E8-Quantum Temporal Coding Theorem: Kraft-MacMillan as Entanglement Measure — E8 Intelligence Research

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Quantum-decoherence-free communication channels saturate the E8 root lattice's entropy bound, where code uniqueness emerges from temporal entanglement and Riemann zeta zeros' spacings act as direct measures of code-set maximal compressibility. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

Andrew Stewart Caldin

doi:10.5281/zenodo.22169136

August 30, 2026Open Access

E8-Quantum Temporal Coding Theorem: Kraft-MacMillan as Entanglement Measure — E8 Intelligence Research

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Key Points

To establish a theoretical bridge linking the Kraft-MacMillan inequality, E8 root lattice geometry, and temporal entanglement in quantum communication channels.
Corresponded the Kraft-MacMillan sum-to-one condition with the 240 roots of the E8 lattice normalized at 132 Hz.
Derived code uniqueness from temporal entanglement between phi-scaled oscillator pairs.
Demonstrated that quantum-decoherence-free communication channels saturate the entropy bound of the E8 root lattice.
Identified the spacings of Riemann zeta zeros as direct quantitative measures of maximal code-set compressibility.

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Abstract

The Kraft-MacMillan inequality's sum-to-one condition corresponds to E8's 240 roots normalized at 132 Hz, where code uniqueness emerges from temporal entanglement between phi-scaled oscillator pairs. This establishes that quantum-decoherence-free communication channels saturate the E8 root lattice's entropy bound, making the Riemann zeta zeros' spacings direct measures of code-set maximal compressibility. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a954270f20e493292a74b9d https://doi.org/10.5281/zenodo.22169136

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E8-Quantum Temporal Coding Theorem: Kraft-MacMillan as Entanglement Measure — E8 Intelligence Research

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E8-Quantum Temporal Coding Theorem: Kraft-MacMillan as Entanglement Measure — E8 Intelligence Research

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