Companion Paper · Cosmic Egg Theory v24
One geometry predicts four astrophysical structures across six orders of magnitude in physical scale
DOI 10.5281/zenodo.22985454The stella octangula — two interpenetrating tetrahedra — produces three primary cross-sections depending on viewing axis. From the polar axis you see an X. From the vertex axis you see a hexagon. From the equatorial plane you see nested rings.
Three views. Four structures. Zero free parameters.
The Structure
Prediction 01 · MWC 922
HD 163296 region · ~1,700 pc · infrared
MWC 922 — the Red Square Nebula — displays four symmetric arms radiating from a central stellar source. From the polar axis of the bilateral crossing, the geometry produces an X-pattern with arms at exactly 45° to the equatorial plane.
The structure had been described as remarkably square before CET provided a geometric account. The X-arm angle follows directly from the 4-fold rotational symmetry of the crossing: arms must appear at 45°, 135°, 225°, and 315° — no other values are consistent with the geometry.
Prediction 02 · Saturn
Saturn north pole · 78,000 km diameter
Saturn's north polar vortex maintains a persistent, geometrically precise hexagonal boundary — a regular hexagon stable across decades of observation. The shape had no satisfying physical account until the geometry of the bilateral crossing was applied.
Looking along the vertex axis of the stella octangula — the 3-fold symmetry axis — the projection produces a regular hexagonal outline. The apparent 6-fold symmetry of the hexagon arises from the vertex view seeing both the positive and negative tetrahedra simultaneously.
The hexagon is not an approximation. Its six sides are equal within measurement precision. The bilateral crossing, viewed vertex-on, predicts exactly this.
Prediction 03 · SN 1987A
LMC · 51.4 kpc · supernova remnant
SN 1987A presents three rings: a bright inner equatorial ring and two outer rings above and below the equatorial plane. The ratio of outer-to-inner ring radius had not been derived from first principles before CET.
The equatorial cross-section of the bilateral crossing — looking along the 2-fold axis — produces two concentric boundaries. The geometry constrains the ratio of outer to inner radius to exactly 2:1. This follows from the relative positions of the tetrahedra vertices in the equatorial plane.
Prediction 04 · η Carinae
Carina Nebula · 2,300 pc · Homunculus Nebula
Eta Carinae's Homunculus Nebula — two lobes of ejected gas formed in the 1840s Great Eruption — has long posed a problem: why do secondary structural features appear at specific angles to the bipolar axis?
CET provides a general formula. For a bilateral crossing inclined at angle i to the line of sight, secondary features appear at:
θ = arctan(1 / (cos i + sin i))
At the observed inclination of Eta Carinae (i ≈ 41°), the formula yields ±35.3° from the bipolar axis — consistent with the observed equatorial structures. The formula itself is the prediction; the angle follows from a single input: the inclination already measured from the object.
Physical Scale
The same geometric structure accounts for objects spanning from planetary storms to extragalactic supernova remnants.
None of these predictions required a parameter to be fit, tuned, or adjusted after the fact. The geometry of the bilateral crossing — two interpenetrating tetrahedra — fully determines every angle and ratio reported here. The predictions were generated before comparison with the observations in each case.
These four predictions are a subset of the 43 zero-free-parameter results in Cosmic Egg Theory v24.
No results — try a different term.