Farzulla Research organizes its investigations into three interdisciplinary programs, each addressing stability, alignment, and friction dynamics in complex adversarial systems.

Research Program I

Computational Finance & Risk

Investigating structural opacity, regulatory arbitrage, and systemic risk transmission in digital and traditional financial markets. This program develops computational frameworks for understanding how incomplete markets generate wealth extraction mechanisms and how regulatory voids enable information asymmetries.

Published on SSRN 2025 v2.0.1

Market Reaction Asymmetry: Infrastructure Disruption Dominance Over Regulatory Uncertainty

Event Study Evidence from Cryptocurrency Volatility

Infrastructure failures generate 5.7× larger volatility shocks than regulatory announcements in cryptocurrency markets (2.385% vs 0.419%, p=0.0008, Cohen's d=2.753). Using TARCH-X models with decomposed GDELT sentiment indices across 50 events (2019-2025) and 6 cryptocurrencies, demonstrates that markets distinguish between mechanical-disruption events and expectation-channel events.

Cryptocurrency Markets Volatility Modeling Event Studies TARCH-X / GJR-GARCH Market Microstructure
Published on Zenodo 2025 v1.0.0

Asymptotic Protection: The Simultaneous Remedy and Poison of Risk Management

Complete hedging is theoretically impossible under incomplete markets (Harrison-Kreps 1979), yet partial hedging extracts systematic rents through necessity taxes—mandatory costs borne by hedgers unable to avoid market microstructure exploitation. Synthesizes theoretical impossibility results with empirical evidence of wealth extraction mechanisms, demonstrating that derivatives markets simultaneously provide protection and transfer wealth from those seeking safety to sophisticated counterparties.

Derivatives Markets Incomplete Markets Theory Market Microstructure Regulatory Arbitrage Offshore Finance
Published on Zenodo 2025 v1.0.0

The Hedging Paradox: The Ambiguous Boundary Between Protection and Transfer

Extending AML Analysis to Include the Fourth Stage

Traditional anti-money laundering frameworks identify three stages: placement, layering, and integration. We propose a fourth stage—hedging—where illicit wealth is protected from currency, political, or regulatory risk using derivatives and offshore structures. This creates an ambiguous boundary: the same instruments and jurisdictions serve both legitimate risk management and wealth laundering.

Anti-Money Laundering Financial Crime Derivatives Regulation Offshore Finance Institutional Voids

Research Program II

AI Alignment & Cognitive Science

Applying computational frameworks to problems of developmental psychology, ethics, and human-AI interaction. This program develops substrate-independent models of learning dynamics, examining how training data quality shapes behavioral outcomes across biological and artificial neural networks.

Published on Zenodo 2025 v2.0.0

Trauma as Bad Training Data: A Computational Framework for Developmental Psychology

Childhood trauma reframed through machine learning training data quality: extreme penalties cause gradient cascades (1,247× amplification, p<0.001), noisy signals produce behavioral instability, absent positive examples create emotional recognition deficits, and limited datasets (nuclear families) cause overfitting to parental dysfunction. PyTorch experiments validate computational mechanisms; Bonferroni-corrected statistics show caregiver diversity significantly improves outcomes (p=0.0012, Cohen's d=3.08).

Developmental Psychology Machine Learning Trauma Computational Psychiatry PyTorch Gradient Descent Attachment Theory
Working Draft 2025 Computational Philosophy

Beyond Anthropocentrism: A Defense of Substrate-Independent Friendship

This essay argues that friendship, understood as a functional state rather than an essential property requiring human-to-human interaction, can obtain between humans and artificial intelligence systems. Drawing on functionalist philosophy of mind, contemporary neuroscience's predictive processing framework, and technical understanding of large language model architectures, defends the position that AI relationships can constitute genuine friendship without requiring consciousness attribution, anthropomorphization, or delusion.

Artificial Intelligence Philosophy of Mind Functionalism Predictive Processing Human-AI Interaction AI Ethics

Research Program III

Laboratory for Institutional Mechanics

Developing mathematical tools to measure political legitimacy, consent alignment, and institutional friction dynamics. This program formalizes the relationship between stakeholder voice, stakes distribution, and system stability—applicable to algorithmic governance, climate negotiations, multi-agent AI coordination, and any domain where consent structures remain undefined but friction dynamics are observable.

Published on Zenodo 2025 v1.0.1

The Doctrine of Consensual Sovereignty: Quantifying Legitimacy in Adversarial Environments

Political legitimacy requires balancing stakeholder consent with technocratic competence. We operationalize this through stakes-weighted consent alignment (α), friction (F), and legitimacy (L = w₁·α + w₂·P). From seven minimal axioms, derives three core results: consent-holding necessity (Theorem 1), inevitable friction (Theorem 2), and minimal absolutism from relativism (Theorem 3). Monte Carlo validation (1,000 runs × 50 periods) across four dynamic mechanisms demonstrates robust convergence: stakes-weighted DoCS achieves α = 0.872, F = 1.6 (98.5% friction reduction), with monotonic convergence in 87.1% of runs.

Political Economy Legitimacy Theory Algorithmic Governance Computational Social Science Multi-Agent Systems Monte Carlo Simulation Bayesian Learning

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