theorem 105.34 $CPT$

open in the book · parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2692 · p. 2141

Rests on

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 equation 38.1 eq:lor-beta-gamma ¶
      - depends_on theorem 38.4 Lorentz boost ¶
      - proves proof ch:02-lorentz-transformations@proof-2 ¶
- depends_on equation 39.3 eq:mink-noncompact ¶
  - step_from equation 39.2 eq:mink-lorentz-condition ¶
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 ¶

Supports

assumes experiment CP Violation ¶
- cites (data) derived bib 22 First Observation ofCPViolation in the Decays ofBs0Mesons ¶
- cites (data) derived bib 22 First Observation ofCPViolation in the Decays ofBs0Mesons ¶ ↺
- cites (evidence) derived bib 22 First Observation ofCPViolation in the Decays ofBs0Mesons ¶ ↺
- cites (evidence) derived bib 22 First Observation ofCPViolation in the Decays ofBs0Mesons ¶ ↺
- cites (evidence) derived bib 21 Observation of CP Violation in Charm Decays ¶
- cites (data) derived bib 21 Observation of CP Violation in Charm Decays ¶ ↺
- cites (evidence) derived bib 21 Observation of CP Violation in Charm Decays ¶ ↺
- cites (evidence) derived bib 9 Observation of LargeCPViolation in the NeutralBMeson System ¶
- cites (data) derived bib 9 Observation of LargeCPViolation in the NeutralBMeson System ¶ ↺
- cites (data) derived bib 9 Observation of LargeCPViolation in the NeutralBMeson System ¶ ↺
- cites (evidence) derived bib 9 Observation of LargeCPViolation in the NeutralBMeson System ¶ ↺
- cites (data) derived bib 8 Measurement of the Permanent Electric Dipole Moment of the Neutron ¶
- … 109 more
depends_on phenomenon 111.9 Charge asymmetry in semileptonic kaon decay ¶
depends_on proposition 105.40 Greenberg ¶
depends_on theorem 105.38 Equal total lifetimes ¶
- assumes experiment CP Violation ¶ ↺
- depends_on proposition 105.39 A direct $CP$ asymmetry needs two amplitudes and two kinds of phase ¶
  - depends_on phenomenon 111.15 CP violation in charm decay ¶
  - depends_on phenomenon 111.11 Direct CP violation in kaon decay ¶
depends_on theorem 105.36 Equal masses ¶
- assumes experiment CP Violation ¶ ↺
- depends_on phenomenon 111.17 The universe is made of matter ¶
depends_on theorem 105.41 Sakharov's conditions ¶
- 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
`cites`	→	Time reversal in field theory	derived	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2709
`cites`	→	Eine Bemerkung zum CTP-Theorem	derived	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2709
`cites`	→	Proof of the TCP theorem	derived	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2709
`cites`	→	On the equivalence of invariance under time reversal and under particle-antiparticle conjugation for relativistic field theories	derived	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2709
`cites`	→	Exclusion principle, Lorentz group and reflection of space-time and charge	derived	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2709
`depends_on`	→	Orthochronous Lorentz group	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2710
`depends_on`	→	eq:qed-action	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2710
`depends_on`	→	Every Lorentz index costs a sign	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2710
`assumes`	←	CP Violation	declared	parts/11-qft-standard-model/13-exp-cp-violation.tex:4
`depends_on`	←	Charge asymmetry in semileptonic kaon decay	declared	parts/11-qft-standard-model/13-exp-cp-violation.tex:958
`depends_on`	←	Greenberg	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:3120
`depends_on`	←	Equal total lifetimes	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2948
`depends_on`	←	Equal masses	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2870
`depends_on`	←	Sakharov's conditions	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:3263
`proves`	←	ch:07-discrete-symmetries-cpt@proof-27	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2760