FARZULLA RESEARCH

Quantifying Legitimacy, Modeling Volatility, Provoking Discourse

This research program investigates stability, alignment, and friction dynamics in complex systems where competing interests generate structural conflict.

Our work treats diverse domains—political governance, financial markets, human development, multi-agent AI—as adversarial environments where optimal outcomes require balancing competing interests rather than eliminating conflict. This framework formalizes relationships between stakes, voice, and friction, applicable to algorithmic governance, climate negotiations, autonomous agents, and any system where consent structures remain undefined but friction dynamics are observable.

Computational research conducted at Resurrexi Labs, our distributed computing division specializing in autonomous systems, offensive security, and large-scale computational experiments.

Recent Publications

Published November 2025

The Doctrine of Consensual Sovereignty: Quantifying Legitimacy in Adversarial Environments

Operationalizes political legitimacy through stakes-weighted consent alignment. Monte Carlo validation demonstrates robust convergence across four dynamic mechanisms.

α = 0.872
Consent Alignment
98.5%
Friction Reduction
1,000
Monte Carlo Runs
Published November 2025

Market Reaction Asymmetry: Infrastructure Disruption Dominance Over Regulatory Uncertainty

Infrastructure failures generate 5.7× larger volatility shocks than regulatory announcements in cryptocurrency markets. TARCH-X models demonstrate markets distinguish mechanical disruption from expectation channels.

5.7×
Infrastructure Impact
50
Events Analyzed
p<0.001
Significance
Published November 2025

Gradient Descent Framework: Trauma as Adversarial Training Conditions

Computational reframing of developmental psychology through machine learning training data lens. PyTorch experiments demonstrate 1,247× gradient cascade from extreme penalties.

1,247×
Gradient Cascade
4
Training Data Categories
p=0.0012
Significance
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