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Calculus Invariance
HomeProblem
MOO InvarianceFoundationsLoop Corrections
OverviewValidation Resultsk(L) Formula
Symbolic (10/10)GUD BenchmarksNegative Results (H0/S8)Spectral Gap VerifiedLog-Space Verified
Generator Discovery3D BH/NS Mergers3D Galaxy N-body3D Vortex Rings3D Plasma3D SPH Fluid3D QuantumConsumer HardwareChaos PreservationCrack Tip SingularityTurbulence VortexMolecular DynamicsRadiation Transport
CFD: Shock TubeQFT AmplitudesNumerical RelativityQuantum GeometryDual MOO Synergy
IntroductionThe BridgeCore Mathematics12-Year JourneyProofsTextbook
PapersArchiveSource Code
HomeProblem
MOO InvarianceFoundationsLoop Corrections
OverviewValidation Resultsk(L) Formula
Symbolic (10/10)GUD BenchmarksNegative Results (H0/S8)Spectral Gap VerifiedLog-Space Verified
Generator Discovery3D BH/NS Mergers3D Galaxy N-body3D Vortex Rings3D Plasma3D SPH Fluid3D QuantumConsumer HardwareChaos PreservationCrack Tip SingularityTurbulence VortexMolecular DynamicsRadiation Transport
CFD: Shock TubeQFT AmplitudesNumerical RelativityQuantum GeometryDual MOO Synergy
IntroductionThe BridgeCore Mathematics12-Year JourneyProofsTextbook
PapersArchiveSource Code

Applications

Application-focused pages showing where the framework is useful, limited, or still exploratory.

CFD: Shock Tube

L_BG-inspired shock detection and Pareto-optimized limiter blending.

QFT Amplitudes

Scheme comparisons for amplitude calculations and loop structures.

Numerical Relativity

Relativity-facing coordinate and singularity-adjacent diagnostics.

Quantum Geometry

Quantum-state geometry, metric choices, and known unitarity limitations.

Dual MOO Synergy

Combined optimization results and interaction effects.

Calculus Invariance Framework by David Youssef | Numerical Methods Research

GitHubSource CodeResults