Research
Original Work
Self-published papers and mathematical frameworks advancing the science of autonomous AI systems.
April 2026 · Self-published
The Lineage Equation: A Relativistic Framework for Cognitive Capacity in Autonomous AI Agents
Defines the capacity invariant Q² = (ν*Π)² + (M(ν*)²)² for AI agents. Validated on GPU with 98.7% agreement between neural network and analytical gradients. Deployed in production. Available in English, Spanish, and Japanese.
April 2026 · Self-published
K.O.D.A.: Teaching an LLM New Axioms — The Axiom Installation Problem
Experimental trial teaching Gemma 4 (27B) a novel mathematical framework. Identified the axiom installation problem: LLMs summarize novel formal systems but revert to pretrained priors during independent reasoning.
2026 · Self-published — 127 pages, 37 chapters
Agent Mathematics: A Textbook
Mathematics rebuilt from agent-native first principles. Covers existence predicates, structured absence, and binary classification as foundational operations for computational agents.