The Meaning of the Metric Tensor

In the follow-up to our prior video, Demystifying the Metric Tensor, we continue to explore the physical and conceptual intuition behind the complex mathematical object known as The Metric Tensor, whose crucial role in the General Relativity, requisite to understanding the theory, tends to be easily obscured by abstract ideas and mathematics.

Support us on Patreon!   / dialect_philosophy  

Contents:

00:00 - Introduction
00:54 - Spacetime Cartography
02:30 - Maps / Coordinate Systems
04:00 - Bar Scales / Metrics
06:03 - Spacetime Distance
07:30 - Topological Transformations
08:39 - The 2D Metric
13:58 - The 3D Metric
18:39 - Conclusion