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April 6, 20260 citationsOpen Access

Sci - The Containment Ratio: Vacuum Energy, Closure Shells, and the Pre-Geometric Interpretation of the Cosmological Constant

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AKArmstrong Knight

Key Points

  • The research aims to reinterpret the cosmological constant discrepancy using a new framework based on pre-geometric conditions.
  • Analyzes the relationship between the cosmological constant and vacuum energy through theoretical modeling.
  • Derives the containment ratio from the closure action functional.
  • Connects findings to established results in holographic dark energy and structural consequences of physical theories.
  • Derives a containment ratio approximating 1.13×10⁻¹²³, linking it to cosmic closure mechanics.
  • Predicts a persistence threshold crossing at redshift z_acc ≈ 0.63, close to observed dark energy phenomena.
  • Reframes the concept of heat death in cosmology as a return to pre-geometric conditions.

Abstract

Sci - The Containment Ratio: Vacuum Energy, Closure Shells, and the Pre-Geometric Interpretation of the Cosmological Constant Armstrong Knight — intent-tensor-theory. com — 2026 The cosmological constant problem — the 10¹²⁰⁻¹²³ discrepancy between quantum field theory's vacuum energy prediction and the measured cosmological constant — is conventionally treated as a fine-tuning or cancellation problem. This paper proposes a fundamentally different interpretation: nothing cancels. The Collapse Tension Substrate (CTS) operates at full Planck intensity everywhere and always. The cosmological constant is the boundary bleed rate of the cosmic closure shell — the fraction of CTS intensity escaping the pre-geometric containment conditions. The containment ratio βcos = ρ_Λ/ρPlanck ≈ 1. 13×10⁻¹²³ is derived from the closure action functional 𝒮*cos ≈ 283. 1, identified as the logarithm of the number of Planck-area cells on the cosmic horizon. The paper connects this to established holographic dark energy results (Cohen, Kaplan, Nelson 1999; Li 2004), adds the dimensional plane argument (the 10¹²³ discrepancy is a structural consequence of post-geometric tools operating on a pre-geometric object), derives the cosmic selection number Scos = 1/|2q−1| = 0. 487 today, and predicts the persistence threshold crossing at zₐcc ≈ 0. 63 — testably close to DESI's observed PhantomX dark energy peak at z ≈ 0. 5. The heat death is reframed as substrate return: the completion of the bleed cycle in which organized matter dissolves back into the pre-geometric ground state. All claims are separated into classical facts, established prior art, and ITT-native hypotheses. The primary falsifiable prediction is zₐcc ≈ 0. 63, currently under measurement by DESI DR2 and the Rubin Observatory LSST.

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Armstrong Knight (2026) studied this question.

synapsesocial.com/papers/69d34e739c07852e0af980afhttps://doi.org/10.5281/zenodo.19423452
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