A sphere-first framework
Geometry, algebra, and computation from the sphere outward.
Spherion begins with the sphere as primitive. Instead of treating points, lines, coordinates, or decimals as the first objects, it studies zones, refinement, adjacency, probability, and motion as structural relations on a spherical whole.
Core reversal
What changes when the sphere comes first?
01
The whole precedes the part
Spherion does not build space from isolated points. It begins with a complete spherical field and then describes local structure as zones within that field.
02
Zones replace fixed coordinates
Position is represented through inclusion in overlapping, recursively refined zones. Ambiguity is not noise; it is part of the representation.
03
Computation follows structure
The operational layer studies fan-out, collapse, weighing, adjacency, and refinement as computable transformations on spherical structure.
The redesigned site
A clearer path for readers, reviewers, and collaborators.
Geometry
The conceptual foundation: sphere-first ontology, six overlapping zones, refinement, adjacency, paths, and observer-relative motion.
Read GeometryAlgebra
The symbolic layer: zone codes, fan-out, collapse, weigh, union, intersection, and probabilistic inclusion.
Read AlgebraSOS Kernel
The implementation layer: a minimal computational core for multi-resolution fields on the sphere.
View KernelGet Involved
A professional invitation for mathematicians, developers, physicists, designers, educators, and readers.
ParticipateResearch posture
Spherion should be presented online as an evolving research program: ambitious, original, open to critique, and increasingly formalized. This tone is stronger than promotional certainty because it invites serious mathematical and computational review.