equation 40.12 eq:rdyn-invariant-mass
open in the book ·
parts/04-special-relativity/04-relativistic-dynamics.tex:261
- part of a statement or proof
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Supports
-
depends_on
phenomenon 115.40
Intergalactic space is opaque to the
highest-energy protons
¶
- depends_on phenomenon 115.42 Suppression at the highest energies ¶
- depends_on proposition 115.52 The natural beam exceeds the collider by a factor of thirty ¶
- step_from equation 40.13 eq:rdyn-threshold ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Intergalactic space is opaque to the highest-energy protons | declared | parts/11-qft-standard-model/17-cosmic-rays-astroparticle.tex:2646 |
depends_on |
← | The natural beam exceeds the collider by a factor of thirty | declared | parts/11-qft-standard-model/17-cosmic-rays-astroparticle.tex:3466 |
step_from |
← | eq:rdyn-threshold | declared — setting $M=4m_{p}$ at threshold and solving the laboratory invariant for $E$ | parts/04-special-relativity/04-relativistic-dynamics.tex:293 |