Abstract
While revisiting the Klein–Gordon relativistic quantum equation for spin-0 particles, we predicted that ℏ reverses its sign for negative energies, and formulated a universal symmetry rule, whereby all the parameters that couple particles to external fields reverse their sign along with ℏ at a particle ↔ antiparticle transformation; this in particular implies anti-gravitation between matter and antimatter. Our results suggest that the ℏ-conjugation principle and related invariance may replace CPT-invariance in general relativistic quantum mechanics.
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