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ZENODO
Preprint . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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Deterministic Reproducibility of Semantic-Spatial Correlation: Cross-Implementation Validation at 10^16 Precision

Authors: HIDEKI;

Deterministic Reproducibility of Semantic-Spatial Correlation: Cross-Implementation Validation at 10^16 Precision

Abstract

Abstract Reproducible measurement requires computational instruments whose numerical behavior remains stable across implementation variants. We establish deterministic reproducibility for Semantic-Spatial Correlation (SSC), a foundational metric in structure-meaning research, by validating three independent implementations under strict execution controls. Using condensed distance vectors, explicit seed management, and single-threaded BLAS execution, we demonstrate cross-implementation agreement at 10^(-16)precision across three distance metrics (cosine, correlation, euclidean) in 1,000trials with 64-item embeddings (dimension=128). Maximum observed difference (1.25\times 10^(-16))falls six orders of magnitude below the pre-specified tolerance (\mid\Delta\mid0). Complete code, test suite, and CI workflow are provided for third-party verification.

Keywords

measurement instrument, semantic–spatial correlation, cross-implementation validation, Optics of Intelligence, cognitive structure, deterministic reproducibility, E8 series, SSC

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green