Collapse Mathematics (cMth): A New Frontier in Symbolic Structural Survivability

Collapse Mathematics (cMth) is introduced as a new symbolic and epistemic discipline aimed at modeling the survival patterns of mathematical structures under escalating regimes of interpretive collapse. Unlike traditional mathematics, which emphasizes deductive stability or probabilistic approximation, cMth explores how formal structures degrade, mutate, or stabilize when subjected to symbolic entropy and compressive filtration. Derived as a complementary lineage to Heuristic Physics (hPhy), this framework does not seek physical simulation, but rather a structural diagnosis of symbolic survivability. Through the articulation of collapse pressure, spectral curvature, and interpretive fragility, cMth opens a new field for investigating why certain mathematical entities — such as the Riemann critical line — persist across interpretive collapse layers, while others fragment or dissolve. The approach invites both rigorous mathematical formalism and structural epistemology, proposing a symbolic theory of resilience that may underlie unsolved problems in number theory, complexity, and foundational logic.