The Hopfion Zoo ​

Milestone archive. These specimens were measured on the earlier single-spin prototype engine (planck3.c): real, stable eigenstates of that substrate, whose kinematics were later found to be an alternate discrete universe (matter permanently at v=0). The active engine is moore26, documented in moore26 Findings; the meso3i record is archived in the monograph.

Every specimen in this carousel is a measured eigenstate of the prototype substrate: a closed loop geometry that survived 400 ticks of the True FCC engine's ambient metabolism with constant mass. They are not artist impressions: each point is a live lattice cell from the actual dictionary run, colored by its tension register.

Drag to orbit. The carousel is ordered by invariant mass, the knots get heavier, not bigger.

• Mass: total quanta held in the stable state (up to ~9M for the heavyweights).
• Loops: closed streamlines the pathfinder wound into the torus.
• r=(xy, z): rMS cross-sectional radius: the knot's waist and thickness in lattice cells.