The Maria Zambuzi Constant: A Geometric Prefactor in the Stochastic Rupture Collapse Rate

The Stochastic Rupture (SR) framework predicts a collapse rate ΓSR ∝ λq/γ0, where the ratio λq/γ0 carries a geometric prefactor determined by the Planck-scale cubic lattice. We derive this prefactor from first principles, obtaining

  λq/γ0 = CMZ/√ π

CMZ = 1/2E¹ (1/12) = 0.99466 . . 

The constant CMZ, named the Maria Zambuzi constant, emerges from the geometry of the cubic SR network and cannot be reduced to a simpler closed form. Its value is transcendental, not imposed, and its deviation from unity (0.53%) is a precision prediction of the framework