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March 14, 2026Quantum ReportsOpen Access

The Periodic Table as an Emergent Helicoidal Manifold: A Unified Information-Theoretic Analysis of the Atomic Elements Z = 1–103

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Authors

RERodolfo O. EsquivelHVHazel Vázquez-HernándezJOJonathan Ornelas-Muñoz

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Overview

Information-theoretic analysis uncovers periodic table emergence in atomic structures, suggesting new interpretations.

Key Points

  • This analysis aims to explore the atomic electron densities of elements Z = 1 to 103 using information theory.
  • Utilized Shannon entropy and Fisher information to analyze atomic densities.
  • Represented the periodic table as a helicoidal manifold in three-dimensional information space.
  • Examined both position and momentum spaces for insights on atomic complexity.
  • Chemical periodicity emerges as a helicoidal structure in theoretical information space.
  • Found information-theoretic signatures related to shell structure and electron-configuration anomalies.
  • Revealed hydrogen's unique positioning between helium and lithium based on kinetic energy distribution.

Cite This Study

Esquivel et al. (2026) studied this question.

synapsesocial.com/papers/69b4fc1fb39f7826a300cc70https://doi.org/10.3390/quantum8010022
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