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- The Planck length, an intro to space-time\n"},{"text":"1:23"},{"text":" - Descartes and Newton investigate space and time\n"},{"text":"2:04"},{"text":" - Einstein's special relativity\n"},{"text":"2:32"},{"text":" - The geometry of space-time and the manifold\n"},{"text":"3:16"},{"text":" - Einstein's general relativity: space-time in four dimensions\n"},{"text":"3:35"},{"text":" - The mathematical curvature of space-time \n"},{"text":"4:57"},{"text":" - Einstein's field equation\n"},{"text":"6:04"},{"text":" - Singularities: where general relativity fails\n"},{"text":"6:50"},{"text":" - Quantum mechanics (amplitudes, entanglement, Schrödinger equation)\n"},{"text":"8:32"},{"text":" - The problem of quantum gravity\n"},{"text":"9:38"},{"text":" - Applying quantum mechanics to our manifold\n"},{"text":"10:36"},{"text":" - Why particle accelerators can't test quantum gravity\n"},{"text":"11:28"},{"text":" - Is there something deeper than space-time?\n"},{"text":"11:45"},{"text":" - Hawking and Bekenstein discover black holes have entropy\n"},{"text":"13:54"},{"text":" - The holographic principle \n"},{"text":"14:49"},{"text":" - AdS/CFT duality\n"},{"text":"16:06"},{"text":" - Space-time may emerge from entanglement\n"},{"text":"17:44"},{"text":" - The path to quantum gravity\n\n--------\n- VISIT our website: 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quantanews \n- FOLLOW us Twitter: / quantamagazine \n\nQuanta Magazine is an editorially independent publication supported by the Simons Foundation: 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