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March 3, 2026Open Access

A Linear Exponent Law for Alpha-Power Fisher Curvature at the 2D Ising Critical Point

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Authors

MZMax Zhuravlev

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Overview

Exact enumeration reveals scaling of curvature in alpha-power Fisher metrics, indicating new insights into critical phenomena.

Key Points

  • To explore the scaling behavior of scalar curvature in alpha-power Fisher metrics at the 2D Ising critical point.
  • Utilized exact enumeration for system sizes L=3,4,5.
  • Analyzed the scaling relationship of scalar curvature.
  • Derived the linear law for curvature scaling with respect to alpha.
  • Scalar curvature scales as R ~ n^{d_R(alpha)}.
  • Identified d_R converging to a linear law as d_R(alpha) = alpha * d_R(1).
  • Showed a consistent relationship between curvature and alpha for the Ising model.

Cite This Study

Max Zhuravlev (2026) studied this question.

synapsesocial.com/papers/69a67efaf353c071a6f0abffhttps://doi.org/10.5281/zenodo.18827254
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