Locality, Micro- vs. Macro-, Particle Interpretations and All That: A Lagrangian Approach to the Measurement Problem

• URL: http://arxiv.org/abs/2509.07206v1
• Date: Mon, 08 Sep 2025 20:39:24 GMT
• Title: Locality, Micro- vs. Macro-, Particle Interpretations and All That: A Lagrangian Approach to the Measurement Problem
• Abstract summary: In 2017, this author proposed, as a resolution of the Measurement Problem, that terms be added to Schrodinger's wavefunction equation, rendering it nonlinear.<n>Motivated by A. O. Barut's work on electrodynamics, here I analyze which kinds of nonlinear theories can be derived from Lagrangian field-theory.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In 2017, this author proposed, as a resolution of the Measurement Problem, that terms be added to Schrodinger's wavefunction equation, rendering it nonlinear. Said equation derived from a trick employed by S. Weinberg in 1989 which may be unfamiliar to most physicists, as well as uninterpretable in terms of local ("particle") interactions. Motivated by A. O. Barut's work on electrodynamics, here I analyze which kinds of nonlinear theories can be derived from Lagrangian field-theory by integrating out some fields. The issues of "What is a local interaction?" and "Might there be Micro- and Macro-fields?" arise. In the end, I will argue that my 2017 theory cannot be given a "particle" interpretation, nor be derived from a splitting into the two categories of fields.

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