preprintZenodo (CERN European Organization for Nuclear Research)Apr 27, 2026GREEN OA

A Characterization Theorem for Bounded Pair Algebras: The Unique O(1) Enclosure-Preserving Algebra over the EB Carrier (r4)

EDEric D. Martin
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Abstract

Manuscript revision r4. RSOS-260797 planar carrier-set theorem; this revision succeeds r2 (the ScholarOne submission to RSOS, RSOS-260797) and incorporates external structural review findings plus tonight's verification work. Changelog r2 → r3 → r4: r2 → r3 (intermediate revision; not separately deposited on Zenodo): Bibliography additions: Dawood (2019), Skowron & Dutta (2018), Bustince (2010, 2015) — prior-work coverage strengthened in §9 (formal comparisons to bilattices, rough sets, fuzzy logic, interval arithmetic). Abstract scope-tightening: cosmological-application content scoped explicitly to companion preprints rather than carried in the abstract; abstract now describes the planar theorem only. §8.4…

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Topics & keywords

Topics
Keywords
  • Characterization (materials science)
  • Algebraic structure
  • Bounded function
  • Algebra over a field
  • Boolean algebra
  • Term algebra
  • Subalgebra
  • Commutative property
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