Channel: The Science Asylum

Category: Education

Tags: line landrelativityflat landgeneral relativityeinstein

Description: Measuring the curvature of a space takes parallel transport and the Riemann curvature tensor (General Relativity). Let's explore this using Flatland and Lineland, an old tool involving lower-dimensional spaces. Brilliant for 20% off: brilliant.org/ScienceAsylum ________________________________ VIDEO ANNOTATIONS/CARDS The Ultimate Guide to Relativity: youtu.be/FdWMM6aXpYE What the HECK is a Tensor?!? youtu.be/bpG3gqDM80w How Elastic is the Fabric of the Universe? youtu.be/DDwlDZidLSg ________________________________ RELATED YOUTUBE VIDEOS PBS Space Time on Space Curvature: youtu.be/D3GVVkPb3OI Flatland by Carl Sagan: youtu.be/N0WjV6MmCyM Flatland by "What The Bleep?" youtu.be/sEVEKL1Fbx0 ________________________________ SUPPORT THE SCIENCE ASYLUM Patreon: patreon.com/ScienceAsylum Advanced Theoretical Physics (Paperback): lulu.com/shop/nick-lucid/advanced-theoretical-physics-a-historical-perspective/paperback/product-24250687.html Advanced Theoretical Physics (eBook): gumroad.com/l/ubSc Merchandise: shop.spreadshirt.com/scienceasylum ________________________________ HUGE THANK YOU TO THESE PATRONS Warden of the Asylum: [Available] Asylum Counselors: Matthew O'Connor, Nikolaos Vasiloglou II Asylum Orderlies: William Morton, Fabio Manzini Einsteinium Crazies: Wacky, Eoin O'Sullivan, Ken Davis, LT Marshall, Ilya Yashin Plutonium Crazies: Al Davis, Compuart, Ellis Hall, Kevin MacLean, Randall Sylvia Platinum Crazies: Olga Cooperman, Kyle Bowles, Zein Kassim, Rick Dinning, Eugene Boone, Jon Adams, Mr. Orn Jonasar, Vittorio Monaco, Stephen Blinn, Mikayla Eckel Cifrese, Jonathan Reel ________________________________ OTHER SOURCES physics.ucc.ie/apeer/PY4112/Curvature.pdf web.stanford.edu/~oas/SI/SRGR/notes/SRGRLect8_2012.pdf asc.ohio-state.edu/mathur.16/grsolprob3.pdf physics.usu.edu/Wheeler/GenRel/Lectures/2Sphere.pdf preposterousuniverse.com/grnotes ________________________________ LINKS TO COMMENTS youtube.com/watch?v=DDwlDZidLSg&lc=UgxQxbcX2bKf48i60oR4AaABAg youtube.com/watch?v=DDwlDZidLSg&lc=UgxYGriPCFHfKBa37OF4AaABAg youtube.com/watch?v=DDwlDZidLSg&lc=UgyakYv7jNKAaujfrWd4AaABAg ________________________________ IMAGE CREDITS Earth by GOES-16: nesdis.noaa.gov/content/goes-16-color-composite-images