International Journal of Theoretical Physics

, Volume 45, Issue 6, pp 1166–1180

Relational Interpretation of the Wave Function and a Possible Way Around Bell’s Theorem

Authors

  • Thomas Filk
    • Institute for Theoretical PhysicsUniversität Freiburg
    • Parmenides Foundation
    • Institute for Frontier Areas in Psychology and Mental Health
Article

DOI: 10.1007/s10773-006-9125-0

Cite this article as:
Filk, T. Int J Theor Phys (2006) 45: 1166. doi:10.1007/s10773-006-9125-0

Abstract

The famous “spooky action at a distance” in the EPR-scenario is shown to be a local interaction, once entanglement is interpreted as a kind of “nearest neighbor” relation among quantum systems. Furthermore, the wave function itself is interpreted as encoding the “nearest neighbor” relations between a quantum system and spatial points. This interpretation becomes natural, if we view space and distance in terms of relations among spatial points. Therefore, “position” becomes a purely relational concept. This relational picture leads to a new perspective onto the quantum mechanical formalism, where many of the “weird” aspects, like the particle-wave duality, the non-locality of entanglement, or the “mystery” of the double-slit experiment, disappear. Furthermore, this picture circumvents the restrictions set by Bell’s inequalities, i.e., a possible (realistic) hidden variable theory based on these concepts can be local and at the same time reproduce the results of quantum mechanics.

Key Words

relational spacerelational interpretation of the wave functionlocalityBell’s theorem
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© Springer Science + Business Media, Inc. 2006