"No Where to go but in" is a well known statement of Osho. Osho meant to say that the answers to all our questions should be obtained by looking into ourselves. In a paraphrase to Osho's statement we say "No Where to go but high". This meant to demonstrate that for various seemingly unrelated topics and questions the only way to get significant progress is via the prism of a new philosophy (new field) called high dimensional expansion. In this note we give an introduction \footnote{This introduction reflects the authors' interests and by no mean claim to represent the field in a through way} to the high dimensional expansion philosophy, and how it has been useful recently in obtaining progress in various questions in seemingly unrelated fields. This exposition is dedicated to the memory of my mother, Sarah Kaufman, who was always trying to understand the reason why things behave in a certain way. It is also dedicated to the memory of my father Eliezer Kaufman.
翻译:“无路可走,唯有向内”是奥修(Osho)的一句名言。奥修意指,我们所有问题的答案都应通过内省来获得。借用奥修的表述,我们提出“无路可走,唯向高处”。这旨在说明,对于诸多看似无关的主题和问题,取得重大进展的唯一途径是借助一种名为高维扩张(high dimensional expansion)的新哲学(新领域)的视角。本文旨在对高维扩张哲学进行介绍\footnote{本介绍反映了作者的兴趣,绝无声称以全面方式代表该领域},并阐述其近期如何在看似无关领域的一系列问题中推动研究进展。本文献给我的母亲莎拉·考夫曼(Sarah Kaufman),她始终试图理解事物以特定方式运行的原因;同时也献给我的父亲埃利泽·考夫曼(Eliezer Kaufman)。