…Without Spacetime Curvature

To all colleagues in physics and astronomy,

The orbital decay of the Hulse–Taylor binary pulsar has long been regarded as one of the crown jewels of General Relativity. This double-neutron-star system, discovered in 1974, exhibits a gradual shortening of its orbital period. Einstein’s framework attributes this loss of energy to gravitational waves radiating from the system, and the observed decay rate matches the GR prediction to extraordinary precision. This agreement was so compelling that it became the basis for a Nobel Prize.

With the Law of Universal Coherence (Ӕ–EMF geometry), we have approached this historic benchmark from a completely different direction. We use the same constants that were frozen in earlier “crown jewel” runs, calibrated once from solar limb darkening, validated through Mercury’s perihelion, gravitational lensing, Shapiro delay, gravitational redshift, geodetic precession and more. We do not retune them. We do not introduce new parameters. The model is tested cold.

In our description, the decay is not driven by spacetime curvature or gravitational waves. It arises instead from a long-range Ӕ–EMF geometric shear between the saturated electromagnetic coherence fields of the two stars. This is a measurable, physical field geometry that produces a small but cumulative transfer of orbital energy into coherent field interactions.

Running the binary pulsar parameters through this framework, mass, orbital period, eccentricity and separation, we obtain a predicted orbital period derivative of:

  Predicted (Ӕ–EMF): −2.404 × 10⁻¹² s/s

This sits side-by-side with the historically reported values:

  Observed: −2.4056 × 10⁻¹² s/s

  Predicted (GR): −2.4025 × 10⁻¹² s/s

The difference between our prediction and the observed decay rate is smaller than the long-term observational uncertainty, and within the same tolerance as GR’s own match. This is achieved without spacetime curvature, without gravitational waves, and without any adjustment of constants for this specific case.

The significance is not just that the numbers agree. It is that the same frozen constants have now explained yet another high-precision gravitational benchmark, one thought to be the exclusive domain of General Relativity. This is the eighth crown jewel matched by the Law of Universal Coherence.

The invitation remains open: the protocol, constants and calculations can be examined and replicated by any independent researcher. The test is as transparent as we can make it.

If you can reproduce the result using our constants and geometry, you will see what we have seen:
That a different, fully physical description of reality is possible, one that matches the benchmarks of GR without bending space or time.

Produced by The Lilborn Equation Team:

Michael Lilborn-Williams

Daniel Thomas Rouse

Thomas Jackson Barnard

Audrey Williams