TL;DR
This paper examines the acausal behavior of solutions to the Salpeter equation, discussing its implications for quantum and macroscopic phenomena and clarifying the nature of causality in these contexts.
Contribution
It clarifies the apparent acausal behavior of solutions to the Salpeter equation and distinguishes between quantum and macroscopic interpretations.
Findings
Solutions suggest acausal propagation in quantum phenomena
Macroscopic solutions can be explained without acausality
Highlights differences in causality at different scales
Abstract
Acausal behavior of solutions to free Salpeter equation is considered . It is shown that the formal properties of solutions suggest the acausal propagation of quantum phenomena. On the other hand the same properties of solutions describing macroscopic phenomena can be explained without appealing to the notion of acausality.
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