equation 38.3 eq:lor-boost-t
open in the book ·
parts/04-special-relativity/02-lorentz-transformations.tex:77
- part of a statement or proof
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
-
depends_on
phenomenon 38.10
Relativity of simultaneity
¶
-
depends_on
definition 38.15
Proper length
¶
- depends_on phenomenon 38.16 Length contraction ¶
- depends_on remark 38.14 The effect is reciprocal, and that is consistent ¶
-
depends_on
definition 38.15
Proper length
¶
-
depends_on
phenomenon 38.13
Time dilation
¶
-
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
-
tests
experiment
Pound, Rebka and Snider: redshift in a
tower
¶
- 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 ¶
-
depends_on
phenomenon 53.3
Gravitational shift of gamma rays over a tower
¶
-
depends_on
phenomenon 38.18
Relativistic composition of velocities
¶
-
tests
experiment
Fizeau: light dragged by moving water
¶
- cites (context) derived bib 10 Zur Elektrodynamik bewegter Körper ¶
- cites (evidence) derived bib 13 Sur les hypothèses relatives à l'éther lumineux, et sur une expérience qui paraît démontrer que le mouvement des corps change la vitesse avec laquelle la lumière se propage dans leur intérieur ¶
-
tests
experiment
Fizeau: light dragged by moving water
¶
- depends_on proposition 38.9 Causal order is absolute ¶
- step_from equation 38.10 eq:lor-boost-matrix-1d ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Relativity of simultaneity | declared | parts/04-special-relativity/02-lorentz-transformations.tex:453 |
depends_on |
← | Time dilation | declared | parts/04-special-relativity/02-lorentz-transformations.tex:524 |
depends_on |
← | Relativistic composition of velocities | declared | parts/04-special-relativity/02-lorentz-transformations.tex:648 |
depends_on |
← | Causal order is absolute | declared | parts/04-special-relativity/02-lorentz-transformations.tex:295 |
step_from |
← | eq:lor-boost-matrix-1d | declared — collecting the three coordinate relations into one matrix | parts/04-special-relativity/02-lorentz-transformations.tex:184 |