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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

Proof

Symbolic, numerical, and negative-result evidence for the parts of the framework that hold.

Symbolic Verification

Algebraic checks for power laws, tensor transformations, and corrected bigeometric identities.

GUD Benchmarks

Benchmark suite and practical limits for composite calculus experiments.

Negative Results

Known failures and falsifications, including cosmology and unitarity limits.

Spectral Gap Verification

Numerical verification reports and invariant checks.

Calculus Invariance Framework by David Youssef | Numerical Methods Research

GitHubSource CodeResults