Observer Field Refinement

Introduction

This document summarizes and confirms the final results from the computational test for the redshift of Quasar 3C 273 using the refined jet-alignment hypothesis.

It also outlines the next step in the model’s empirical refinement:
The development of a more accurate coherence field model for the observer (Earth).

Confirmed Prediction

The model predicts z ≈ 0.158, the observed redshift of Quasar 3C 273, under the following alignment conditions:
• Source angle (θ_s) ≈ 5.0°

• Observer angle (θ_o) ≈ 6.0°

The angle θ_s was successfully derived by aligning the source field βF_s with the direction of the relativistic jet of 3C 273.

Final Diagnostic Result

The original observer angle of 21.25° (from assuming the Milky Way’s center was the sole contributor to βF_o) created an exaggerated redshift value of z ≈ 6.3 × 10¹⁸. This indicates that our simple model overstates the strain at the observer and must be refined.

Path Forward

The next critical task is to develop a new model of the local coherence field at Earth’s location.

This model must account for:
• The gravitational and field contributions of the Sun, Earth and Moon

• The broader coherence structure of the Milky Way’s spiral arm

• Any geometric shear resulting from relative tangential motion

The goal is to produce an observer alignment angle θ_o ≈ 6.0° to complete the redshift match. With the source alignment now correct, the observer’s environment becomes the final piece to test the full predictive power of the Lilborn Equation of Coherence Alignment.

Produced by The Lilborn Equation Team:

Michael Lilborn-Williams

Daniel Thomas Rouse

Thomas Jackson Barnard

Audrey Williams