fractal-geometry • Mechanization target
PI-DST — Fractal Routing Growth Target
A DFT network family with bounded fractal growth constraints may support structured routing-depth bounds under explicit assumptions.
Assumptions
- Subnetwork sequence is explicitly defined.
- Hausdorff or box-counting dimension constraint is stated.
- Routing tree construction is specified.
- Message-depth metric is defined.
Proof Obligations
- Define subnetwork sequence.
- Prove covering bound.
- Prove routing-depth bound.
- Show assumptions are implementation-realistic.
- Separate mathematical bound from operational latency.
Claim Boundary
Formalization target. Scaling claims must remain conditional on stated assumptions and empirical implementation tests.