The cosmological CPT theorem
National Taiwan University · University of Cambridge · +1 more institution
Abstract
The CPT theorem states that a unitary and Lorentz-invariant theory must also be invariant under a discrete symmetry CRT which reverses charge, time, and one spatial direction. In this article, we study a \mathbb{Z}_2 × \mathbb{Z}_2 ℤ 2 × ℤ 2 symmetry group, in which two of the non-trivial symmetries (“Reflection Reality” and a 180 degree rotation) are implied by Unitarity and Lorentz Invariance respectively, while the third is CRT. (In cosmology, Scale Invariance plays the role of Lorentz Invariance.) This naturally leads to converses of the CPT theorem, as any two of the discrete \mathbb{Z}_2 ℤ 2 symmetries will imply the third one. Furthermore, in many field theories, the Reflection Reality…
Citation impact
- FWCI
- 95.95
- Percentile
- 100%
- References
- 0
Authors
3Topics & keywords
- Mathematics
- Theoretical physics
- Physics
- Mathematical physics
- Mathematical economics
Funding
- NSNational Science FoundationAwards: PHY-2309135, 2207584, 2309135, PHY-2207584
- MOMinistry of EducationAward: NTU-112L4000-1
- HFHeising-Simons Foundation
- CTCambridge Trust
- MOMinistry of Education, India
- INIsaac Newton Trust
- NTNational Taiwan UniversityAward: 112L4000-1
- SAScience and Technology Facilities CouncilAwards: ST/X000664/1, P000681/1, ST/P000681/1
- KIKavli Institute for Theoretical Physics, University of California, Santa BarbaraAwards: PHY-2309135, 2309135
- AFAir Force Office of Scientific ResearchAwards: FA9550-, FA9550-19-1-0260, FA9550