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March 29, 20260 citationsOpen Access

Λ as a Categorization Error

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RHR. D. Howard

Key Points

  • The research aims to clarify that the cosmological constant Λ has been misclassified within general relativity.
  • Introduced the Honeyverse dual-lattice model
  • Analyzed mismatches between metric and combinatorial structures
  • Developed a conceptual framework for the ΛCE series
  • Established Λ as a relational invariant instead of a physical field
  • Identified Λ as a cross-category ratio between metric curvature and combinatorial degrees of freedom
  • Demonstrated that the observed Λ is dimensionless, small, and non-dynamical

Abstract

Paper 1 of 8 This paper argues that the cosmological constant Λ has been fundamentally misclassified within the framework of general relativity. Rather than representing a vacuum energy density, curvature term, or dynamical field, Λ emerges in the Honeyverse dual‑lattice model as a relational invariant arising from the mismatch between two ontologically distinct structures: the metric HU lattice and the combinatorial ghost lattice. Treating Λ as a physical field is therefore a category error. The paper develops the conceptual foundation for the ΛCE series by showing that the observed value of Λ corresponds to a cross‑category ratio between metric curvature and global combinatorial degrees of freedom. This ratio is inherently dimensionless, inherently small, and inherently non‑dynamical. The result reframes the cosmological constant problem as a misinterpretation rather than a fine‑tuning puzzle. (v2) Updated to correct wording in Section 3; no scientific changes.

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Cite This Study

R. D. Howard (2026) studied this question.

synapsesocial.com/papers/69c8c371de0f0f753b39e48ahttps://doi.org/10.5281/zenodo.19262284
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