phenomenon 38.13 Time dilation

open in the book · parts/04-special-relativity/02-lorentz-transformations.tex:517 · p. 1213

Rests on

depends_on definition 38.12 Proper time ¶
- depends_on definition 38.6 Minkowski metric and interval ¶
  - depends_on proposition 38.5 The invariant interval ¶
    - depends_on equation 38.1 eq:lor-beta-gamma ¶
    - depends_on theorem 38.4 Lorentz boost ¶
      - depends_on notation 38.3 Standard configuration ¶
      - depends_on postulate 38.2 Invariance of the speed of light ¶
      - depends_on postulate 38.1 Principle of relativity ¶
      - proves proof ch:02-lorentz-transformations@proof-1 ¶
    - proves proof ch:02-lorentz-transformations@proof-2 ¶
- depends_on proposition 38.5 The invariant interval ¶ ↺
depends_on equation 38.3 eq:lor-boost-t ¶
depends_on theorem 38.4 Lorentz boost ¶ ↺
proves proof ch:02-lorentz-transformations@proof-5 ¶

Supports

depends_on phenomenon 53.3 Gravitational shift of gamma rays over a tower ¶
- tests experiment Pound, Rebka and Snider: redshift in a tower ¶
  - cites (evidence) derived bib Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole ¶
  - cites (evidence) derived bib Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole ¶ ↺
  - cites (evidence) derived bib 7897 Resolving the gravitational redshift across a millimetre-scale atomic sample ¶
  - cites (evidence) derived bib 7897 Resolving the gravitational redshift across a millimetre-scale atomic sample ¶ ↺
  - cites (evidence) derived bib 5999 Optical Clocks and Relativity ¶
  - cites (evidence) derived bib 5999 Optical Clocks and Relativity ¶ ↺
  - cites (method) derived bib Kernresonanzfluoreszenz von Gammastrahlung in Ir$^{191}$ ¶
  - cites (method) derived bib Kernresonanzfluoreszenz von Gammastrahlung in Ir$^{191}$ ¶ ↺
  - cites (method) derived bib 7 Apparent Weight of Photons ¶
  - cites (evidence) derived bib 7 Apparent Weight of Photons ¶ ↺
  - cites (method) derived bib 3B Effect of Gravity on Gamma Radiation ¶
  - cites (evidence) derived bib 3B Effect of Gravity on Gamma Radiation ¶ ↺
  - … 2 more
depends_on phenomenon 42.9 The relativistic clock budget of satellite navigation ¶
depends_on phenomenon 50.3 Relativistic redshift and precession of a stellar orbit ¶
depends_on remark 38.14 The effect is reciprocal, and that is consistent ¶
tests experiment Frisch and Smith: Mount Washington to sea level ¶
- cites (evidence) derived bib 5 Measurement of the Relativistic Time Dilation Using $\mu$-Mesons ¶
tests experiment Hafele and Keating: caesium clocks flown around the world ¶
- cites (history) derived bib 4044 Around-the-World Atomic Clocks: Predicted Relativistic Time Gains ¶
- cites (history) derived bib 4044 Around-the-World Atomic Clocks: Predicted Relativistic Time Gains ¶ ↺
- cites (evidence) derived bib 4044 Around-the-World Atomic Clocks: Observed Relativistic Time Gains ¶
- cites (evidence) derived bib 4044 Around-the-World Atomic Clocks: Observed Relativistic Time Gains ¶ ↺
tests experiment Ives and Stilwell: the moving atomic clock ¶
- cites (evidence) derived bib 7 An Experimental Study of the Rate of a Moving Atomic Clock ¶
tests experiment Rossi and Hall: muon survival with altitude ¶
- cites (evidence) derived bib 3 Variation of the Rate of Decay of Mesotrons with Momentum ¶

Neighborhood

Every logical edge within two steps of this node.

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partly declared
a check failed
not graded
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inferred from structure

Edges

type	direction	node	provenance	where
`cites`	→	An Experimental Study of the Rate of a Moving Atomic Clock	derived	parts/04-special-relativity/02-lorentz-transformations.tex:523
`cites`	→	Variation of the Rate of Decay of Mesotrons with Momentum	derived	parts/04-special-relativity/02-lorentz-transformations.tex:523
`depends_on`	→	Proper time	declared	parts/04-special-relativity/02-lorentz-transformations.tex:524
`depends_on`	→	eq:lor-boost-t	declared	parts/04-special-relativity/02-lorentz-transformations.tex:524
`depends_on`	→	Lorentz boost	declared	parts/04-special-relativity/02-lorentz-transformations.tex:524
`depends_on`	←	Gravitational shift of gamma rays over a tower	declared	parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:506
`depends_on`	←	The relativistic clock budget of satellite navigation	declared	parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:923
`depends_on`	←	Relativistic redshift and precession of a stellar orbit	declared	parts/05-general-relativity-cosmology/09-exp-black-holes.tex:582
`depends_on`	←	The effect is reciprocal, and that is consistent	declared	parts/04-special-relativity/02-lorentz-transformations.tex:563
`proves`	←	ch:02-lorentz-transformations@proof-5	declared	parts/04-special-relativity/02-lorentz-transformations.tex:527
`tests`	←	Frisch and Smith: Mount Washington to sea level	declared	parts/04-special-relativity/05-exp-time-dilation.tex:181
`tests`	←	Hafele and Keating: caesium clocks flown around the world	declared	parts/04-special-relativity/05-exp-time-dilation.tex:290
`tests`	←	Ives and Stilwell: the moving atomic clock	declared	parts/04-special-relativity/05-exp-time-dilation.tex:21
`tests`	←	Rossi and Hall: muon survival with altitude	declared	parts/04-special-relativity/05-exp-time-dilation.tex:118