[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-24434-105":59,"doc-detail-24434-en":114},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":106,"head_meta":109,"extra_data":111,"updated_unix":113},105,"en","math-cracks-a-knuckle-cracking-mystery","Math Cracks a Knuckle-Cracking Mystery","","Vinny Suja, a student at the French Polytechnic School, embarked on a biomechanics class project to investigate the physics of knuckle cracking. Initially, scientists believed the sound resulted from popping bubbles in the knuckle fluid. However, a 2015 study using MRI visualization showed that bubbles persisted after cracking, challenging this hypothesis. The rapid nature of the phenomenon, occurring too quickly for current imaging technology to capture in real-time, necessitated a new approach. Suja and his colleague Abdul Barakat utilized mathematical models to demonstrate that the partial collapse of bubbles could generate cracking sounds of a similar magnitude, potentially explaining the 2015 findings. Their research, published in Scientific Reports, suggests that the precise mechanism of knuckle cracking is still a subject of ongoing scientific inquiry, requiring further modeling of bubble behavior before a definitive conclusion can be reached.",{"@graph":69,"@context":105},[70,84],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/math-cracks-a-knuckle-cracking-mystery/24434/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/math-cracks-a-knuckle-cracking-mystery/24434.png","ImageObject",300,407,{"name":92,"@type":93},"Himbo","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-09-19","2026-05-07",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction","https://schema.org",{"og:url":107,"og:type":108,"og:title":65,"og:site_name":95,"og:description":67},"https://docshare.wps.com/document/math-cracks-a-knuckle-cracking-mystery/24434","article",{"robots":110,"canonical":107},"index,follow",{"doc_id":112,"site_id":62},24434,1778188813,{"code":4,"msg":5,"data":115},{"doc_id":112,"user_id":116,"nickname":92,"user_avatar":117,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":66,"file_id":118,"file_url":119,"file_type":120,"file_size":121,"view_count":14,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"language":122,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":66,"faqs":66,"seo_title":123,"seo_description":67,"update_tm":113,"read_time":81},687197100911,"https://ap-avatar.wpscdn.com/avatar/a000239b6f1da00475?x-image-process=image/resize,m_fixed,w_180,h_180&k=1785132997149421697","cbCairMgNvovcRUv","https://ap.wps.com/l/cbCairMgNvovcRUv","pdf",326942,"English","Math Cracks a Knuckle-Cracking Mystery | PDF"]