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August 8, 2026FoundationsOpen Access

Reconstruction of Quantum Field Equations from Multi-Branch Hamilton–Jacobi Structures

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Authors

CBCécile Barbachoux

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Overview

Framework reconstructs quantum field equations in a controlled setting, suggesting new insights into quantum dynamics.

Key Points

  • The aim is to reconstruct quantum field equations from a multi-branch Hamilton–Jacobi structure using density functionals.
  • Developed a framework using multi-branch Hamilton–Jacobi structures
  • Included density functionals on configuration space
  • Validated through finite-dimensional regularizations and continuum limit
  • Demonstrated exact reconstruction of free and interacting scalar quantum field equations
  • Highlighted structural reinterpretation of quantum theory including classical dynamics and quantum phenomena
  • Outlined extensions to fermionic and gauge fields with emphasis on graded structures and constraints

Cite This Study

Cécile Barbachoux (2026) studied this question.

synapsesocial.com/papers/6a76daaaf12abadc798151dchttps://doi.org/10.3390/foundations6030030
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