Uploaded June 2025 | Updated September 2026, 2 weeks ago
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One of my (probably) more controversial uploads: this video covers common pitfalls with the typical depiction of spacetime curvature in General Relativity, a depiction which I myself have used previously. While this typical depiction is good for an initial understanding of spacetime curvature, there's some things that get missed, and it is those things that this video aims to discuss.
Some things to note:
-- A couple of the people mentioned in this video do acknowledge (at a surface level) the caveats behind this depiction. For instance, the high school Physics teacher mentions that the marbles (planets) don't collapse into the Sun in actual space, which is one of the criticisms I raise about his analogy.
-- The classic depiction of spacetime curvature does have its uses, especially for the layperson and beginner trying to understand GR. I'm not discounting that!
-- 'Weight' is probably a more accurate term to describe the central object in that trampoline video than 'ball': my mistake!
-- The comment about String Theorists and extra dimensions is meant to be facetious: to any String theorists watching, don't come at me with your 'dimension compatification' and 'Calabi-Yau manifolds'!
Questions/requests? Let me know in the comments!
Pre-requisites: Previous videos in this playlist: youtube.com/playlist?list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_
Special thanks to my Patrons:
Patapom
Eugene Bulkin
Andy Johnston
Patrick Gibson
Joseph Dubeau
David Johnston
#Spacetime #spacetimecurvature #embeddingdiagram
This video was sponsored by Brilliant.
To try everything Brilliant has to offer—free—for a full 30 days, visit brilliant.org/FacultyofKhan/. You’ll also get 20% off an annual premium subscription.
One of my (probably) more controversial uploads: this video covers common pitfalls with the typical depiction of spacetime curvature in General Relativity, a depiction which I myself have used previously. While this typical depiction is good for an initial understanding of spacetime curvature, there's some things that get missed, and it is those things that this video aims to discuss.
Some things to note:
-- A couple of the people mentioned in this video do acknowledge (at a surface level) the caveats behind this depiction. For instance, the high school Physics teacher mentions that the marbles (planets) don't collapse into the Sun in actual space, which is one of the criticisms I raise about his analogy.
-- The classic depiction of spacetime curvature does have its uses, especially for the layperson and beginner trying to understand GR. I'm not discounting that!
-- 'Weight' is probably a more accurate term to describe the central object in that trampoline video than 'ball': my mistake!
-- The comment about String Theorists and extra dimensions is meant to be facetious: to any String theorists watching, don't come at me with your 'dimension compatification' and 'Calabi-Yau manifolds'!
Questions/requests? Let me know in the comments!
Pre-requisites: Previous videos in this playlist: youtube.com/playlist?list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_
Special thanks to my Patrons:
Patapom
Eugene Bulkin
Andy Johnston
Patrick Gibson
Joseph Dubeau
David Johnston
#Spacetime #spacetimecurvature #embeddingdiagram
This video was sponsored by Brilliant.
