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....
APM 08279+5255: The Lensed Quasar, a Monster Black Hole, and the Universe’s Water Reservoir
Intellectually Curious
6 minutes
1 day ago
APM 08279+5255: The Lensed Quasar, a Monster Black Hole, and the Universe’s Water Reservoir
We dive into APM 08279+5255, a gravitationally lensed quasar from the universe’s youth. Learn how a foreground galaxy magnifies its light by about four times (not the initial 40–90x) thanks to Hubble imaging that revealed three distinct images. Meet a supermassive black hole of roughly 10–23 billion solar masses tucked in a massive, infrared-luminous galaxy, seen almost face-on. And hear about the universe’s largest single mass of water detected so far—about 100 trillion times Earth’s oceans—...
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....
