K-binding creates dimension. Not statistically — structurally. A relation between two things MUST sit off their line, or it isn't a relation at all.
| CLAIM | AXIOM | CONVENTIONAL |
|---|---|---|
| Why 3+1 dimensions? | K=3 spatial closures + sigma=1 temporal = K+sigma=4 | Anthropic principle / "just is" |
| How dimensions emerge | K-binding off-axis position → new dimension structurally | Compactification from 10/11D (string theory) |
| Equilateral attractor | 1/3 + 1/3 + 1/3 = sigma. Maximum symmetry = minimum energy | No equivalent derivation |
| Dimension limit | K+sigma=4: beyond this, no structural need | Extra dimensions assumed, compactified away |
| Role of variance | Dynamics (which closures form), not existence | Quantum fluctuations create spacetime foam |
Source: dimension.c (archive). K-binding position search, distribution attractor, dimension cascade, equilateral emergence. All computed, no assumptions.
Standard view: We live in 3 spatial dimensions. Why 3? Nobody knows. It might be anthropic.
Axiom view: K=3 is the closure constant. Three strands braid. Three points triangulate. K-binding energy converges to 1/K at all scales. Three dimensions isn't a coincidence — it's the minimum for closure.