Theorem 3.2 (Singularity Resolution).

Where classical Tμν diverges, the CEPE tensor remains finite via obstruction-theoretic regularization.

Proof. At a singularity, the moduli stack M becomes derived. The CEPE tensor extends as a perfect complex

TCEPE ∈ DbCoh(Mder)

whose cohomology in degree 0 gives the classical stress-energy, while higher cohomology contains "ghost" contributions that cancel divergences. ∎