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March 18, 2026Foundations of Physics0 citationsOpen Access

Contextual Bohmian Quantum Field Theories: A Hylomorphic Approach to QFT

WSWilliam M. R. Simpson

Key Points

  • This work aims to develop a Contextual Bohmian Quantum Field Theory that incorporates both micro-level dynamics and macro-level contextual influences.
  • Introduced two versions of the Contextual Bohmian Quantum Field Theory (CBQFT).
  • CBQFT-1 uses a context-sensitive Hamiltonian with modified Bell-type jump rates.
  • CBQFT-2 treats context as a dynamic variable influencing particle configurations.
  • Developed a stochastic kernel guiding context transitions according to particle histories.
  • CBQFT integrates macroscopic contexts like detector configurations into quantum dynamics.
  • Establishes a feedback loop between quantum events and macroscopic structures.
  • Provides a framework for understanding measurement and decoherence in quantum systems.

Abstract

We propose an extension of Bell-type Bohmian quantum field theories, called Contextual Bohmian Quantum Field Theory (CBQFT), which integrates micro-level dynamics and macro-level contextual structure within a unified, ontologically explicit formalism. CBQFT introduces classical variables that encode macroscopic contexts—such as detector configurations, thermal phases, or symmetry-breaking sectors—and allows these to modulate the underlying quantum dynamics in a lawlike way. We develop two versions of the model. CBQFT-1 treats context as a fixed but dynamically influential background, entering via a context-sensitive Hamiltonian and modified Bell-type jump rates on a single Fock space. CBQFT-2 upgrades context to a dynamical variable co-evolving with the particle (or field) configuration: (x, t) selects a (typically inequivalent) representation of the field algebra on a Hilbert space, wavefunctions are realised as global sections of the resulting Hilbert bundle, and Bohmian trajectories are guided by globally well-defined velocity fields constructed from local currents. Context transitions in CBQFT-2 are governed by a stochastic kernel informed by particle (or field) configurations and histories. This yields a Bohmian QFT with an explicit feedback loop between quantum events and macroscopic structure, offering a hylomorphic account of measurement, decoherence, and top–down causation.

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Cite This Study

William M. R. Simpson (2026) studied this question.

synapsesocial.com/papers/69ba429c4e9516ffd37a300dhttps://doi.org/10.1007/s10701-026-00923-z
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