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August 10, 2026Open Access

Spectral Unification and Supersymmetric Dynamics of Pathological Transitions in Multivariable Biological Systems: A Network Fokker-Planck Framework

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Authors

CCCarlos Mario Acevedo Carvajal

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Overview

Randomized trial simulates pathological progression in a biological system, suggesting a new approach to modeling transitions.

Key Points

  • This study aims to develop a mathematical framework to understand transitions from healthy to pathological states in biological systems.
  • Established a Network Fokker-Planck Equation using non-linear reaction-clearance dynamics
  • Executed gauge and coordinate transformations for a canonical Hermitian tensor Hamiltonian
  • Validated the framework using a computational model with an 84 × 84 DTI connectome
  • Collapse of Fiedler value from 1.92 to 0.30 indicates a significant 84.15% reduction
  • Pathological de-coherence measured via Kuramoto dynamics increased from 0.52 to 3.28
  • Demonstrated spectral biomarker for cognitive disconnection through topological fragmentation

Cite This Study

Carlos Mario Acevedo Carvajal (2026) studied this question.

synapsesocial.com/papers/6a797d579c20a9bbd3184ad4https://doi.org/10.5281/zenodo.21852019
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