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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.18682818 |
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Table of Contents:
- <p>We obtain a zero-parameter formula for the cosmological constant:</p> <p>κ²Λ = (1991/720)(m_p/M_P) e^{-24π²} = 2.85 × 10⁻¹²²</p> <p>The observed value is 2.86 × 10⁻¹²²; the discrepancy is 0.4%.</p> <p>The result follows as a conditional theorem under three premises: (P1) the Euclidean gravitational path integral is dominated by the Planck-curvature S⁴ saddle, (P2) the conformal window possesses a Born-reciprocal UV/IR involution selecting the evaluation scale H² = m_p M_P, and (P3) the gravitating vacuum energy is determined by the scheme-independent Weyl response of the matter effective action.</p> <p>The coefficient 1991/720 is the a-type conformal anomaly of the Standard Model. The ratio m_p/M_P ≈ 10⁻¹⁹ is the QCD gauge hierarchy. The exponential e^{-24π²} ≈ 10⁻¹⁰³ is the semiclassical weight of the de Sitter instanton. No other combination of scheme-independent quantities on conformally flat S⁴ survives the counterterm-invariance requirements.</p> <p>The formula predicts H₀ = 67.4 ± 0.8 km/s/Mpc and makes the Standard Model particle content a precision cosmological observable. Detailed justifications for each premise are provided in the companion paper (Paper II).</p>