Consequences and Implications
A consequence of this derivation is that a violation of CPT automatically indicates a Lorentz violation.
The implication of CPT symmetry is that a "mirror-image" of our universe — with all objects having their positions reflected by an imaginary plane (corresponding to a parity inversion), all momenta reversed (corresponding to a time inversion) and with all matter replaced by antimatter (corresponding to a charge inversion)— would evolve under exactly our physical laws. The CPT transformation turns our universe into its "mirror image" and vice versa. 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 violations.
The CPT theorem can be generalized to take into account pin groups.
Read more about this topic: CPT Symmetry
Famous quotes containing the words consequences and/or implications:
“Resistance is feasible even for those who are not heroes by nature, and it is an obligation, I believe, for those who fear the consequences and detest the reality of the attempt to impose American hegemony.”
—Noam Chomsky (b. 1928)
“Philosophical questions are not by their nature insoluble. They are, indeed, radically different from scientific questions, because they concern the implications and other interrelations of ideas, not the order of physical events; their answers are interpretations instead of factual reports, and their function is to increase not our knowledge of nature, but our understanding of what we know.”
—Susanne K. Langer (1895–1985)