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June 23, 20260 citationsOpen Access

Nonmetricity Obstruction to Nieh–Yan Identifiability

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HSHiroyuki Shioiri

Key Points

  • The central aim is to classify the nonmetricity obstruction affecting nieh–yan identifiability in metric-affine geometry.
  • Derivation of the rank-20 hook pairing.
  • Development of the projectively completed distortion sequence.
  • Creation of the full rank-signature phase diagram for generalized nieh–yan family.
  • Establishment of a rank-20 hook pairing structure.
  • Visualization of the projectively completed distortion sequence.
  • Comprehensive phase diagram detailing rank-signature characteristics.

Abstract

This paper classifies the nonmetricity obstruction to Nieh–Yan identifiability in four-dimensional metric-affine geometry. It derives the rank-20 hook pairing, the projectively completed distortion sequence, and the full rank-signature phase diagram of the generalized Nieh–Yan family.

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Cite This Study

Hiroyuki Shioiri (2026) studied this question.

synapsesocial.com/papers/6a3a225d111626ef22ab702ehttps://doi.org/10.5281/zenodo.20785797
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