Non-Euclidean GEOMETRY and the END OF THE UNIVERSE
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One day, the universe will end. But when and how it will happen depends on its curvature. And this paves the way for non-Euclidean geometry! This type of geometry is behind Einstein's Theory of General Relativity. In it, gravity is not a force, but rather a deformation of space-time. In this video, we will talk about what curvature really means, and see how the geometry of the universe determines its fate. Will it all end in a Big Crunch, a Big Chill, or a Big Rip? And what role do dark energy and the cosmological constant play in this? #euclideangeometry #endoftheuniverse #darkenergy #cosmology #relativity Recommended reading The End of All Things: (According to Astrophysics) - by Katie Mack https://amzn.to/3KbpRT3 affiliate links: when you buy, a small percentage is donated to the channel with no price increase for you Become a member and help me continue producing this type of content: https://www.youtube.com/temciencia/join ================================================= Script, presentation and editing: Daniel Nunes My Instagram: / tem.ciencia ================================================= WATCH ALSO: ???? What is NON-EUCLIDEAN GEOMETRY? - History of Geometry • What is NON-EUCLIDEAN GEOMETRY? - H... ???? THE PROBLEM with the size of the OBSERVABLE UNIVERSE • The PROBLEM with the size of the UNIVERSE ... ???? Why is the SOLAR SYSTEM FLAT? Star Formation • Why is the SOLAR SYSTEM FLAT? Fo... ???? WHY is the SKY DARK at night? (Olbers PARADOX) • Why should the NIGHT be CLEAR? (P... ???? WHAT is TIME? • WHAT is TIME? (Theory of Relativity... ================================================ VIDEO CHAPTERS 00:00 Introduction 00:39 The 4-dimensional space-time 02:12 What is curvature? 03:56 Gaussian curvature 04:55 Gauss's Egregious Theorem 05:29 Plane, elliptical and hyperbolic geometry 06:30 Curvature in General Relativity: Gravity 07:40 Relativity and the evolution of the universe. The Cosmological Constant 09:06 Hubble and the expanding universe 10:01 Gravity X Expansion of the universe 11:21 Perlmutter, Schmidt and Riess: Supernovae and the Nobel Prize in 2011 13:15 The cosmological constant and dark energy 14:53 Curvature of the universe. Critical density 15:23 Flat universe. Big Chill 16:45 Elliptical universe. Big Crunch 19:16 Hyperbolic universe 19:53 Current data: what is the shape of the universe? 20:22 Phantom energy. Big Rip 21:04 What is the fate of the universe?
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