phenomenon 52.4 The Sun has shone for billions of years

open in the book · parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:143 · p. 1388

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

Rests on

depends_on theorem 52.2 Virial theorem for a self-gravitating sphere ¶
- depends_on equation 52.2 eq:stellar-hydrostatic ¶
- depends_on proposition 52.1 Hydrostatic equilibrium of a self-gravitating sphere ¶
  - depends_on proposition 31.16 Hydrostatic balance ¶
    - depends_on definition 31.1 Fluid ¶
      - depends_on theorem 30.18 Cauchy: the stress tensor exists ¶
    - depends_on theorem 30.21 Cauchy's equation of motion ¶
      - depends_on theorem 7.133 Gauss ¶
      - depends_on theorem 30.18 Cauchy: the stress tensor exists ¶ ↺
      - proves proof ch:13-continuum-elasticity@proof-9 ¶
    - proves proof ch:14-fluid-dynamics@proof-7 ¶
  - proves proof ch:11-stellar-structure-nucleosynthesis@proof-1 ¶
- proves proof ch:11-stellar-structure-nucleosynthesis@proof-2 ¶
proves proof ch:11-stellar-structure-nucleosynthesis@proof-3 ¶

Supports

depends_on phenomenon 52.23 The Sun's energy budget audited reaction by reaction ¶

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
`cites`	→	The Internal Constitution of the Stars	derived	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:152
`cites`	→	The Internal Constitution of the Stars	derived	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:152
`depends_on`	→	Virial theorem for a self-gravitating sphere	declared	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:153
`depends_on`	←	The Sun's energy budget audited reaction by reaction	declared	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:1792
`proves`	←	ch:11-stellar-structure-nucleosynthesis@proof-3	declared	parts/05-general-relativity-cosmology/11-stellar-structure-nucleosynthesis.tex:156