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June 13, 2026Open Access

Primitive Axiomatics of Finite Obstruction Calculus

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Authors

JCJEREMY H. CARROLL

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Overview

Randomized trial explores finite axiomatics to diagnose local comparison failures in distributed systems, suggesting conditions for valid diagnostics.

Key Points

  • The aim is to establish a finite axiomatics framework for diagnosing local comparison failures in various finite evaluation systems.
  • Developed a finite, replayable axiomatics model for diagnosis.
  • Used a 2-truncated cochain structure to analyze inconsistencies.
  • Defined conditions for additive L1 diagnostics without universal L1 assumptions.
  • Identified three cases of inconsistencies: removable gauge artifacts, closed obstructions, and closure failures.
  • Established metrics for quantifying irreducible quotient mass (Φ₁) and d₁-closure charge (Γ₂).
  • Provided criteria under which additive L1 diagnostics are applicable.

Cite This Study

JEREMY H. CARROLL (2026) studied this question.

synapsesocial.com/papers/6a2cf551faef96ed7f05759ehttps://doi.org/10.5281/zenodo.20651224
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Also Consider

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  4. 4When Obstruction Is Not Scalar - Vector and Quantum Observer Geometries2026
  5. 5ANCHORED CONTROLLABILITY AND A THREE-SECTOR OBSTRUCTION CALCULUS FOR IMPOSSIBILITY THEOREMS IN AGGREGATION AND REPRESENTATION2026