Скачать с ютуб Demystifying The Metric Tensor in General Relativity в хорошем качестве

Demystifying The Metric Tensor in General Relativity

The path to understanding General Relativity starts at the Metric Tensor. But this mathematical tool is so deeply entrenched in esoteric symbolism and complex mathematics that its simplistic, intuitive purpose often goes neglected. Here we attempt to expose the basic principles behind the Metric Tensor -- and investigate how they tie into General Relativity -- in as simplistic a manner as possible. Do we succeed? Feel free to let us know in the comments! Support us on Patreon!   / dialect_philosophy   Contents: 00:00 - Intro 00:54 - The Equations of General Relativity 01:33 - The Metric as a Bar Scale 02:45 - Reading Topography on a Map 04:53 - Coordinate Distance vs. Real World Distance 05:35 - Components of the Metric Tensor 08:50 - Mapping the Earth 09:48 - Stretching and Skewing / Law of Cosines 11:37 - Geometrical Interpretation of the Metric Tensor 12:37 - Coordinate Systems vs. Manifolds 13:39 - Conclusions