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Synapse
June 27, 2026Open Access

Spectral Rigidity and Topological Phase Transitions in Stressed Financial Networks

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Authors

EFEduardo Batista de Freitas

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Overview

Randomized trial shows systemic crashes as topological phase transitions in financial networks, indicating instability patterns.

Key Points

  • This research aims to uncover the physical mechanisms behind systemic failures in financial networks.
  • Defining Liquidity Mask as a lower-triangular operator
  • Employing multi-agent systems for iterative falsification
  • Validating results via Circular Block Bootstrap null model
  • Algebraic connectivity converges to an asymptotic geometric boundary of 0.5 (p < 0.001)
  • Establishes systemic crashes as transitions characterized by bidirectional to unidirectional dynamics
  • Mapping of Anderson-like localization transition validated with multifractal IPR equation

Cite This Study

Eduardo Batista de Freitas (2026) studied this question.

synapsesocial.com/papers/6a3f68cdaea7db3c1953fd38https://doi.org/10.5281/zenodo.20838714
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