φ-Hierarchical Ground Anchor Architecture for Space Elevator Systems: One Derived Result (N=3) and Three Pre-Registered φ-Scaling Conjectures

φ-Hierarchical Ground Anchor Architecture — Honest-Framing Revision. This revision distinguishes one derived result from three conjectures. PA1 (N = 3 anchors, equilateral) is genuinely derived — standard planar statics requires three non-collinear supports for a stable base. The earlier “Ostrogradsky stability” justification is withdrawn as a misapplication (that theorem concerns higher-derivative dynamics, not static redundancy), and “N = 3 = F(4)” is noted as a coincidence, not evidence for φ. PA2 (circumradius = φ·R), PA3 (foundation depth = φ²·R), and PA4 (per-node mass, φ safety factor) are pre-registered CONJECTURES motivated by analogy, not derived from anchor mechanics, awaiting FEA and geotechnical testing. The φ safety factor is noted as an admissible choice, not a forced value, since redundancy requires only a factor ≥ 1.5. All numbers unchanged.