Editing CPT symmetry (section)

==Consequences and implications==
The implication of CPT symmetry is that a "mirror-image" of our universe — with all objects having their positions reflected through an arbitrary point (corresponding to a [[parity (physics)|parity]] inversion), all [[momentum|momenta]] reversed (corresponding to a [[T-symmetry|time inversion]]) and with all [[matter]] replaced by [[antimatter]] (corresponding to a [[electric charge|charge]] inversion) — would evolve under exactly our physical laws. The CPT transformation turns our universe into its "mirror image" and vice versa.<ref>[https://www.livescience.com/mirror-universe-explains-dark-matter Our universe may have a twin that runs backward in time] Paul Sutter, Live Science. March 16th, 2022</ref> CPT symmetry is recognized to be a fundamental property of physical laws.

In order to preserve this symmetry, every violation of the combined symmetry of two of its components (such as CP) must have a corresponding violation in the third component (such as T); in fact, mathematically, these are the same thing. Thus violations in T-symmetry are often referred to as [[CP violation]]s.

The CPT theorem can be generalized to take into account [[pin group]]s.

In 2002 [[Oscar Greenberg]] proved that, with reasonable assumptions, CPT violation implies the breaking of [[Lorentz symmetry]].<ref name="Greenberg">
{{cite journal
 |last=Greenberg |first=O. W.
 |year=2002
 |title=CPT Violation Implies Violation of Lorentz Invariance
 |journal=[[Physical Review Letters]]
 |volume=89 |issue= 23|pages=231602
 |arxiv=hep-ph/0201258
 |bibcode=2002PhRvL..89w1602G
 |doi=10.1103/PhysRevLett.89.231602
 |pmid=12484997
|s2cid=9409237
 }}</ref>

CPT violations would be expected by some [[string theory]] models, as well as by some other models that lie outside point-particle quantum field theory. Some proposed violations of Lorentz invariance, such as a [[compact dimension]] of cosmological size, could also lead to CPT violation. Non-unitary theories, such as proposals where black holes violate unitarity, could also violate CPT. As a technical point, fields with infinite spin could violate CPT symmetry.<ref>{{cite journal |last1=Lehnert |first1=Ralf |title=CPT Symmetry and Its Violation |journal=Symmetry |date=November 2016 |volume=8 |issue=11 |pages=114 |doi=10.3390/sym8110114 |bibcode=2016Symm....8..114L |language=en |issn=2073-8994|doi-access=free }}</ref>

The overwhelming majority of [[Modern searches for Lorentz violation|experimental searches for Lorentz violation]] have yielded negative results. A detailed tabulation of these results was given in 2011 by Kostelecky and Russell.<ref name="DataTables">
{{cite journal
 |last1=Kostelecký |first1=V. A.
 |last2=Russell |first2=N.
 |title=Data tables for Lorentz and ''CPT'' violation
 |year=2011
 |journal=[[Reviews of Modern Physics]]
 |volume=83 |issue=1 |pages=11–31
 |arxiv=0801.0287
 |bibcode=2011RvMP...83...11K
 |doi=10.1103/RevModPhys.83.11
 |s2cid=3236027
 }}</ref>