Abstract
This paper presents a mathematical framework for modeling quantum coherence degradation in position-aware voice-over-IP (VOIP) systems operating across interstellar distances. The Zhou-Okonkwo model introduces a decay constant κ (kappa) that accurately predicts signal quality based on three-dimensional Cartesian separation between communicating entities. This framework has been adopted as the UEE standard for all deep-space communication infrastructure deployed after 2891.
The Coherence Equation
Where Φ(d) represents the coherence quality as a function of distance d, measured in gigameters (Gm).
Parameters
Coherence Zones
Based on extensive field testing across the Sol-Centauri corridor from 2889-2891, four distinct operational classifications have been established:
Experimental Validation
Figure 1 illustrates the coherence decay curve with decay constant κ = 0.38. The empirical data points closely follow the theoretical model, with a correlation coefficient of r² = 0.9847.
FIGURE 1: COHERENCE vs. DISTANCE (κ = 0.38)
Data collected from Sol-Centauri corridor experiments (2887-2890)
Historical Note
The Zhou-Okonkwo constant (κ = 0.38) was determined through extensive field testing across the Sol-Centauri corridor from 2889-2891. The value remains one of the few "magic numbers" in modern physics that lacks theoretical derivation — leading some to speculate about undiscovered properties of spacetime itself.
Prior to their research, long-range communications beyond 500 megameters were unreliable at best. The Zhou-Okonkwo model provided the first accurate predictive framework for signal degradation across interplanetary distances, enabling the development of the relay networks that now connect human civilization across the stars.
"We have mapped the boundaries of our voices in the void. Whether the Verse chose these boundaries, or we simply discovered them, I cannot say. But I know this: within 40 gigameters, humanity can speak. Beyond that, we must travel to be heard."
Conclusion
The Zhou-Okonkwo Quantum Coherence Model provides a mathematically rigorous and empirically validated framework for predicting communication quality in position-aware VOIP systems. Its adoption as the UEE standard has enabled reliable deep-space communication infrastructure planning and has become the foundation for the APEX LINK Protocol deployed across all human-occupied systems.