翻訳と辞書 Words near each other ・ Pensato ・ Pensaukee (community), Wisconsin ・ Pensaukee, Wisconsin ・ Pensavo fosse amore, invece era un calesse ・ Pensax ・ Pensby ・ Pensby High School for Boys ・ Pensby High School for Girls ・ Penscynor Wildlife Park ・ Pense ・ Pense, Saskatchewan ・ Pensekhmet ・ Penselwood ・ Penser Joch ・ Penrose criterion ・ Penrose diagram ・ Penrose drain ・ Penrose Gold Medal ・ Penrose graphical notation ・ Penrose Hill ・ Penrose Historic District ・ Penrose Hospital ・ Penrose interpretation ・ Penrose Island Marine Provincial Park ・ Penrose method ・ Penrose Methodist Chapel ・ Penrose Peak ・ Penrose Peak (Montana) ・ Penrose Peak (Wyoming) ・ Penrose Pegasus Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Penrose diagram ： ウィキペディア英語版 Penrose diagram In theoretical physics, a Penrose diagram (named for mathematical physicist Roger Penrose) is a two-dimensional diagram that captures the causal relations between different points in spacetime. It is an extension of a Minkowski diagram where the vertical dimension represents time, and the horizontal dimension represents space, and slanted lines at an angle of 45° correspond to light rays. The biggest difference is that locally, the metric on a Penrose diagram is conformally equivalent to the actual metric in spacetime. The conformal factor is chosen such that the entire infinite spacetime is transformed into a Penrose diagram of finite size. For spherically symmetric spacetimes, every point in the diagram corresponds to a 2-sphere. ==Basic properties== While Penrose diagrams share the same basic coordinate vector system of other space-time diagrams for local asymptotically flat spacetime, it introduces a system of representing distant spacetime by shrinking or "crunching" distances that are further away. Straight lines of constant time and space coordinates therefore become hyperbolas, which appear to converge at points in the corners of the diagram. These points represent "conformal infinity" for space and time. Penrose diagrams are more properly (but less frequently) called Penrose–Carter diagrams (or Carter–Penrose diagrams), acknowledging both Brandon Carter and Roger Penrose, who were the first researchers to employ them. They are also called conformal diagrams, or simply spacetime diagrams. Two lines drawn at 45° angles should intersect in the diagram only if the corresponding two light rays intersect in the actual spacetime. So, a Penrose diagram can be used as a concise illustration of spacetime regions that are accessible to observation. The diagonal boundary lines of a Penrose diagram correspond to the "infinity" or to singularities where light rays must end. Thus, Penrose diagrams are also useful in the study of asymptotic properties of spacetimes and singularities. An infinite static Minkowski universe, coordinates $(x,\; t)$ is related to Penrose coordinates $(u,\; v)$ by: :$\backslash tan(u\; \backslash pm\; v)\; =\; x\; \backslash pm\; t$ The corners of the Penrose diamond, which represent the spacelike and timelike conformal infinities, are $\backslash pi\; /2$ from the origin. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Penrose diagram」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.