Emergent Lorentz effects — ideal relativistic animation

This animation is an ideal pedagogical illustration based on the exact Lorentz formulas, not on the Julia soliton solver. It is meant to show clearly what length contraction and clock slowing look like, even deep in the ultra-relativistic regime.

Rest soliton

Reference profile on a fixed ruler

Moving soliton

Tracked window, same spatial scale
Rest breathing clock
Moving breathing clock
Status distinction: this animation uses the ideal relativistic laws w(v)=w₀/γ and T(v)=γT₀. It is therefore a clean illustration of the target behaviour. The Julia simulations have a different status: they test whether your effective soliton model dynamically reproduces these Lorentzian predictions.