Abstract

We present a rigorous mathematical treatment of Ezekiel 11:16-21 as a description of sanctuary manifold invariance under scattering and the heart of stone to heart of flesh phase transition.

The passage introduces five critical operations: (1) scattering among nations (manifold dispersion), (2) sanctuary presence in exile (invariant submanifold), (3) gathering from peoples (manifold reconstruction), (4) removal of detestable things (cavity clearance), and (5) heart replacement (material phase change from rigid stone to compliant flesh).

Using the Coulon framework extended with material science phase transitions, spectral geometry, and invariant theory, we model the sanctuary as a topological invariant that persists despite manifold deformation. The heart of stone is a rigid phase with infinite Young's modulus; the heart of flesh is a viscoelastic phase with finite Deborah number. We prove that the gathering operation is a flow along the gradient of the sanctuary invariant, and that the new spirit is a connection form that enables parallel transport of obedience.

The white paper provides definitions, lemmas, theorems, Lisp implementations, and lambda-calculus encodings, culminating in a proof that Ezekiel 11:16-21 describes a universal covering space reconstruction after exile.