Compactly Supported Nonlinear Constraint Deformations and Linearized Curvature Growth in Ori’s Chronology Model

Ori's vacuum--dust spacetime has a regular initial hypersurface whose vacuum-core portion is umbilical. The core develops a chronology horizon.Let \(\theta_0\) be the angular cutoff of the core and choose \(0<a<b\) with \(b+2\log(2+\sqrt{3})<\theta_0\). Fix a nonzero real \(p\in C_c^\infty((a,b))\) that is odd about \((a+b)/2\). We construct a smooth, nontrivial one-parameter family of finite-amplitude vacuum constraint deformations, compactly supported in a fixed annulus of the core and defined for every real \(\varepsilon\) with \(\varepsilon^2\|p^2+(p')^2\|_\infty<1\).The family satisfies both nonlinear vacuum Einstein constraints exactly within the core and extends, with Ori's unchanged dust envelope and exterior, to global Einstein--dust initial data satisfying the full constraints. We propagate its axial first variation using the established Kodama--Ishibashi formalism. Under the specified core-size and support conditions, the resulting Weyl Pontryagin first variation satisfies a logarithmic \(L^2\) lower bound as the background horizon is approached. A local hyperbolic equation and the curvature reconstruction establish finite propagation for the invariant curvature observable, even though the auxiliary master potential need not be compactly supported. A radial Wronskian gives a nonzero horizon coefficient on a set of positive spectral measure. We also compute the exact initial twist and the leading term in the initial-slice Weyl Pontryagin expansion of the finite-amplitude data. The growth estimate concerns the linearized Einstein equations, not the curvature of any fixed nonzero-amplitude development. No nonlinear chronology-protection statement is implied.