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August 19, 2026Open Access

Geometric Unification of Matter Structures via M¨obius Topological Fibers

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Authors

JLJ. L. Liu

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Overview

Theoretical modeling demonstrates geometric fiber resonance matching multiscale matter measurements, suggesting a topological framework for fundamental physical structures.

Key Points

  • To formulate and quantitatively evaluate a geometric framework based on Möbius topological fibers for describing matter structures across multiple physical scales.
  • Modeled stable matter configurations through the coherent resonance of Möbius fibers distributed on a reference plane with an intrinsic torsion angle of θ₀ = 90.4732°.
  • Performed analytic derivations and numerical calculations validated against five precision experimental measurements spanning hadronic, atomic, optical, and astrophysical systems.
  • Achieved sub-percent level or better agreement with precision experimental measurements across all four tested physical domains.
  • Provided unified descriptions of physical confinement, quantization, and chirality, while identifying operational limits in high-energy scattering and renormalization.

Cite This Study

J. L. Liu (2026) studied this question.

synapsesocial.com/papers/6a85634f03308d306e2d659ehttps://doi.org/10.5281/zenodo.21966284
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