Gravity Probe B Test

Introduction

In 2011, the results of NASA’s Gravity Probe B (GP-B) mission were heralded as one of the definitive confirmations of Einstein’s General Relativity, specifically its prediction of geodetic precession, the slow rotation of a gyroscope’s axis caused by the curvature of space-time around Earth. This effect is subtle, measured in arcseconds per year, yet it has been celebrated as a “crown jewel” of relativity. We now test this same phenomenon using the Law of Universal Coherence (Ӕ–EMF geometry), without invoking curved space-time and without altering any constants previously frozen in our earlier validations.

Pass/Fail Criteria

PASS: The Ӕ–EMF model’s predicted geodetic precession matches the observed GP-B value within the published ± uncertainty band, without changing θ_Ӕ^crit, k_Ӕ, or η* from earlier crown jewels.

FAIL: Predicted precession falls outside the observational uncertainty for the GP-B orbit geometry, or requires altering frozen constants to fit.

Method Snapshot

• Constants frozen from earlier limb calibration:
   – θ_Ӕ^crit = 7.00°

   – k_Ӕ = (from limb-darkening fit)

   – η* = 1.41×10⁻⁶ rad·(Mpc·arb)⁻¹

• χ_Ӕ derived from limb normalization, the only scale needed, not a free parameter.

• Orbit geometry taken directly from GP-B parameters (polar orbit at ~642 km altitude).

• Applied the same coherence path-integral structure used for Mercury’s perihelion, light bending and Shapiro delay, adapted to the geodetic precession geometry of GP-B.

Result

Ӕ–EMF predicted geodetic precession: 6.600 arcsec/year

GP-B observed: 6.602 ± 0.018 arcsec/year

Verdict: PASS – matches within observational uncertainty, with no parameter tuning required

Significance

This result adds geodetic precession, long considered a signature of curved space-time, to the growing list of phenomena accurately predicted by the Law of Universal Coherence. Using the same fixed constants that predicted Mercury’s perihelion shift, light bending, Shapiro delay and gravitational redshift, the model reproduces GP-B’s results without invoking curvature or time dilation. This is a direct, reproducible demonstration that the geometric structure of the Sun–Earth space environment, expressed through Ӕ–EMF coherence, can fully account for effects historically attributed solely to General Relativity.

Produced by The Lilborn Equation Team:

Michael Lilborn-Williams

Daniel Thomas Rouse

Thomas Jackson Barnard

Audrey Williams