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This exploration delves into the intricacies of CPT symmetry in cosmology, focusing on the existence of massless left-handed neutrinos while right-handed ones are absent. Through analysis, we assess how left-handed neutrinos and anti-neutrinos manifest under charge, parity, and time symmetries. The study highlights that while right-handed neutrinos traveling in opposite directions do not exist, left-handed neutrinos maintain preservation of time symmetry. This investigation offers insights into fundamental particles and their roles in the universe, with implications for our understanding of the cosmos.
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CPT symmetry – an example using n (massless) left-handed neutrinos exist, while right handed ones don’t left-handed neutrino CPT L # - L # spin - spin right-handed anti-neutrino does exist CPT preserved Charge L # - L # left-handed anti-neutrino does not exist C violated Parity spin spin vel. - vel. right-handed neutrino going in the opposite dir. does not exist P violated Time spin - spin vel. - vel. left-handed neutrino going in the opposite dir. does exist T preserved Charge-Parity L # - L # spin spin vel. - vel. right-handed anti-neutrino going In the opposite dir. does exist CP preserved