- 1、本文档共19页,可阅读全部内容。
- 2、有哪些信誉好的足球投注网站(book118)网站文档一经付费(服务费),不意味着购买了该文档的版权,仅供个人/单位学习、研究之用,不得用于商业用途,未经授权,严禁复制、发行、汇编、翻译或者网络传播等,侵权必究。
- 3、本站所有内容均由合作方或网友上传,本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺!文档内容仅供研究参考,付费前请自行鉴别。如您付费,意味着您自己接受本站规则且自行承担风险,本站不退款、不进行额外附加服务;查看《如何避免下载的几个坑》。如果您已付费下载过本站文档,您可以点击 这里二次下载。
- 4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等,请点击“版权申诉”(推荐),也可以打举报电话:400-050-0827(电话支持时间:9:00-18:30)。
查看更多
Kaluza-Klein Theory - fritopiainfo:卡鲁扎-克莱因理论fritopiainfo
* * * * * * * * Hyperspace*: Physics as Geometry Fritz Reitz, Ph.D. (it’s not in physics, as will become obvious shortly) 5/18/09 *a la Michio Kakus sensionalization of the invocation of unseen dimensions (e.g. isospin space) in physics (hey Fritz, don’t forget to run vi’s ahead of time) Talk outline: examples of recasting phenomena as rotations in new spaces application to gauges visualizing the “internal spaces” of the gauge theories familiar example: special relativity recasts/simplifies motion add time direction to space with new concept of 4-velocity, dr/d? =?(?c, ?vx, ?vy, ?vz), |dr/d?| = c for everything if someones clock seems slow, its because theyve steered away (via boost) from your time direction, just as one goes north slower in an airplane pointed NNE adding a dimension has cast motion in a different light, and simplified things unfamiliar example: Kaluza-Klein Theory in ~1919, Kaluza (and others, long story) looked at Christoffel symbols Γαβγ used in general relativity, thought wow, F?? and Γαβγ look similar! hmm, F?? would need another index to match up properly, or Γαβγ one less why, that would only happen if there was another spatial dimension (? goes from 0 to 4), that was connected less intimately (?g??/?x? = 0) Brief aside:Christoffel symbols, “Γαβγ” directional derivative in Euclidean coordinates: directional derivative in Polar coordinates: Christoffel symbols account for the extra part of the derivative due to changing coordinates (e.g. d? scales with r, dr changes direction with ?) handy when spacetime itself is curved, hence its use in GR What Kaluza did: Kaluza added the vector potential along the sides of the metric tensor essentially like so - figure after Kaku, “Hyperspace” Then, when you calculate Christoffels involving extra dimension, Γ5?? ? F?? ? and charge is velocity in this extra direction (BONUS!) short version is charge x velocity is a current density which is the derivative of F ? Ricci curvature ? flat space
您可能关注的文档
- java火柴游戏课程设计报告.docx
- Java版贪食蛇游戏毕业设计论文.docx
- Java编程思想第十一章持有对象之预备内容.ppt
- Java编译程序技术与Java性能_英文_.doc
- JewelCAD电脑首饰设计课程的教学改革.docx
- JIS试験项目及び试験方法.doc
- JK触发器说课稿.ppt
- Job description and person specification – .doc
- Joint Application Development:联合应用开发.ppt
- jsp投票系统.docx
- 《中国通史》文字稿第12集春秋争霸.docx
- java教程--类与对象-讲义课件(演讲稿).ppt
- Vue应用程序开发-(1).pptx
- 东北师大版社劳动实践与评价指导手册一年级上册主题二活动一寻找五彩的树叶课时课件.pptx
- 外研版英语四年级上册 Module 4 Unit 2 How much is it单元教学设计.docx
- 外研版英语四年级上册Module 4 单元整体教学设计.docx
- 6《上课之前》课件 鄂科技版 心理健康教育一年级.pptx
- 《1~5的认识》说课课件(共25张PPT)人教版一年级上册数学.pptx
- 六《解决问题(1)》说课课件 人教版 三年级上册数学.pptx
- 七《解决问题》说课课件 人教版 二年级上册数学.pptx
文档评论(0)