Is the golden ratio
encoded in space?

What is Phi Grid?

Project Phi Grid tests a precise, falsifiable hypothesis: that the golden ratio φ structures the geometry of natural systems at multiple scales — from Earth's surface to the stellar neighbourhood — at levels of statistical significance that cannot be explained by chance.

Three papers.
What we found.

Each result is accompanied by its p-value, dataset, and pre-registration record. Null results are reported alongside positive ones.

Only Neptune is significant.
11 anchors tested.

The most important control in this research: the same test was run identically on 11 candidate anchors spanning the solar system. Inner planets, the Sun, the heliopause, and the Oort Cloud all return null. Only the outer Neptune/Kuiper boundary is significant — both physically meaningful anchors that mark the edge of Neptune's dynamical zone.

★ Both significant anchors mark the outer boundary of Neptune's dynamical zone. Citation: Volk et al. 2019, AJ 158 64. DOI: 10.3847/1538-3881/ab2c3b

From Earth to the
stellar neighbourhood.

Open access.
Every dataset, every result.

All papers, notebooks, and pre-registrations are publicly available. Reproducibility is a core commitment of this project.

The geometry,
illustrated.

Conceptual illustrations showing the φ-ratio structure at three scales: Earth's surface, the solar system, and the extreme outer solar system boundary where the signal is detected.

Earth Paper

Planet Earth — φ-Grid Nodal Network

A 16-petal φ-ratio grid anchored at the Wilkes Land mascon overlaid on Earth's surface. The nodal intersections align with major geophysical and archaeological sites. Monte Carlo p = 0.0102. Illustration: conceptual.

Stellar Neighbourhood

Solar System — φ-Resonant Orbital Spacing

φ-ratio geometry extending from the inner solar system through the Kuiper Belt to Neptune. The research identifies Neptune's orbital radius (30.069 AU) as the anchor from which φ-shells predict stellar density peaks. Illustration: conceptual.

Anchor Specificity

Extreme Outer Solar System — The Critical Boundary

The Kuiper Cliff (~50 AU) and Neptune's dynamical zone — the only region where φ-shell anchors return statistical significance (p = 0.0285). Inner planets, the heliopause, and the Oort Cloud all return p > 0.75. Illustration: conceptual.

Scientists, journalists,
and curious minds welcome.

Whether you're a researcher interested in collaboration, a journalist covering independent science, or a member of the public with questions — reach out.