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June 2, 2026Open Access

Boundary-bulk geometry

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Authors

DPDavorin Pivec

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Overview

This article derives laws and interpretations linking boundary and bulk structures across disciplines.

Key Points

  • The aim is to explore the relationship between boundary and bulk structures in various systems.
  • Introduced a universal normalized boundary density based on previous work.
  • Derived exact spherical proportionality laws.
  • Proved isoperimetric optimality with practical interpretations.
  • Established the connection between boundary measures and bulk measures across different fields.
  • Demonstrated the significance of effective dimensionality in understanding complex systems.
  • Clarified physical implications of the derived laws in real-world applications.

Cite This Study

Davorin Pivec (2026) studied this question.

synapsesocial.com/papers/6a1e734530b38c64201b67b3https://doi.org/10.5281/zenodo.20478821
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