Labs

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.

aimathematicslegal-techconvergence

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.

aistatisticsinformation-yieldobfuscation-detectionlegal-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.

aiinformation-theorydivergenceanchor-driftlegal-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.

aicomplexity-theorycompressiondeception-detectionlegal-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.

aidynamical-systemsstabilitystress-testinglegal-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.

aicomplexity-theorymodel-selectionnarrative-efficiencylegal-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.

aiinformation-theorytemporal-coherencedependency-decaylegal-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.

aiinformation-theoryentropystrategic-vaguenesslegal-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.

aitopologytdastructural-analysislegal-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.

aimathematicsoptimal-transportdistribution-shiftlegal-analysis