We present a rigorous mathematical treatment of the lament in Ezekiel 19 as a description of manifold collapse and submanifold reconstruction.

Using the Coulon power law n² = m and its extensions, we model the fragmentation of the Davidic line (the “lioness” and “vine”) as a loss of injectivity and connectivity in a guarded region.

The “princes of Israel” are treated as points in a maximal clique; their removal creates cavities (C) that must be patched by guards (γ̂). We define the Coulon Number (s) as the ratio of submanifold tension to flow harmonics, and we prove that when this number exceeds a threshold, the manifold enters aporia (⊘).

The white paper provides definitions, lemmas, theorems, and Lisp/lambda-calculus implementations, culminating in a proof that Ezekiel 19 describes a necessary compression before the regathering of Ezekiel 34.

All mathematics is presented without MathJax, using basic notation and code blocks.

Christianity

Abstract

We present a rigorous mathematical treatment of the lament in Ezekiel 19 as a description of manifold collapse and submanifold reconstruction. 

Using the Coulon power law n² = m and its extensions, we model the fragmentation of the Davidic line (the “lioness” and “vine”) as a loss of injectivity and connectivity in a guarded region. 

The “princes of Israel” are treated as points in a maximal clique; their removal creates cavities (C) that must be patched by guards (γ̂). We define the Coulon Number (s) as the ratio of submanifold tension to flow harmonics, and we prove that when this number exceeds a threshold, the manifold enters aporia (⊘). 

The white paper provides definitions, lemmas, theorems, and Lisp/lambda-calculus implementations, culminating in a proof that Ezekiel 19 describes a necessary compression before the regathering of Ezekiel 34. 

All mathematics is presented without MathJax, using basic notation and code blocks.