Tools & Code
Interactive simulators and Python implementation for exploring Non-Newtonian Calculus numerical methods.
NNC Singularity Challenge
Run real physics simulations in your browser. Watch NNC outperform classical methods at singularities. Side-by-side comparison of crack tip fracture, turbulence, and more.
Singularity-Skirting Tools
CASCADE enables access to "danger zones" near physics singularities. Use k=-1 (bigeometric) for 1/r singularities. 61.9% win rate, 93.4% best improvement.
View CASCADE singularity results →Interactive Tools
Framework Calculator
Use the k(L) pattern to find optimal calculus parameters for your problem scale. Includes worked examples from QCD to cosmology.
Scheme Invariance
Visualize how observables change under generator transformations. Inspired by tensor invariant theory.
Scheme-Invariance Simulations
Interactive visualizations of scheme-invariance tests across QFT renormalization, Kramers-Wannier duality, Wheeler-DeWitt ordering, chiral anomalies, PDE schemes, and quantum state geometry.
Parameter Explorer
Explore Pareto frontiers, parameter spaces, quantum compatibility, and multi-calculus diffusion.
Source Code
Complete Python library: generators, derivatives, scheme-robust operators, and MOO integration.
Scheme Analysis Modules
Advanced tools for detecting scheme-breaking, transforming between calculi, and extracting robust observables.
scheme_breaking_detector.py
Detect when bigeometric substitution fails
detect_scheme_breaking(tensor, formulation)scheme_morphism.py
Transform between calculus schemes
SchemeMorphism(alpha1, beta1, alpha2, beta2)scheme_robust_observables.py
Extract quantities invariant across schemes
extract_invariants(data, scheme_ensemble)quantum_number_schemes.py
Scheme analysis for quantum numbers
verify_quantum_compatibility(scheme)Amplitude Calculation Framework
Scattering amplitude framework demonstrating scheme invariance across calculation methods. Connected to Symanzik improvement program in lattice QCD.
bcfw.py
BCFW on-shell recursion for n-point amplitudes
BCFWRecursion.compute_amplitude(momenta, helicities)feynman.py
7 topologies: tree, 1loop, 2loop, box, triangle, bubble, tadpole
create_diagram_graph(n, topology)spinor_helicity.py
Weyl spinors and helicity brackets
WeylSpinor.from_momentum(p_mu)scalar_integrals.py
Loop integrals with dilogarithms
box_integral(s, t, epsilon)