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Memory Engines: The Geometry of Automatic Abstraction

This document presents the core geometric intuition behind Memory Engines and the Reciprocator. For the precise mathematical specification and implementation details, see reciprocator.md and the code in model.py (see https://github.com/geometer-jones/reciprocator-lm.git).

Imagine an apple falling from a tree. Gravity pulls it faster and faster. Every prior instant of the gravitational field is perfectly preserved in its present velocity; nothing is lost. Yet the apple feels nothing. It does not notice,