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.
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.
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.
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.
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.
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).
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.
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.
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.
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