Spacetime | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-08

This is an audio version of the Wikipedia Article:
Spacetime


00:02:44 1 Introduction
00:02:53 1.1 Definitions
00:07:54 1.2 History
00:16:34 2 Spacetime in special relativity
00:16:45 2.1 Spacetime interval
00:26:21 2.2 Reference frames
00:27:21 2.3 Light cone
00:27:49 2.4 Relativity of simultaneity
00:28:05 2.5 Invariant hyperbola
00:29:01 2.6 Time dilation and length contraction
00:29:19 2.7 Mutual time dilation and the twin paradox
00:29:38 2.7.1 Mutual time dilation
00:29:45 2.7.2 Twin paradox
00:30:19 2.8 Gravitation
00:32:38 3 Basic mathematics of spacetime
00:33:19 3.1 Galilean transformations
00:34:29 3.2 Relativistic composition of velocities
00:35:48 3.3 Time dilation and length contraction revisited
00:38:39 3.4 Lorentz transformations
00:40:44 3.4.1 Deriving the Lorentz transformations
00:41:27 3.4.2 Linearity of the Lorentz transformations
00:41:38 3.5 Doppler effect
00:44:38 3.5.1 Longitudinal Doppler effect
00:49:41 3.5.2 Transverse Doppler effect
00:50:30 3.6 Energy and momentum
00:50:40 3.6.1 Extending momentum to four dimensions
00:51:40 3.6.2 Momentum of light
00:53:11 3.6.3 Mass-energy relationship
00:53:23 3.6.4 Four-momentum
00:53:34 3.7 Conservation laws
00:54:17 3.7.1 Total momentum
00:54:55 3.7.2 Choice of reference frames
00:55:11 3.7.3 Energy and momentum conservation
00:55:53 4 Beyond the basics
00:56:10 4.1 Rapidity
00:56:20 4.2 4‑vectors
00:57:35 4.2.1 Definition of 4-vectors
00:57:47 4.2.2 Properties of 4-vectors
00:59:10 4.2.3 Examples of 4-vectors
00:59:28 4.2.4 4-vectors and physical law
01:01:26 4.3 Acceleration
01:01:50 4.3.1 Dewan–Beran–Bell spaceship paradox
01:02:36 4.3.2 Accelerated observer with horizon
01:06:27 5 Introduction to curved spacetime
01:06:53 5.1 Basic propositions
01:07:33 5.2 Curvature of time
01:09:14 5.3 Curvature of space
01:09:30 5.4 Sources of spacetime curvature
01:09:50 5.4.1 Energy-momentum
01:10:06 5.4.2 Pressure and stress
01:11:17 5.4.3 Experimental verification
01:12:24 5.4.3.1 • Active, passive, and inertial mass
01:13:00 5.4.3.2 • Pressure as a gravitational source
01:13:07 5.4.3.3 • Gravitomagnetism
01:13:16 6 Technical topics
01:13:43 6.1 Is spacetime really curved?
01:15:46 6.2 Riemannian geometry
01:16:30 6.3 Curved manifolds
01:19:18 6.4 Privileged character of 3+1 spacetime
01:19:26 7 See also
01:20:39 8 Notes
01:21:10 9 Additional details
01:21:51 10 References
01:22:35 11 Further reading
01:22:51 12 External links
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SUMMARY
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In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum. Spacetime diagrams can be used to visualize relativistic effects such as why different observers perceive where and when events occur.
Until the turn of the 20th century, the assumption had been that the three-dimensional geometry of the universe (its spatial expression in terms of coordinates, distances, and directions) was independent of one-dimensional time. However, in 1905, A ...