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Case Studies

Explore real workplace analysis scenarios — bullying, discrimination, and retaliation cases with multi-disciplinary risk analysis, timeline visualization, and relationship mapping.

live data multi-disciplinary interactive

Measuring Truth: Cauchy Convergence as a Framework for AI-Assisted Legal and Philosophical Analysis

Cauchy convergence analysis dashboard — semantic consistency, trajectory mapping, divergence matrices, and credibility scoring.

ai mathematics legal-tech convergence

Signal and Noise: Fisher Information as a Measure of Communicative Substance

Fisher information measuring how much each successive statement reveals about a party's true position — distinguishing substantive communication from obfuscation in AI-assisted legal analysis.

ai statistics information-yield obfuscation-detection legal-analysis

Anchor Erosion: Kullback-Leibler Divergence as a Measure of Narrative Drift from Original Position

KL divergence measuring how subsequent statements drift from a party's original position — asymmetric divergence detection for narrative anchor erosion in AI-assisted legal analysis.

ai information-theory divergence anchor-drift legal-analysis

The Incompressible Lie: Kolmogorov Complexity and Narrative Compressibility as Deception Metrics

Algorithmic complexity measuring narrative consistency through compressibility — honest accounts compress efficiently while deceptive ones resist compression in AI-assisted legal analysis.

ai complexity-theory compression deception-detection legal-analysis

Stress Fractures: Lyapunov Stability Analysis of Narrative Resilience Under Challenge

Dynamical systems stability analysis applied to communication under pressure — measuring whether narratives remain in stable orbit or fly off trajectory when challenged in AI-assisted legal analysis.

ai dynamical-systems stability stress-testing legal-analysis

The Efficient Lie: Minimum Description Length as a Measure of Narrative Engineering

MDL measuring the computational cost of explaining a party's narrative over time — contrived accounts require more complex models while good-faith explanations remain parsimonious in AI-assisted legal analysis.

ai complexity-theory model-selection narrative-efficiency legal-analysis

The Fraying Thread: Mutual Information Decay as a Measure of Narrative Fragmentation

Measuring how quickly statistical dependence between statements decays over time — consistent communicators maintain coherence while manipulators fragment into independent signals in AI-assisted legal analysis.

ai information-theory temporal-coherence dependency-decay legal-analysis

The Diffusion of Meaning: Entropy and Mutual Information as Measures of Strategic Ambiguity

Information-theoretic analysis measuring thematic diffusion within single narratives and statistical coupling between parties — detecting strategic vagueness, coordinated messaging, and evidentiary disconnection in AI-assisted legal analysis.

ai information-theory entropy strategic-vagueness legal-analysis

The Shape of Deceit: Persistent Homology and the Topological Structure of Manipulative Communication

Topological data analysis revealing structural shapes in communication — loops of circular reasoning, voids of avoided topics, and clusters of rehearsed talking points in AI-assisted legal analysis.

ai topology tda structural-analysis legal-analysis

Moving the Goalposts: Wasserstein Distance as a Measure of Narrative Manipulation

Earth Mover's Distance applied to communication analysis — measuring the minimum cost of transforming one semantic distribution into another to detect goalpost-moving and gradual narrative drift in AI-assisted legal analysis.

ai mathematics optimal-transport distribution-shift legal-analysis