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May 10, 20260 citationsOpen Access

The Lagrangian of the Universe Prior to Gravity: The Ouroboros System as a Candidate Law of Everything

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PWPaul Werbos

Key Points

  • This research aims to present the Ouroboros system as a viable classical Lagrangian theory prior to the influence of gravity. It seeks to establish a comprehensive framework for understanding fundamental particles and forces.
  • Proposed a classical Lagrangian field theory involving two coupled, Lorenz-constrained vector fields in flat Minkowski space.
  • Provided nine lines of evidence supporting the theory's ability to describe stable, localized particles and charge quantization without fine-tuning.
  • Used raw numerical methods to demonstrate the classical-quantum equivalence in the absence of traditional path integrals.
  • Demonstrated the existence of stable localized particles with positive energy and intrinsic angular momentum parameter closely matching the electron's g-factor.
  • Confirmed the recovery of electromagnetism in the linear limit of the theory.
  • Identified a candidate for dark matter in the form of a neutral chaoiton.

Abstract

We propose the Ouroboros system — a classical Lagrangian field theory of two coupled, Lorenz-constrained covariant vector fields over flat (3+1)-dimensional Minkowski space — as a candidate law of physics prior to gravity. The theory is bosonic, superrenormalizable by power counting, and free of point particles. Its elementary particles are chaoitons: stable, time-periodic, localized solutions that evade Derrick's theorem through oscillation rather than topology or a Higgs sector. We present nine lines of evidence that this single Lagrangian accounts for: stable localized particles with positive energy; charge quantization via a mutual Chern-Simons linking number (the mathematical form of the electron as two linked field loops); intrinsic angular momentum with L/Q ratio in the range of the electron's g-factor; electromagnetism exactly recovered in the linear limit; a long-range nuclear force of the type hypothesized by Julian Schwinger and confirmed by Sawada’s pion-pion and neutron-Pb scattering anomalies 5a,5b,5c; superrenormalizability without fine-tuning; and a natural dark matter candidate in the form of a neutral chaoiton. Quantization proceeds without path integrals via the classical-quantum equivalence proved in Werbos (2002, 2004) and implemented in Thermal Quantum Annealing (tQuA). We state clearly what is proved, what is numerically demonstrated, and what remains to be established, and we invite the community to test alternative Lagrangians against the same criteria using the open-source numerical benchmark accompanying this paper

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Cite This Study

Paul Werbos (2026) studied this question.

synapsesocial.com/papers/6a0021e6c8f74e3340f9ccf6https://doi.org/10.5281/zenodo.20077071
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