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PublishedBioSystems (2026)

Intelligence as High-Dimensional Coherence: The Observable Dimensionality Bound and Computational Tractability

What's this about?

This paper proposes that high-dimensional internal dynamics plus low-bandwidth action can be a useful architecture for adaptive control. The claim is a biological and computational hypothesis, not a definition of intelligence or a proof of a universal advantage over algorithms.

Within the paper's measurement model, estimated cortical state complexity can exceed the capacity of a restricted external tracking channel by large factors. The operational consequence depends on the channel, prior structure, task, and acceptable error; it is not ontological unmeasurability.

Landauer's principle constrains logically irreversible operations, not discreteness or clocking as such. Delaying durable commitment can reduce erasure costs in some implementations, while transient dynamics still require energy to maintain and control. Biological and digital devices must be compared operation by operation.

The paper explores related architectures across cells, nervous systems, and groups. Whether the same formal mechanism applies at each scale remains an empirical question.

Key findings

  • Observable dimensionality bound for specified tracking capacity, source complexity, and error tolerance

  • A worked cortical example can exceed an assumed external tracking budget by large factors, with the ratio depending on channel, task, compression, and error assumptions

  • Separates transient high-dimensional evolution from stabilized low-bandwidth output

  • Proposes code formation as one possible response to dimensional mismatch between high-D dynamics and low-bandwidth communication

Citation

Todd, I. (2026). Intelligence as High-Dimensional Coherence: The Observable Dimensionality Bound and Computational Tractability. BioSystems.
doi: 10.1016/j.biosystems.2026.105704

Workflow: Claude Code with Opus 4.5 (Anthropic) for drafting and simulation code; Gemini 3 Pro (Google) and GPT-5.2 (OpenAI) for review. Author reviewed all content and takes full responsibility.