Mode: Science (Σ-clean)
Primary Frame: Transported observational frames
1. The Circle Illusion
Circles are commonly treated as nature’s preferred shape. This belief survives because circles appear frequently in observation, not because they are frequently produced.
2. A Perfect Circle Is an Extreme Constraint
A true circle requires constant curvature, isotropy, and zero shear under transport. Any gradient, dissipation, or frame acceleration destroys it. Such conditions are rare and unstable.
3. What Nature Actually Produces
Nature produces spirals, ellipses, drifting fronts, and broken arcs. These are the natural signatures of transport under constraint, not idealized closure.
4. The Observer Carries the Circle
When an observer transports a frame while sampling a propagating process, closure is imposed by the frame. What survives projection is not the trajectory, but the closure residue.
5. Ripples Are Not Circles
Water does not move in circles during a ripple. Parcels oscillate, energy propagates, and phase advances. The circle exists only as a contour of equal phase in a chosen frame.
6. Orbits Are Not Circles Either
Real orbital motion includes precession, drift, and non-closure. Circular orbits persist in pedagogy because they close cleanly in rotating frames, not because they are natural.
7. The Inertia Position
Circles are observational artifacts — the default residue left when transport history is discarded. Geometry is projected, not preferred.