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The octonionic phase space Hopf map (2509.05073v1)
Published 5 Sep 2025 in hep-th
Abstract: The octonionic Hopf map, expressing $S{15}$ as an $S7$ bundle over $S8$, appears in the twistor transform in 10 dimensions, $S8$ playing the r^ole of the celestial sphere. A symplectic lift to twistor space manifests $Spin(2,10)$ symmetry. The 25-dimensional spinor orbit of $Spin(2,10)$ is an $S7$ bundle over the phase space of a massless particle.
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