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Mathematics for thresholds, transitions, and emergence. Frameworks for how relationships and systems survive observation.

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The papers argue. These run.

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  • (01) live

    AI Lineage Network

    UPDATED: How frontier AI reproduces itself, people, methods, models, money, and machines, 2010–2026. Every edge is a cited claim. 94 entities and 197 documented relationships across seven channels, people, methods, models, money, machines, data, and evaluation.

    rev. Sep 15, 2026PublishedAI & ComputationAI Commentary & Industry

  • (02) live

    Phase-Coherent Earth Dashboard

    The Phase-Coherent Earth Monitor represents the world's first implementation of non-collapse field mathematics for real-time planetary visualization. The dashboard treats Earth as a living, dynamic, phase-coherent substrate

    rev. Jul 30, 2026PublishedEarth

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Where to begin if you only read four things.

(01)

Debris as Predictive Compression: An Exact Return Bias and an Open Equation Spine for Observer-Relative Coupling

Can unrealized transitions leave detectable residue? A four-state stochastic model yields an exact 4.95% return bias, then maps an open path from predictive compression to observer-relative geometry, coupled debris fields and changing admissibility.

PublishedMathematics & GeometryPhysics

(02)

What Lies Beneath Spacetime?

Donald Hoffman argues that spacetime may be an interface rather than reality’s foundation. This essay examines Recursive Trace Logic, Markov chains, his unpublished physics conjectures, and whether unrealized possibilities can leave measurable residue.

PublishedMathematics & GeometryFrameworks & ArchitecturePhysics

(03)

Peter Thiel, Palantir, and the Antichrist Problem

Thiel warns of an Antichrist that arrives as the solution. He co-founded Palantir. The restrainer and the restrained may be indistinguishable. Katechon and Antichrist are not operational opposites. A structural reading of Peter Thiel's theology and Palantir's architecture.

PublishedFrameworks & ArchitectureAI Commentary & Industry

(04)

Common Soil: How Frontier AI Reproduces Itself

93 entities and 194 documented relationships across seven channels, people, methods, models, money, machines, data, and evaluation, two ecosystems, 2010–2026.

PublishedAI Commentary & IndustryAI & ComputationFrameworks & Architecture