The Triadic Substrate Invariant A Structural Consequence of the Three‑Quark Union

This submission identifies a structural invariant present across all known physical, chemical, biological, and informational systems: three independent degrees of freedom, each with three polarity states. The work argues that this triadic invariant is not a mathematical convention or a modeling choice, but a direct consequence of the three-quark union, the first stable composite in the universe. Because baryons consist of three oscillatory modes with ternary polarity states, all emergent systems inherit the same structural constraints. This invariant manifests as the familiar xyz coordinate axes, the + 0 – polarity states, the three components of angular momentum, the three color charges of QCD, the three chemical valence states, and the triadic regulatory structures observed in biological and cognitive systems. The purpose of this submission is not to present a complete theory, but to formally disclose the invariant so that the scientific community may evaluate, challenge, or refine it.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-18
DOI
https://doi.org/10.5281/zenodo.20750207
Primary Topic
Origins and Evolution of Life
Type
preprint
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The Triadic Substrate Invariant A Structural Consequence of the Three‑Quark Union

James Reeves
Zenodo (CERN European Organization for Nuclear Research)
Origins and Evolution of Life
preprint

The Triadic Substrate Invariant A Structural Consequence of the Three‑Quark Union

James Reeves
preprint en

Abstract

This submission identifies a structural invariant present across all known physical, chemical, biological, and informational systems: three independent degrees of freedom, each with three polarity states. The work argues that this triadic invariant is not a mathematical convention or a modeling choice, but a direct consequence of the three-quark union, the first stable composite in the universe. Because baryons consist of three oscillatory modes with ternary polarity states, all emergent systems inherit the same structural constraints. This invariant manifests as the familiar xyz coordinate axes, the + 0 – polarity states, the three components of angular momentum, the three color charges of QCD, the three chemical valence states, and the triadic regulatory structures observed in biological and cognitive systems. The purpose of this submission is not to present a complete theory, but to formally disclose the invariant so that the scientific community may evaluate, challenge, or refine it.

Zenodo (CERN European Organization for Nuclear Research)
Cambridge Cognition (United Kingdom) (GB)
Peace, Justice and strong institutions
Origins and Evolution of Life
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The Triadic Substrate Invariant A Structural Consequence of the Three‑Quark Union — James Reeves · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS