Spacetime Scales of Quantum Transitions in Superfluid Vacuum: Attosecond Jumps and Spontaneous Lifetimes

Within Superfluid Vacuum Theory (SVT) combined with Scale Relativity, we present a spacetime scaling model for quantum transitions and spontaneous emission. We show that the dynamic renormalization factor Z_SVT ≈ 0.943 can be derived from first principles by comparing the classical hollow vortex core constant (U_classical = 0.500) and the quantum compressible Gross-Pitaevskii core constant (U_GP ≈ 0.380). In this emergent paradigm, the vacuum mass density (ρ_vac ≈ 1.137 × 10¹⁵ kg/m^3) is anchored to the QCD chiral condensate and current quark masses. From these vacuum properties, we derive the emergent electron mass (m_e ≈ 9.109 × 10⁻³¹ kg) and the corresponding Compton time (τ_c ≈ 1.288 × 10⁻²¹ s). Spontaneous decay is modeled as a stochastic activation over a radiative barrier, where the barrier height Δ U is physically identified with the transition energy Δ E ≈ 10.1988 eV in the T → 0 limit. The vortex coupling constant g is derived from the Gross-Pitaevskii Hamiltonian, the Euler-Mascheroni constant, and first-order radiative dressing (g = γ α Ry (1+α) ≈ 0.05773 eV). This model predicts the hydrogen 2p → 1s lifetime with a 0.25% discrepancy (τ ≈ 1.600 ns vs τₑₓₚ = 1.596 ns). Furthermore, using the Clem vortex profile, we obtain the attosecond quantum jump duration (τⱼᵤₘₚ ≈ 0.68 as for Hydrogen), which exhibits an acoustic Shapiro-like delay. A composite model τₜₒₜₐₗ = τfieldSFA + τⱼᵤₘₚSVT is introduced, showing high phenomenological agreement with experimental attosecond transient absorption spectroscopy (ATAS) data and predicting a non-monotonous 'Smoking Gun' trend in Beryllium.