Fringes in the double slit were complex numbers starting at -1 and landing on a final panel at 0. The final panel is at half a mathematical sphere.
3D number example: 2.65 + 3.58i + 9.79j
Coherent waves are complex numbers being projected/mapped from a mathematical sphere to a circle.
Quaternion spheres are for spacetime. Coherent waves don't have access to spacetime so they are one step down. Quaternion example: 3.23 + 8.46i + 2.64j +3.38k. That extra number is the difference between coherence and decoherence.
Could every wave collapsed atom be a quaternion sphere? Could black holes be generating enlarging quaternion spacetime spheres and atoms have to be inside it to wave collapse into mini quaternion spheres?