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March 1, 20260 citationsOpen Access

Spectral Gap Selection of Lorentzian Signature from Observer Fisher Information Geometry

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MZMax Zhuravlev

Key Points

  • The research aims to explore how sparse Fisher information matrices select Lorentzian signatures through a spectral gap mechanism.
  • Analyzed sparse Fisher information matrices for Ising-type models
  • Utilized spectral gap analysis to identify Lorentzian signatures
  • Established stability bounds for the matrices
  • Demonstrated W(q=1) > W(q>=2) for the matrices
  • Reinforced the preference for Lorentzian signatures in sparse information matrices
  • Provided explicit stability bounds confirming the findings

Abstract

Demonstrates that sparse Fisher information matrices for Ising-type models preferentially select Lorentzian signature via a spectral gap mechanism. Proves W(q=1) > W(q>=2) for sparse matrices with explicit stability bounds.

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Cite This Study

Max Zhuravlev (2026) studied this question.

synapsesocial.com/papers/69a3d89aec16d51705d2fa38https://doi.org/10.5281/zenodo.18807270
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