Vacuum Catastrophe Framework Account

Overview

The vacuum catastrophe — the 10¹²⁰ discrepancy between the QFT prediction and the observed cosmological constant — is often called the worst prediction in physics. The τ-framework internally addresses it: the cosmological constant is exactly zero because the boundary reading of τ³ has no bulk energy term.

Result Statement

Vacuum catastrophe internally addressed: the bare cosmological constant in the bulk Lagrangian is zero exactly. Boundary reading of τ³ has no bulk vacuum energy term. The 10¹²⁰ discrepancy disappears. Status: Internally addressed.

Bare vs effective: what “Λ = 0” means here

The framework distinguishes two distinct objects that the literature often conflates under the symbol “Λ”:

• Λ_bare — the bare cosmological constant in the bulk Lagrangian. Zero exactly in the τ-framework. The 10¹²⁰ catastrophe assumes a bulk vacuum-energy term scaling with QFT cutoff⁴; the framework introduces no such bulk term, so the catastrophe dissolves at its origin rather than being cancelled by fine-tuning.
• Ω_Λ — the effective dark-energy density observable from the Hubble rate H(z), CMB acoustic peaks, and BAO. Distinct object — a boundary-readout effect, not a bulk Lagrangian term. Computed in the framework as Ω_Λ = κ_D(1 + ι_τ³) ≈ 0.6849 per V.T234, with the canonical-vs-tau-effective bridge characterised by V.T69 (“dark energy as boundary readout artifact”). See N20 falsification entry for the prediction and the comparison to Planck.

The two values can both hold because they refer to different physical objects: Λ_bare is bulk-Lagrangian; Ω_Λ is boundary-readout. The framework predicts both, exactly, with no contradiction. Cross-references: Falsification pack, V.T234 (Ω_Λ value), V.T69 (boundary-readout / canonical bridge).