- ORBITAL: An analytic molecular electronic structure engine for the whole periodic table, including FeMoco.
- STRATOS: An analytic trajectory system operating across all regimes, altitudes, and speeds.
Available Online Tools:
- CIQS: A hardware-agnostic, analytic quantum circuit compilation pipeline (Mapper, Router, Optimizer) with native quDit handling. It completely eliminates heuristics, stochastic loops, tunable parameters, or objective functions; the same input consistently generates the same output. Benchmarked on the IBM Benchpress suite (892 tests), it achieved zero failures in 75 minutes on a 2019 Ryzen 5, compared to Qiskit's 17 hours and 15 minutes on a 2023 Ryzen 9. Demonstrates true proportional scaling on linear topologies, compiling 1,000,000 qubits in 93.4 seconds. Ready for production. Free download on GitHub for non-commercial use.
- CIQA: A hardware-agnostic, analytic 1:5 ratio Quantum Error Correction code (based on data qubits) with zero free parameters. It is production-ready, providing full Pauli correction at computational depth during active computation on real hardware. Validated on an uncalibrated IBM Heron r2 layout, it demonstrated a mean fidelity improvement of +0.832 over an unprotected qubit under X error. Paired with CIQS, it successfully ran the deep Hayden-Preskill black hole circuit on quantum hardware, publishing the first empirical data past the Page time. Ready for production. Free online version on arcadialab.fr.
- CASIMIR: An analytic QCD phase diagram calculator for SU(3), Nf = 3. It delivers: Phase boundary Tc(μB), Phase boundary curvature derivatives χ̂₂(μB), χ̂₄(μB), Saddle node terminus analysis (CEP exclusion), Glueball mass spectrum, Dense matter onset boundary, Collider beam energy (μB, Tch, Tc) conversion. Key results: κ₂ and κ₄ match Borsanyi+ 2020 fitted values within the quoted lattice uncertainties, Reconstructed Tc(μB) matches Borsanyi+ 2020 direct Tc points to within 0.15σ at μB = 100, 200 MeV, Phase boundary terminates at μB* = 421.88 MeV, T* = 113.58 MeV in a saddle node bifurcation, No critical endpoint: χ̂₂ and χ̂₄ remain finite at the terminus, Falsifiable prediction: κ₂ₙ = 0 exactly for all n ≥ 4. Instant, no lattice simulations, no Monte Carlo. Ready for production. Free to use on arcadialab.fr & indexed by INSPIRE-HEP.
- CASCADE: An analytic Turbulence Spectrum calculator. Give it three numbers (turbulent velocity u', length scale L, viscosity v) and it instantly returns:, The complete energy spectrum E(k), Structure functions S2 and S3, including the exact 4/5 law, All cascade scales (Kolmogorov length, injection and dissipation wavenumbers), Reynolds numbers Re and Re_lambda. The Kolmogorov constant is derived analytically, not fitted. Validated against DNS from five independent groups spanning Re_λ = 240 to 1201. Ready for production. Free to use on arcadialab.fr.
- DYNAMO: An analytic MHD plasma analyzer. This tool takes 8 inputs and directly computes the complete set of MHD properties without any approximations. DYNAMO has been validated against 16 benchmarks from 3 separate references: Solar wind data at 1 AU, Solar corona reference values, ITER design parameters. DYNAMO requires no simulations, no tuning, and no free parameters. Ready for production. Free to use on arcadialab.fr.
Other Projects:
- ALKM: An Analytic Local Kernel Machine. Fit O(N log N), Pred O(log N). Processes the full 11M Higgs dataset in 15 minutes at 0.71% accuracy (10M fit, 1M pred), dominates CC18 in overall efficiency against SVM and RF, and runs MNIST in ~60s at 0.98%+.
- Advanced systems in superconductivity and standing waves (not public).