True wavefunctions and antiparticles of Klein-Gordon equation: $\hbar$-conjugation, elimination of $CPT$-invariance, and anti-gravitation

A. E. Kaplan

doi:10.1088/1402-4896/aad89a

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arXiv · 1809.02051

True wavefunctions and antiparticles of Klein-Gordon equation: $\hbar$-conjugation, elimination of $CPT$-invariance, and anti-gravitation

A. E. Kaplan

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Abstract

While revisiting Klein-Gordon relativistic quantum equation for spin-0 particles, we predicted that $\hbar$ 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 $\hbar$ at a particle$\leftrightarrow$antiparticle transformation; this in particular implies anti-gravitation between matter and antimatter. Our results suggest that the $\hbar$-conjugation principle and related invariance may replace $CPT$-invariance in general relativistic quantum mechanics.

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A. E. Kaplan. 2018-09-02. True wavefunctions and antiparticles of Klein-Gordon equation: $\hbar$-conjugation, elimination of $CPT$-invariance, and anti-gravitation. https://doi.org/10.1088/1402-4896%2Faad89a

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