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May 10, 20260 citationsOpen Access

Λ as a Geometric Force - A Combinatorial Reframing of the Cosmological Constant

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RHR. D. Howard

Key Points

  • The aim is to provide a new geometric interpretation of the cosmological constant Λ within general relativity and ΛCDM.
  • Introduced a dual-layer description of spacetime, incorporating both metric and non-metric layers.
  • Applied a combinatorial doubling rule to explain the behavior of Λ.
  • Focused on compatible integration with existing cosmological models.
  • Established that the non-metric layer's growth leads to a small, constant curvature term interpreted as Λ.
  • Demonstrated the feasibility of a geometric force interpretation without contradicting general relativity.
  • Provided a gentle reframing for cosmologists to consider the deeper origin of Λ.

Abstract

This short conceptual note introduces a geometric interpretation of the cosmological constant Λ that is fully compatible with GR and ΛCDM. Instead of treating Λ as a physical substance or an unexplained constant, the paper frames it as a geometric force—an inevitability arising from a simple combinatorial doubling rule in a dual‑layer description of spacetime. The metric layer remains entirely standard, while a non‑metric combinatorial layer grows faster, producing a small, constant curvature term interpreted as Λ. This brief paper is intended as a gentle, metric‑friendly reframing for cosmologists interested in the origin and behavior of Λ. v1

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Cite This Study

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

synapsesocial.com/papers/6a0021fec8f74e3340f9cfa8https://doi.org/10.5281/zenodo.20077879
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