theorem 105.41 Sakharov's conditions
open in the book ·
parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:3252
· p. 2148
Rests on
- depends_on equation 105.34 eq:cpt-VA ¶
-
depends_on
theorem 105.34
$CPT$
¶
-
depends_on
definition 39.5
Orthochronous Lorentz group
¶
-
depends_on
definition 39.1
Lorentz group
¶
-
depends_on
definition 38.6
Minkowski metric and interval
¶
- depends_on proposition 38.5 The invariant interval ¶
-
depends_on
definition 38.6
Minkowski metric and interval
¶
-
depends_on
equation 39.3
eq:mink-noncompact
¶
- step_from equation 39.2 eq:mink-lorentz-condition ¶
-
depends_on
definition 39.1
Lorentz group
¶
- depends_on equation 100.2 eq:qed-action ¶
-
depends_on
lemma 105.35
Every Lorentz index costs a sign
¶
- depends_on equation 105.17 eq:cpt-C-photon ¶
- depends_on equation 105.6 eq:cpt-P-photon ¶
- depends_on equation 105.30 eq:cpt-T-photon ¶
- proves proof ch:07-discrete-symmetries-cpt@proof-26 ¶
- proves proof ch:07-discrete-symmetries-cpt@proof-27 ¶
-
depends_on
definition 39.5
Orthochronous Lorentz group
¶
- proves proof ch:07-discrete-symmetries-cpt@proof-32 ¶
Supports
- depends_on phenomenon 111.17 The universe is made of matter ¶
- depends_on phenomenon 103.44 The universe contains matter and almost no antimatter ¶
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 |
→ | eq:cpt-VA | declared | parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:3263 |
depends_on |
→ | $CPT$ | declared | parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:3263 |
depends_on |
← | The universe is made of matter | declared | parts/11-qft-standard-model/13-exp-cp-violation.tex:2012 |
depends_on |
← | The universe contains matter and almost no antimatter | declared | parts/11-qft-standard-model/05-flavour-neutrinos.tex:2069 |
proves |
← | ch:07-discrete-symmetries-cpt@proof-32 | declared | parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:3266 |