, 1,999\u2026 =2 ve 2,999 = 3 ve 0,2 + 1,999\u2026 = 1,199\u2026 = 1,2 vs. olacak. Yani, her say\u0131 kendisinden ba\u015fka bir say\u0131ya daha e\u015fit olacak. B\u00f6ylesine sa\u00e7ma bir Say\u0131 Sistemi (\u2018Number Theory\u2019), Aritmetik, Cebir ve Matematik kullanmak sa\u00e7mal\u0131k [&hellip;]<\/p>\n","protected":false},"author":1425,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[1],"tags":[],"class_list":["post-416","post","type-post","status-publish","format-standard","hentry","category-genel"],"_links":{"self":[{"href":"https:\/\/blog.metu.edu.tr\/caglart\/wp-json\/wp\/v2\/posts\/416","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.metu.edu.tr\/caglart\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.metu.edu.tr\/caglart\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/caglart\/wp-json\/wp\/v2\/users\/1425"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/caglart\/wp-json\/wp\/v2\/comments?post=416"}],"version-history":[{"count":0,"href":"https:\/\/blog.metu.edu.tr\/caglart\/wp-json\/wp\/v2\/posts\/416\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.metu.edu.tr\/caglart\/wp-json\/wp\/v2\/media?parent=416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/caglart\/wp-json\/wp\/v2\/categories?post=416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.metu.edu.tr\/caglart\/wp-json\/wp\/v2\/tags?post=416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}