
This record contains two notebooks comprising the stellar neighbourhood analysis component of Project Phi Grid. NOTEBOOK 1 — Section 13 (original exploratory analysis): φ-ratio shells anchored at Neptune (30.069 AU) are tested for alignment with stellar density peaks in the RECONS/Hipparcos 58-system catalog within 20 light-years. KDE with bandwidth 0.8 ly and volume correction detects 4 peaks at 4.43, 11.90, 15.06, and 19.20 ly. 3/4 shells align within ±0.5 ly. p=0.0285 vs random geometric progressions, p=0.0314 vs random positions (Monte Carlo N=100,000). Anchor specificity test: of 11 solar system anchors tested, only Neptune (30.069 AU) and the Kuiper Belt outer edge (~50 AU) return p0.75. NOTEBOOK 2 — Section 13 Extended (80-system replication & new tests): Four pre-planned tests on the complete verified RECONS TOP100 80-system catalog with full 3D coordinates (RA/Dec/distance from SIMBAD/Hipparcos). Test A — φ×Neptune coincidence: φ × 30.069 AU = 48.653 AU, within 2.69% of the Kuiper Cliff (50 AU). p=0.0158 at ±1% threshold, p=0.0456 at ±3% threshold (Monte Carlo N=100,000 random solar system anchors). Neptune sits at the 4.2nd percentile of random anchors. Not previously noted in planetary science literature. Test B — Ripley's L(r) 3D spatial clustering: Full 3D Ripley's K-function with 999 CSR simulations. Result: all φ-shells within CSR envelope. No significant 3D clustering excess detected at shell positions on the 80-system catalog. Test C — Angular isotropy on φ-shells (corrected methodology): KS test on sin(Dec) vs Uniform(-1,1) and RA vs Uniform(0,360). Shell 11.402 ly: p_RA=0.666, p_Dec=0.831. Shell 18.448 ly: p_RA=0.537, p_Dec=0.907. Both shells isotropic — no moving group contamination or projection artifact. Test D — KDE shell alignment replication: 2/5 shells matched within ±0.5 ly. p=0.243 vs random positions, p=0.161 vs random progressions. Bandwidth sensitivity stable at 0.5–1.0 ly, collapses at 1.2+ ly. Pre-registration: OSF osf.io/a72fp (registered 25 March 2026 before data access). Earth paper: Zenodo DOI 10.5281/zenodo.19035389. Source catalog: Henry et al. RECONS TOP100, recons.org/TOP100.
Physics, Astronomy, phi ratio, golden ratio, stellar density, solar neighbourhood, RECONS, Neptune, Kuiper Belt, Ripley K-function, KDE, shell alignment, spatial statistics, pre-registered, Project Phi Grid, Solar astronomy
Physics, Astronomy, phi ratio, golden ratio, stellar density, solar neighbourhood, RECONS, Neptune, Kuiper Belt, Ripley K-function, KDE, shell alignment, spatial statistics, pre-registered, Project Phi Grid, Solar astronomy
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