Abstract
In this study, dual unitary matrices SU D(2) were obtained. We correspond to one to one elements of the unit dual sphere S D 3 with the dual unitary matrices SU D(2). Thus, we express spherical concepts such as meridians of longitude and parallels of latitude on SU D(2). The equality SO( R 3) ≅ S 3/{±1} = RP 3 known as the real projective spaces was generalized to the dual projective space and then, the equality SO ( D 3 ) ≅ S D 3 / { ± 1 } = DP 3 was acquired. In particular, 2-sphere S 2 was obtained by considering dual parts as zero of S D 3 . Hence, it was found that Hop fibriation map of S 2 can be used for Twistors in quantum mechanics applications.
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