TL;DR
This paper demonstrates that relativistic Bohmian mechanics for bosonic particles can be reformulated as a classical geometric theory in curved space-time, extending to electromagnetic interactions.
Contribution
It introduces a dual classical geometric formulation of quantum mechanics for bosonic particles, bridging quantum and classical descriptions.
Findings
Quantum equations are equivalent to a classical conformal geometry in space-time.
The geometric formulation is extended to include electromagnetic interactions.
Quantum behavior can be represented through classical geometric structures.
Abstract
It is shown that the equations of relativistic Bohmian mechanics for multiple bosonic particles have a dual description in terms of a classical theory of conformally "curved" space-time. This shows that it is possible to formulate quantum mechanics as a purely classical geometrical theory. The results are further generalized to interactions with an external electromagnetic field.
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