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ImportantConcepts01 - frame-invariant and frame-dependent...

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Physics 136 Caltech Kip Thorne 7 October 2002 Important Concepts Chapter 1 I Frameworks for physical laws and their relationships to each other A General Relativity, Special Relativity and Newtonian Physics: Sec. 1.1 II Physics as Geometry A Newtonian: coordinate invariance of physical laws 1 Idea Introduced: Sec. 1.2 2 Newtonian particle kinetics as an example: Sec. 1.4 B Special relativistic: frame-invariance of physical laws 1 Idea introduced: Sec. 1.2 2 Relativistic particle kinetics: Sec. 1.4 1 Stress-energy tensor: Sec. 1.12 4 Electromagnetic theory: Sec. 1.10 1 Lorentz force law: Sec. 1.4 III 3+1 Splits of spacetime into space plus time, and resulting relationship between
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Unformatted text preview: frame-invariant and frame-dependent laws of physics A Particle kinetics: Sec. 1.6 B Electromagnetic theory: Sec. 1.10 C Continuum mechanics; stress-energy tensor: Sec. 1.12 IV Spacetime diagrams A Introduced: Sec. 1.7 B Simultaneity breakdown, Lorentz contraction, time dilation: Exercise 1.11 C The nature of time; twins paradox, time travel: Sec. 1.8 D Global conservation of 4-momentum: Secs. 1.4 & 1.12 V Tensor analysis A Without a coordinate system, abstract notation: Secs. 1.3 and 1.9 B Index manipulations in Euclidean 3-space and in spacetime 1 Tools introduced; slot-naming index notation: Sec's 1.5, 1.7 &1.9 2 Used to derive standard 3-vector identities: Exercise 1.15...
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