From Differentiated Matter to Metric Exhaustion

What the paper constructs

An exact finite flat reference and an open local potential class establish selected inward response reduction with conservation and pressure work. Separate prepared spherical experiments occur inside globally constructed black-hole spacetimes. Their scalar turn, sphere braking and volume braking need not occur in the same order.

For two globally received positive-shear families, the completed source later approaches a finite-time invariant end. The local continuous-metric theorem excludes a same-dimensional, continuous, nondegenerate Lorentzian extension receiving the stated central-strip approach, without assuming extension symmetry or field equations.

The paper also constructs exact families with the same entire future exterior and different original interior source readouts. Disclosed preparation data can restore reconstruction on narrower families; an exact regular-side representation preserves the original operations without adding the prohibited endpoint.

The further exhaustion question

These results concern specified conditional model classes and continuation duties. They do not by themselves establish full residual-support exhaustion. That further claim requires the complete original witness-subtracted burden, eligible successor family and universal endpoint duty, together with the remaining AASC closure conditions. The paper does not infer inverse reheating, a physical GUT threshold, cross-boundary energy transfer or a populated successor cosmos.