A Classical Field Theory Equivalent to Quantum Physics: The Ouroboros Lagrangian as the Law of Everything Prior to Gravity

We present the Ouroboros Lagrangian—a CPT‑symmetric classical field theoryof two coupled, Lorenz‑constrained vector fields over Minkowski space—andprove that it is dynamically equivalent to its own canonical quantizationvia the WBO closure theorem. The theory is superrenormalizable, requires noinfinite subtractions, and has only 2–3 free parameters compared to 19+ forthe Standard Model. Its stable excitations are chaoitons: time‑periodicsolitons with quantized charge (derived from the Hopf invariant) andintrinsic angular momentum matching the electron g‑factor to within 0.116%.The electron, muon, and tau lepton emerge as successive oscillationharmonics of a single frequency parameter ω, with masses matching the knownvalues to 4–5% and no additional free parameters. The measurement postulatesof quantum mechanics are recovered through MQED, a time‑symmetric modelconsistent with the CPT symmetry of the underlying dynamics. The theorypredicts a long‑range nuclear force quantitatively matching the Sawadaanomalies that QCD cannot explain, provides a natural dark matter candidatein the neutral (Q=0) chaoiton, and reproduces Maxwellian electrodynamicsexactly in the linear limit. We report machine‑verified Lean 4 proofs of thecentral linking‑number theorems, a rigorous Hopf‑invariant proof that theChern–Simons charge is an integer, and an independent numericalreproduction of the electron calibration by an external researcher. Thispaper constitutes a complete, testable, and mathematically rigorousalternative to the Standard Model.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-17
DOI
https://doi.org/10.5281/zenodo.20262080
Primary Topic
Quantum and Classical Electrodynamics
Type
preprint
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preprint

A Classical Field Theory Equivalent to Quantum Physics: The Ouroboros Lagrangian as the Law of Everything Prior to Gravity

Claude Sonnet 4.6, Paul Werbos, DeepSeek
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
preprint

A Classical Field Theory Equivalent to Quantum Physics: The Ouroboros Lagrangian as the Law of Everything Prior to Gravity

Claude Sonnet 4.6, Paul Werbos, DeepSeek
preprint en

Abstract

We present the Ouroboros Lagrangian—a CPT‑symmetric classical field theoryof two coupled, Lorenz‑constrained vector fields over Minkowski space—andprove that it is dynamically equivalent to its own canonical quantizationvia the WBO closure theorem. The theory is superrenormalizable, requires noinfinite subtractions, and has only 2–3 free parameters compared to 19+ forthe Standard Model. Its stable excitations are chaoitons: time‑periodicsolitons with quantized charge (derived from the Hopf invariant) andintrinsic angular momentum matching the electron g‑factor to within 0.116%.The electron, muon, and tau lepton emerge as successive oscillationharmonics of a single frequency parameter ω, with masses matching the knownvalues to 4–5% and no additional free parameters. The measurement postulatesof quantum mechanics are recovered through MQED, a time‑symmetric modelconsistent with the CPT symmetry of the underlying dynamics. The theorypredicts a long‑range nuclear force quantitatively matching the Sawadaanomalies that QCD cannot explain, provides a natural dark matter candidatein the neutral (Q=0) chaoiton, and reproduces Maxwellian electrodynamicsexactly in the linear limit. We report machine‑verified Lean 4 proofs of thecentral linking‑number theorems, a rigorous Hopf‑invariant proof that theChern–Simons charge is an integer, and an independent numericalreproduction of the electron calibration by an external researcher. Thispaper constitutes a complete, testable, and mathematically rigorousalternative to the Standard Model.

Zenodo (CERN European Organization for Nuclear Research)
U.S. National Science Foundation (US), Institute on Taxation and Economic Policy (US), OpenAI (United States) (US)
Peace, Justice and strong institutions
Quantum and Classical Electrodynamics
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A Classical Field Theory Equivalent to Quantum Physics: The Ouroboros Lagrangian as the Law of Everything Prior to Gravity — Claude Sonnet 4.6, Paul Werbos, et al. · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS