GlobalMOO + Meta-Calculus
Expanding Search Spaces for Pareto-Optimal Discovery
David Youssef | December 2024
CASCADE Search Diagnostic
61.9%
Win Rate
In a local 21-case synthetic benchmark, CASCADE-style transforms reached lower-distance candidates in 13 cases. This is project evidence, not proof, independent validation, or a physical performance guarantee.
13/21
Wins
93.4%
Best Gain
1/r, 1/r^2
Singularities
k=-1
Tested transform
The Testable Hypothesis
Meta-calculus reparameterizes the search space. The project tests whether that changes finite optimizer behavior near singular objectives without confusing a bounded diagnostic with a physical solution.
Classical: Avoids singularities (numerical overflow)
CASCADE: L_BG[1/r] = -1, D_BG[1/r] = e^-1
Key Project Results
Synthetic project cases; not independent validation or a physical guarantee.
Cosmology, Fracture, Climate, Turbulence, Fusion, Molecular, CFD, QFT, GR, Quantum
A published algebraic constancy property, not automatic singularity removal.