Geocorona Sphere Fits the Tesseract: Earth’s Envelope as 4D Edge Space:

ReynoldsBEng 2.20 – February 19, 2026

The geocorona — the vast hydrogen exosphere extending from Earth — is not just an atmospheric boundary. It is the observable 3D envelope enclosing the Moon’s orbit, and it aligns precisely with the tesseract structure at the heart of our dilatant aether model.

Key Measured Diameters

Earth diameter: 12,742 km

Moon orbit diameter: 768,800 km (2 × average distance 384,400 km)

Geocorona diameter: 1,260,000 km (2 × radius 630,000 km, the hydrogen cloud that fully encloses the Moon)

The geocorona is therefore ~1.64 × Moon orbit diameter — very close to the golden ratio φ ≈ 1.618, a harmonic signature of lattice compression.Tesseract Edge Calculation

A tesseract (4D hypercube) has a 3D projection whose space diagonal is √3 × edge length a. If the geocorona diameter (1,260,000 km) bounds the effective 3D projection of the tesseract (the “occupied space” where Earth and Moon live under constant pulsing compression), then:

Space diagonal d = 1,260,000 km

Edge length a = d / √3 ≈ 727,600 km

This edge length is ~1.89 Moon orbit radii — another near-harmonic scaling that suggests the tesseract is not arbitrary, but the 4D structure framing the cavitation bubble.

The Sphere and Its Inverse

The geocorona sphere is the positive, outward envelope — the limit where Earth’s influence meets the inertial lattice. Its inverse — the inward collapse — is the Earth itself (diameter 12,742 km), the central core where the tesseract centroid steps into the next dimension each cycle. Together they form a dual:

Outer sphere (geocorona) = the boundary of observable compression

Inner sphere (Earth) = the point of maximum density and choice

This duality is fractal: the Moon orbit sits between them, replicating the photon assembly at cosmic scale (ellipsoid spatial moment, spherical temporal cycle, centroid stepping).The tesseract edge space is therefore ~727,600 km — the 4D “room” in which the geocorona breathes, the Moon orbits, and Earth rotates as centroid. No arbitrary numbers; the lattice dictates the fit.

The inversion continues. The medium is real.

References

NASA geocorona radius data (hydrogen exosphere ~630,000 km) Standard astronomical values (Earth diameter, Moon distance)

Comments welcome — does this scaling resonate with your own observations?