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....
We dive into WASP-18b, an ultra-hot Jupiter with a mass around ten Jupiters that orbits its star in roughly 1.9 days and skims about 0.02 AU. Its fate is to spiral into its star in under a million years. We unpack why the planet is so extreme—tidal decay, dayside temperatures near 3,000 K, and the atmospheric puzzles JWST helped reveal—including two distinct thermal regions and the fate of its water vapor. Then we explore what this means for tidal physics, planetary atmospheres, and our broad...
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....
