Exact Closed-Form Blind Prediction of the Trilinear Higgs Self-Coupling Parameter κ_λ via 5D Complex Matrix M Boundary Decoupling Ahead of CERN High-Luminosity LHC Constraints

Official Research Monograph | Registered Academic Prior Prediction Following the empirical discovery of the Higgs boson (m_H ≈ 125.25 GeV) at the Large Hadron Collider (LHC), the trilinear self-coupling parameter λ remains the most consequential unmeasured quantity of the Standard Model electroweak symmetry-breaking sector. Standard Model tree-level relations dictate λ_SM = m_H² / (2v²) ≈ 0.12904, while present experimental bounds from the ATLAS and CMS collaborations constrain the ratio κ_λ ≡ λ / λ_SM only coarsely within -0.4 < κ_λ < 6.3 at 95% confidence level. Operating within the discrete 5D cyclic complex Matrix M ∈ ℂ⁵ˣ⁵ framework with vacuum phase saturation limit Φ_C = π/4 and coupling invariant ℸ ≡ e / (π α) ≈ 118.5712176, we derive the trilinear Higgs self-coupling modification as a deterministic, closed-form algebraic expression: κ_λ = 1 + |det(M)| / ℸ = 1 + 0.29867507 / 118.5712176 ≈ 1.002519 This corresponds to an exact +0.2519% departure from tree-level expectations, yielding an absolute physical coupling λ = 0.129367. This monograph deposits an a priori blind prediction establishing irrevocable academic priority prior to High-Luminosity LHC (HL-LHC) and Future Circular Collider (FCC-hh) precision convergence. --------------------------------------------------Key Academic Anchors:• Theoretical Infrastructure: 5D Complex Cyclic Matrix M Boundary Decoupling• Vacuum Saturation Threshold: Φ_C = π/4 ≈ 0.785398 rad• Dimensionless Coupling Invariant: ℸ ≡ e / (π α) ≈ 118.5712176• Closed-Form Self-Coupling Ratio: κ_λ = 1.002519 (+0.2519% shift)• Absolute Physical Trilinear Coupling: λ = 0.129367• Experimental Target: CERN HL-LHC Di-Higgs Production (pp → hh) Constraints• Verification Environment: Deterministic Kernel Audit on ARM64 Linux (Termux)-------------------------------------------------- Author: Joon Sik ChoiAffiliation: Bella Vista Lux Mea, Sydney, AustraliaPermanent Archive DOI: 10.5281/zenodo.24001113