计算机科学家惊人发现：如何将空间压缩进时间里 | Chalk Talk
视频信息 标题: 计算机科学家惊人发现：如何将空间压缩进时间里 | Chalk Talk BV号: BV1zTG76yEMn 时长: 23分25秒（1405秒） 作者/来源: 地层世界 原始链接: B站视频 转录方式: API 转录优先；本地模型仅作为 API 用尽/不可用时的备用。 视频摘要 本文整理 B 站视频“计算机科学家惊人发现：如何将空间压缩进时间里 | Chalk Talk”的完整中英双语转录。英文原文在前，中文译文在后，逐段对照，便于跟读、检索和复习。 核心要点 完整转录：保留视频主体内容，按自然语义分段。 中英对照：英文视频提供英文原文与中文译文逐段对应。 可检索阅读：正文已整理为博客格式，方便后续引用和查找。 以下为英文原文与中文译文逐段对照。 点击展开完整转录（23分25秒完整版，中英双语） 视频全文转录（中英双语） 以下为完整中英双语转录，已加标点。英文在前，中文在后，逐段对照。 由 Groq Whisper 转录 → M2.7 B 方案整文标点 + 分段 → M2.7 段号保留翻译 → 逐段对照。 [段 1] Just a few months ago, a scientist showed a pretty astounding relationship between space and time, an earthquake of a result. But it’s not about this kind of space and time. Instead, it’s about the space and time of computation, like how long does it take to compute something, and how much memory does it use. Computational time gets a lot of attention. Like one of the most famous unsolved problems in computer science, P versus NP, is about distinguishing certain types of problems which can or cannot be solved quickly. But the next chapter is all about space, which is full of its own fascinating and fundamental questions. Recently, computer scientist Ryan Williams made an unexpected discovery that forced him to rethink the rules of computational space and time. So much so that he described it as disturbing. He found a way to trade in space for time in any program, like a lot of space. Some programs seem like they shouldn’t be able to give up any space. They’re using all of it. But he proved that it’s possible. It’s the first breakthrough of its kind in 50 years, and it’s pretty unbelievable. Unbelievable in a literal sense. many computer scientists, including Williams himself, didn’t believe it was true until he proved it.Here’s one obvious but very important difference between space and time. Space is reusable, whereas time is not. ...