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February 25, 2026Open Access

The Law of Geometric Sovereignty: A Single-Parameter Unified Field Theory of Mass and Force

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Authors

ADAdrian Dower

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Overview

A novel scalar field theory reveals discrete mass resonances and predicts dark matter.

Key Points

  • This research aims to formulate a unified field theory that explains mass and force through a single parameter and discrete scale invariance.
  • Developed a scalar field theory called the Law of Geometric Sovereignty (LGS).
  • Analyzed the vacuum as a recursive manifold governed by discrete scale invariance.
  • Introduced a log-periodic restorative potential related to the Golden Ratio.
  • Used a Python numerical solver for extracting oscillon energy plateaus.
  • Demonstrated that physical particle masses emerge as discrete oscillons within the vacuum field.
  • Reduced the mass spectrum of the Standard Model to a single dimensional empirical scale.
  • Reproduced masses of key particles (electron, proton, Higgs, Z-boson) within numerical uncertainty.
  • Predicted a stable state at Node 13 as a candidate for dark matter with an energy around 327.4 GeV.

Cite This Study

Adrian Dower (2026) studied this question.

synapsesocial.com/papers/699e91eaf5123be5ed04fb2fhttps://doi.org/10.5281/zenodo.18749448
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