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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Base-Invariant Detection of Mathematical Constants in Universal Communication Systems

Authors: Sandner, Daniel;

Base-Invariant Detection of Mathematical Constants in Universal Communication Systems

Abstract

We present a formal computational method for detecting mathematical constants in encoded messages without prior knowledge of the number base used by the encoder. This problem arises in scenarios where sender and receiver cannot establish a shared coordinate system---including interstellar communication (SETI/METI), archaeological cryptanalysis, and cross-cultural information exchange. We prove that mathematical constants can be detected with arbitrarily high confidence by testing measurements against all plausible bases and identifying convergence patterns. Our detection algorithm achieves polynomial time complexity $O(|B| \times |S| \times |C|)$ and perfect parallelization. We establish theoretical bounds on detection probability, false positive rates, and provide extensive experimental validation. Applications extend beyond xenocryptography to include data format recovery, legacy system interpretation, and multi-modal sensor fusion.

Keywords

Mathematical method, Communication, Computational science, Information Theory, Cryptography, FOS: Mathematics, Semantic Communications, Metacryptography, Applied mathematics, Mathematics, Algorithms, Xenocryptography

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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