Apparent violation of causality in relativistic quantum mechanics

• URL: http://arxiv.org/abs/2404.09205v2
• Date: Thu, 18 Apr 2024 11:04:57 GMT
• Title: Apparent violation of causality in relativistic quantum mechanics
• Authors: Iwo Bialynicki-Birula, Zofia Bialynicka-Birula,
• Abstract summary: In relativistic theories the principle of microscopic causality states that information cannot travel faster than the speed of light'' We consider here the wave functions of massless and massive particles.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In relativistic theories the principle of microscopic causality states that ``information cannot travel faster than the speed of light'' \cite{kaku}. In the present work we show that the time evolution of relativistic wave functions violates this principle. We consider here the wave functions of massless and massive particles. In the case of massless particles the wave functions which violate the microscopic causality have an analytic form while in the case of massive particles we have to rely on numerical calculations. In both cases the wave functions which are strictly localized at $t=0$, at later times do not vanish {\it outside} the future light cone. \end{abstract}

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