A friendly tour of manifolds: how zooming in reveals flat space, how charts and transition maps stitch patches on curved spaces like the Earth, and how tangent spaces and metrics let us do calculus and physics on curved spacetime. From circles to spheres to general relativity, this episode unpacks one of math’s most powerful ideas. Brought to you by Embersilk (embersilk.com). Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information....
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A friendly tour of manifolds: how zooming in reveals flat space, how charts and transition maps stitch patches on curved spaces like the Earth, and how tangent spaces and metrics let us do calculus and physics on curved spacetime. From circles to spheres to general relativity, this episode unpacks one of math’s most powerful ideas. Brought to you by Embersilk (embersilk.com). Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information....
Dive into Einstein's cosmic speed limit. We'll unpack why the speed of light is invariant for all observers, why massive objects can never reach it, and how this bound protects the sequence of cause and effect in spacetime. Along the way we separate local motion from cosmic expansion, and explain why quantum entanglement can't be used for faster-than-light communication. A compact, logic-driven tour of the physics that makes reality possible. Note: This podcast was AI-generated, and sometime...
Intellectually Curious
A friendly tour of manifolds: how zooming in reveals flat space, how charts and transition maps stitch patches on curved spaces like the Earth, and how tangent spaces and metrics let us do calculus and physics on curved spacetime. From circles to spheres to general relativity, this episode unpacks one of math’s most powerful ideas. Brought to you by Embersilk (embersilk.com). Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information....