Holes, Loops, and Voids: The Topology of Getting Stuck
Betti numbers expose the structural shape of belief systems and relationships. Topological features—disconnection, recurring loops, sealed voids—resist change more than any geometry.
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The Math Behind "Something Feels Off"
Kullback-Leibler divergence explains subjective discord: the measurable gap between predictive models and reality across psychology, relationships, and culture.
Why Some People Feel Everything More Sharply: Curvature Explained
High-curvature belief systems amplify tiny changes into intense reactions, while low-curvature minds shift gradually. Understanding sensitivity through information geometry reveals why trauma reshapes our emotional landscapes.
The Shape of Surprise: What Information Geometry Actually Measures
The Fisher information metric measures how distinguishable beliefs are in predictive space. Explains why some therapeutic changes are geometrically difficult to traverse.
Your Mind Is a Point on a Surface You Can't See
Every belief is a point on an invisible manifold. Learn how information geometry reveals why some mental transitions flow naturally while others feel impossible.
The Unified Theory of Staying Alive: From Atoms to Cultures
A single principle—coherence under constraint—governs self-organizing systems across all scales. Trauma is coherence collapse; healing is restoration.
Meaning Is Not in Your Head; It's in the Pattern
Meaning emerges from coherence between systems and environments, not as mental content. Discover how successful prediction creates the feeling of meaning from molecules to cultures.