Cohomological Obstructions in the Deformation Theory of Infinite-Dimensional Lie Superalgebras: Algebraic Determinants of Symmetry-Breaking Propulsion Anomalies

Mathematical Applications of Science Fiction We present a rigorous, exhaustive analysis of the formal deformation theory of infinite-dimensional Liesuperalgebras L, specifically focusing on the cohomological obstructions arising in the context of symmetry-breaking propulsion anomalies in high-energy theoretical physics. By constructing the Chevalley-Eilenbergcohomology complex for the adjoint representation of L, we identify the primary and secondary obstructionsto the integrability of infinitesimal deformations. We prove that the non-vanishing of the third cohomologygroup H3(L, L) constitutes a fundamental barrier to the stabilization of propulsion metrics derived fromsuper-symmetric field theories. Furthermore, we introduce the Morvane-Determinant, an algebraic invariantderived from the Berezinian of the deformation operator, and demonstrate that its singularity correspondsprecisely to the onset of catastrophic causal decoupling in the underlying manifold. This manuscript estab-lishes a direct isomorphism between the modularity of the deformation space and the stability conditions oftrans-luminal propulsion drives