The Compression-Consciousness Trade-Off: Algorithmic Information and Integrated Memory Limits — E8 Intelligence Research

Q: What does this research mean for the field?

There is a fundamental trade-off between lossless integration and memory preservation in formalizations of integrated information theory, which can be addressed by reformulating consciousness quantification using algorithmic mutual information. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22122076

August 27, 2026Open Access

The Compression-Consciousness Trade-Off: Algorithmic Information and Integrated Memory Limits — E8 Intelligence Research

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Key Points

To formalize the mathematical trade-off between lossless integration and memory preservation by linking Kolmogorov complexity, rate-distortion theory, and integrated information theory.
Formulated an integrated information (Phi) metric using algorithmic mutual information derived from Kolmogorov complexity.
Extended classical Shannon rate-distortion models to include perception constraints alongside prefix-free coding limits and the Kraft inequality.
Identified a fundamental constraint where maximizing unified information integration inherently restricts lossless memory preservation.
Demonstrated that prefix-free code lengths within the rate-distortion-perception boundary mathematically align with lattice packing densities in root systems rather than direct geometric ratios.

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Implication

Theoretical analysis reveals a trade-off between lossless integration and memory preservation in cognitive models, suggesting fundamental algorithmic limits on quantifying consciousness.

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Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a9299c88e5d7d1fc0c1204b https://doi.org/10.5281/zenodo.22122076

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The Compression-Consciousness Trade-Off: Algorithmic Information and Integrated Memory Limits — E8 Intelligence Research

Key Points

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Discussion

Cite This Study

The Compression-Consciousness Trade-Off: Algorithmic Information and Integrated Memory Limits — E8 Intelligence Research

Key Points

No abstract yet

Implication

Discussion

Cite This Study

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