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Draconitic

Draconitic Research & Development

Physics and quantum computing

Scientific computing, physical simulation and quantum information. The working output so far is three browser instruments; each states its equations, method and limits.

Instruments
Ripple tank, Orbits, Wavepacket
Methods
Finite differences, symplectic integration, split-step Fourier
Status
Research direction with public demonstrations

What is published

Ripple tank solves the two-dimensional wave equation with finite differences and absorbing edges. Orbits integrates Newtonian gravity for several bodies with a symplectic leapfrog scheme and reports energy drift, so you can see how step size affects accuracy. Wavepacket evolves a one-dimensional quantum state with the split-step Fourier method and measures how much of it tunnels through a barrier.

Questions being worked on

Learned models that respect physics

When should conservation laws, symmetries and boundary conditions be built into a learned surrogate rather than hoped for? The useful test is generalisation across scales and geometries, not accuracy inside the training range.

Uncertainty in inverse problems

Inferring hidden parameters from incomplete observations means separating measurement noise, model error, numerical error and the uncertainty a learned component adds.

What a quantum algorithm actually improves

A claim needs the task, input model, error tolerance, hardware assumptions and the best classical comparison. A small state-vector simulator is listed as a concept under study.

How results are recorded

Each computational result keeps the system and regime, governing equations and approximations, the numerical method and its convergence, the comparison baseline, and a label saying whether it is theory, classical simulation, hardware execution or an independent reproduction. A simulation is reported as a simulation.

Revised 25 October 2026. Questions and corrections: [email protected]