Parameter Derivation from First Principles in the Stochastic Rupture Framework

We show that the ve parameters α, Γ0, ∆2D, η, γ (0) 0 of the Stochastic Rupture framework are not independent phenomenological couplings. They reduce to two fundamentalquantities H∗, ℓP through holographic geometry, Planck-scale discreteness, and causal thermodynamics. The storm temperature Tstorm is derived from the Friedmann equation atthe storm-to-pruning transition, yielding Tstorm ∼ √ H∗MP and closing the parameter set. We also extend the derivation of α to laboratory systems, and reframe the non-Gaussianity prediction fNL ∼ (H∗/MP) 2 ≪ 1 as a strong falsier rather than a trivial consistency check. The spectral tilt ns − 1 is shown to vanish at leading order (exact HarrisonZeldovich), with the observed value ns − 1 ≈ −0. 035 arising from the nite distance of the freeze-out epoch from the critical point of the storm-pruning phase transition; computing this subleading correction from rst principles is identied as the decisive remaining open problem