equation 40.4 eq:rdyn-E-p
open in the book ·
parts/04-special-relativity/04-relativistic-dynamics.tex:86
- part of a statement or proof
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
- depends_on corollary 40.10 Nothing massive reaches $c$ ¶
-
depends_on
phenomenon 40.6
Mass–energy equivalence
¶
-
depends_on
definition 44.15
Dust
¶
-
depends_on
definition 44.16
Perfect fluid
¶
- depends_on proposition 44.37 Energy conditions for the perfect fluid ¶
-
depends_on
proposition 44.20
Perfect-fluid equations of motion
¶
- depends_on corollary 44.21 Dust flows on geodesics ¶
-
depends_on
theorem 49.9
Tolman–Oppenheimer–Volkoff equations
¶
- depends_on example 49.11 The uniform-density star ¶
- depends_on phenomenon 49.19 Neutron stars reach two solar masses ¶
-
depends_on
theorem 44.27
Newtonian correspondence of the field equations
¶
- depends_on corollary 44.35 The field equations are essentially unique ¶
- depends_on phenomenon 49.6 A maximum mass for a cold degenerate star ¶
- depends_on phenomenon 49.16 Pulsars: clocks at nuclear density ¶
- depends_on phenomenon 49.14 A neutron star is observed being born ¶
- depends_on proposition 44.29 Linearized field equations ¶
-
depends_on
definition 44.16
Perfect fluid
¶
- depends_on example 40.8 Nuclear binding as a mass deficit ¶
-
tests
experiment
Cockcroft and Walton: lithium split by
accelerated protons
¶
- cites (data) derived bib 3261 Disintegration of Lithium by Swift Protons ¶
- cites (evidence) derived bib 3261 Disintegration of Lithium by Swift Protons ¶ ↺
- cites (method) derived bib 830 Experiments with high velocity positive ions.---(I) Further developments in the method of obtaining high velocity positive ions ¶
- cites (data) derived bib 831 Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons ¶
- cites (data) derived bib 831 Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons ¶ ↺
- cites (evidence) derived bib 831 Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons ¶ ↺
- cites (context) derived bib 3-4 Zur Quantentheorie des Atomkernes ¶
- cites (context) derived bib 3-4 Zur Quantentheorie des Atomkernes ¶ ↺
- cites (context) derived bib 3073 Wave Mechanics and Radioactive Disintegration ¶
- cites (context) derived bib 3073 Wave Mechanics and Radioactive Disintegration ¶ ↺
- cites (context) derived bib 2 Quantum Mechanics and Radioactive Disintegration ¶
- cites (context) derived bib 2 Quantum Mechanics and Radioactive Disintegration ¶ ↺
- … 1 more
-
depends_on
definition 44.15
Dust
¶
- depends_on proposition 113.8 The dipole field the ring demands ¶
-
step_from
equation 40.9
eq:rdyn-force-decomposed
¶
- depends_on remark 40.7 There is no ``relativistic mass'' in this treatise ¶
-
tests
experiment
Bertozzi: the speed limit
¶
- cites (evidence) derived bib 7 Speed and Kinetic Energy of Relativistic Electrons ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
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- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Nothing massive reaches $c$ | declared | parts/04-special-relativity/04-relativistic-dynamics.tex:208 |
depends_on |
← | Mass–energy equivalence | declared | parts/04-special-relativity/04-relativistic-dynamics.tex:116 |
depends_on |
← | The dipole field the ring demands | declared | parts/11-qft-standard-model/15-exp-higgs-discovery.tex:559 |
step_from |
← | eq:rdyn-force-decomposed | declared — differentiating $\vect{p}=\gamma_{u}m\vect{u}$ with respect to coordinate time, with $\gamma_{u}$ carried along | parts/04-special-relativity/04-relativistic-dynamics.tex:194 |
tests |
← | Bertozzi: the speed limit | declared | parts/04-special-relativity/05-exp-time-dilation.tex:333 |