phenomenon 115.44 A large-scale dipole above $8\times10^{18}$ electronvolts

open in the book · parts/11-qft-standard-model/17-cosmic-rays-astroparticle.tex:2876 · p. 2524

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

depends_on definition 11.80 Chi-squared ¶
depends_on theorem 11.46 Central limit theorem, Lindeberg–Lévy ¶
- depends_on lemma 11.44 Second-order expansion ¶
  - depends_on definition 11.42 Characteristic function ¶
  - proves proof ch:09-probability-statistics@proof-16 ¶
- depends_on proposition 11.43 Elementary properties ¶
  - depends_on definition 11.42 Characteristic function ¶ ↺
  - proves proof ch:09-probability-statistics@proof-15 ¶
- depends_on theorem 11.45 Lévy's continuity theorem ¶
  - depends_on definition 11.42 Characteristic function ¶ ↺
  - proves proof ch:09-probability-statistics@prooflink-1 ¶
- proves proof ch:09-probability-statistics@proof-17 ¶
proves proof ch:17-cosmic-rays-astroparticle@proof-33 ¶

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type	direction	node	provenance	where
`cites`	→	Observation of a large-scale anisotropy in the arrival directions of cosmic rays above 8 $\times$ 10 18 eV	derived	parts/11-qft-standard-model/17-cosmic-rays-astroparticle.tex:2881
`depends_on`	→	Chi-squared	declared	parts/11-qft-standard-model/17-cosmic-rays-astroparticle.tex:2885
`depends_on`	→	Central limit theorem, Lindeberg–Lévy	declared	parts/11-qft-standard-model/17-cosmic-rays-astroparticle.tex:2885
`proves`	←	ch:17-cosmic-rays-astroparticle@proof-33	declared	parts/11-qft-standard-model/17-cosmic-rays-astroparticle.tex:2888