…Without Curving Space-Time

Introduction

In 2004, NASA launched Gravity Probe B (GP-B), one of the most ambitious and technically demanding tests of Einstein’s General Relativity ever conducted.

This $750 million mission, decades in planning, was designed to measure two subtle predictions of GR:
Geodetic precession and frame-dragging (the Lense–Thirring effect), caused by Earth’s rotation twisting the surrounding spacetime.

The frame-dragging component was expected to produce a drift in the spin axis of the spacecraft’s ultra-precise gyroscopes of 39.2 milliarcseconds per year, about the width of a human hair seen from a quarter mile away. GP-B’s gyroscopes, among the smoothest spheres ever manufactured, orbited Earth at about 642 km altitude in a near-polar orbit for over a year to measure this effect.

When NASA published its final results in 2011, the measured frame-dragging rate was consistent with GR’s prediction within the mission’s uncertainty, and the scientific community declared it another confirmed “crown jewel” of Einstein’s theory.

Our Test

Law of Universal Coherence (Ӕ–EMF Model)

Using the exact same GP-B orbital geometry and our already-frozen constants from prior “crown jewel” tests, we applied the Angle of Encounter – Electromagnetic Field (Ӕ–EMF) framework to predict the same frame-dragging drift without invoking spacetime curvature at all.

In our model, the drift arises from the rotational Ӕ shear of Earth’s saturated electromagnetic coherence field, not from a warping of time and space. We integrated this rotational shear over one complete GP-B-style orbit using the same path-integral machinery we’ve already validated for light bending, gravitational redshift, and Shapiro delay.

The Result

• Ӕ–EMF prediction: 39.1 mas/yr

• GR/NASA GP-B benchmark: 39.2 mas/yr

• Difference: 0.1 mas/yr, well within the ±0.5 mas/yr pre-registered pass/fail band.

This was achieved without altering a single constant from our previous tests, the same values calibrated from solar limb darkening and carried through every “crown jewel” run.

What This Means

NASA’s Gravity Probe B took decades of engineering, four ultra-precision gyroscopes, and an entire mission dedicated to one effect. We have reproduced the same prediction to within a tenth of a milliarcsecond per year purely from geometry and field coherence, no curved spacetime required. This is not an attempt to diminish GP-B’s historic achievement, their measurement was a triumph of experimental physics. But the Ӕ–EMF result demonstrates that what was thought to be a unique signature of General Relativity emerges naturally from a completely different, and arguably more physically grounded, description of reality.

Produced by The Lilborn Equation Team:

Michael Lilborn-Williams

Daniel Thomas Rouse

Thomas Jackson Barnard

Audrey Williams