arXiv: cs.AI preprintsInternational6 November 2026
How Finite Brains Generalize Without Bound: Spatial Memory as a Universal Computer
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arXiv:2611.07920v1 Announce Type: new Abstract: A child who learns to add small numbers adds numbers of any length. LSTMs and Transformers trained on short sequences fail on longer ones. We trace the difference to what a learner reads when it decides. A position, a count or a time keeps taking new values as the input grows: it is a coordinate, and a learner that reads one meets in every long input values its experience never covered. Whether two things are the same has the same two answers at every size: it is a coincidence, and a learner that reads only coincidences finds in a long input noth
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