theorem 105.36 Equal masses

open in the book · parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2868 · p. 2144

Rests on

depends_on definition 105.33 The $CPT$ operator ¶
depends_on equation 105.26 eq:cpt-antiunitary-sandwich ¶
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 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 ¶
proves proof ch:07-discrete-symmetries-cpt@proof-28 ¶

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 111.17 The universe is made of matter ¶

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`	→	The $CPT$ operator	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2870
`depends_on`	→	eq:cpt-antiunitary-sandwich	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2870
`depends_on`	→	$CPT$	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2870
`assumes`	←	CP Violation	declared	parts/11-qft-standard-model/13-exp-cp-violation.tex:4
`depends_on`	←	The universe is made of matter	declared	parts/11-qft-standard-model/13-exp-cp-violation.tex:2012
`proves`	←	ch:07-discrete-symmetries-cpt@proof-28	declared	parts/11-qft-standard-model/07-discrete-symmetries-cpt.tex:2873