Active
Boost-agnostic mechanics · kinetic theory · optimisation
Exotic dynamics and search
We study particles whose velocity need not be proportional to momentum and ask what can be gained by treating the dispersion relation itself as a design variable. The programme runs from boost-agnostic Hamiltonian and kinetic theory to hard-particle simulations, first-passage search in mazes and dispersion-engineered optimisation algorithms.
Research questions
What we are trying to understand
How do non-quadratic dispersions change equilibration, collisions and transport in an interacting gas?
Can changing only the free-particle dynamics improve exploration or first-passage performance after matching energy, speed and time scales?
Can dispersion engineering provide an optimisation control that cannot be reduced to standard particle-swarm parameters or coordinate redefinitions?
Programme strands
What is currently in this programme
- Numerical Lifshitz / boost-agnostic hard-particle gas
- Dynamics-engineered maze and first-passage search
- Dispersion-engineered particle swarm optimisation
Why it matters
Impact and connections
This programme connects foundational mechanics without boost symmetry to reproducible numerical experiments and computational search. A successful result would turn microscopic dynamics into a controllable ingredient rather than a fixed background assumption.