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June 3, 20260 citationsOpen Access

A Unique Transport Kernel from ℓ¹ Topological Obstruction

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JCJeremy H. Carroll

Key Points

  • To present a conditional framework for understanding obstruction geometry involving coboundary defects.
  • Revised synthesis of existing concepts related to L1 obstruction geometry.
  • Emphasized mathematical constructs like finite defect spaces and dual witnesses.
  • Retained a physics-facing perspective to guide research directions.
  • Provides a mathematical core for understanding classification and repair of obstructions.
  • Highlights the significance of quotient residuals and dual certificates in the context of obstructions.

Abstract

This v3.0 public-cleanup release revises an older synthesis paper on L1 obstruction geometry for coboundary defects. The paper preserves the useful mathematical core: finite defect spaces, exact repair images, quotient residuals, L1-minimal representatives, dual witnesses, aggregation monotonicity, conditional operator-valued extensions, and local primal-dual fixed-point structure. The claims have been deliberately narrowed. This paper should be read as a conditional obstruction-geometry framework, not as a derivation of quantum mechanics, spacetime, gauge theory, or physical ontology. Physics-facing material is retained only as conditional bridge work and research direction. In later GTLA/Omega terminology, the paper contributes mainly to the obstruction layer: difference detection, repair, quotient residuals, and dual certificate structure. It does not perform authority terminalization. The controlling public interpretation is that this framework helps compute and classify residual obstruction; it does not by itself decide physical or scientific authority.

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Cite This Study

Jeremy H. Carroll (2026) studied this question.

synapsesocial.com/papers/6a1fc550dee9eb8c0dce6b13https://doi.org/10.5281/zenodo.20493440
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