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APEX-ENG-2954-LNK-01
PUBLISHED
DOCUMENT ID: APEX-ENG-2954-LNK-01
PUBLISHED: 2954.06.15
AUTHORS: Dr. Yuki Tanaka, Marcus Reyes

LINK Protocol:
Relay Network Engineering Guide

A comprehensive engineering guide combining the Chen-Vasquez Mass Shadow Effect and the Zhou-Okonkwo Quantum Coherence Model for reliable interstellar communication via entangled particle arrays.

IRL NOTE: The Zhou-Okonkwo and Chen-Vasquez models described here are actually implemented in the real LINK Protocol — distance-based signal degradation and planetary occlusion work exactly as documented. The in-verse backstory and fictional authors are lore, but the math is real. LINK is currently in early access.

01. Overview

The APEX LINK protocol represents a breakthrough in quantum communication technology, enabling near-instantaneous data transmission across interstellar distances. Unlike traditional electromagnetic communication systems which suffer from light-speed propagation delays, LINK utilizes quantum entanglement to achieve zero-latency signal transfer.

LINK signal quality is governed by two foundational models:

CHEN-VASQUEZ (2874)

Defines body occlusion — celestial bodies completely block signals. Binary check performed first.

ZHOU-OKONKWO (2891)

Defines distance degradation — signal coherence decays with distance up to 40 Gm hard cutoff.

"For two centuries, we have wrestled with the tyranny of distance. Today, we must acknowledge a simpler tyrant: the rock between us and the person we're trying to reach."

— Dr. Elena Chen, Imperial Communications Symposium, 2872

02. Body Occlusion

The Chen-Vasquez Mass Shadow Effect

Before calculating distance-based degradation, LINK systems must first determine if a clear line-of-sight exists between transmitter and receiver. Celestial bodies — planets, moons, and stars — completely block quantum-entangled signals.

The Chen-Vasquez model (ISA-2874-COM-12) establishes that no electromagnetic or quantum-entangled signal can propagate through planetary mass. This creates "Shadow Zones" — regions of space from which communication with a given point is impossible without relay assistance.

Stanton System Shadow Zones

Body
Radius
Shadow Characteristics
Crusader
7,450 km
Massive shadow; Daymar-Cellin path frequently blocked
microTech
1,000 km
Moderate shadow; affects low-orbit operations
Hurston
1,000 km
Moderate shadow; moon-to-moon occlusion common
ArcCorp
800 km
Smaller shadow; dense orbital traffic mitigates

Signal Quality Calculation Order

1
Check for occlusion (Chen-Vasquez)

→ If occluded: Signal blocked, return 0% coherence

2
Calculate distance degradation (Zhou-Okonkwo)

→ Apply coherence formula based on distance

3
Return final signal quality
→ Full Chen-Vasquez Mass Shadow Effect documentation

03. The Zhou-Okonkwo Formula

Coherence Decay Function

Φ(d) = Φ₀ × [max(0, 1 - (d - λc)/(λh - λc))]κ

[ FIG 1.1: ZHOU-OKONKWO DECAY ALGORITHM ]

Parameters

Symbol
Description
Value
Φ₀
Maximum coherence
100%
d
Transmission distance
Variable (Gm)
λc
Coherence threshold
1.0 Gm
λh
Hard cutoff distance
40.0 Gm
κ
Decay exponent
0.38

The formula describes a smooth degradation curve from perfect coherence (Φ₀) at close range to zero coherence at the hard cutoff distance (λh). The decay exponent (κ) determines the rate of signal degradation within the operational range.

05. Coherence Zones

Operational Classification

Zone
Range
Coherence
Status
OPTIMAL
0 - 1 Gm
100%
FLAWLESS
NOMINAL
1 - 10 Gm
100% - 35%
OPERATIONAL
DEGRADED
10 - 25 Gm
35% - 7%
CAUTION
CRITICAL
25 - 40 Gm
< 7%
UNRELIABLE
VOID
> 40 Gm
0%
NO SIGNAL

Distance vs. Signal Quality Reference

Distance
Coherence
Audio Experience
1 Gm
100%
Perfect clarity
5 Gm
54%
Slight distortion
10 Gm
35%
Noticeable static
20 Gm
13%
Heavy degradation
40 Gm
0%
Complete loss

06. Historical Note

The theoretical foundation for LINK relay network engineering rests upon two complementary models developed at the Imperial Sciences Academy:

  • Chen-Vasquez (2872-2874): Dr. Elena Chen and Dr. Marcus Vasquez established that celestial bodies create absolute barriers to signal propagation.
  • Zhou-Okonkwo (2889-2891): Dr. Wei Zhou and Dr. Amara Okonkwo developed the mathematical framework for distance-based coherence decay.

"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."

— Dr. Wei Zhou, ISA Standardization Conference, 2891

The Chen-Vasquez model resolved the mystery of unexpected communication blackouts during the early colonization era, while the Zhou-Okonkwo model provided the predictive framework for signal quality across clear paths. Together, these models enable engineers to design reliable relay networks.

This engineering guide builds upon over eight decades of operational experience deploying LINK relay networks based on both frameworks. Today, APEX LINK systems operate in over 800 star systems, providing reliable communication infrastructure for everything from military operations to civilian commerce.

07. Signal Simulator

Interactive Coherence Calculator

01020304050
Coherence Φ(d)
96%
Signal Status
FLAWLESS
AUDIO EXPERIENCE: PERFECT - Crystal clear, zero latency
CALCULATION: Φ(5) = 100 × max[0, 1 - ((5 - 1) / (40 - 1))]^0.38 = 96%

References

  1. Chen, E. & Vasquez, M. (2872). "Electromagnetic Propagation Barriers in Planetary Shadow Zones." Proceedings of the Imperial Communications Symposium, 445-478.
  2. Imperial Sciences Academy (2874). "Standardization of the Chen-Vasquez Occlusion Detection Algorithm." ISA-2874-COM-12.
  3. Zhou, W. & Okonkwo, A. (2889). "Quantum Coherence Decay in Long-Distance Entangled Systems." Imperial Sciences Academy, ISA-2891-COM-7.
  4. APEX Engineering Division. (2947). "LINK Relay Network Deployment Guidelines." Internal Document APEX-ENG-2947-LNK-03.
  5. Tanaka, Y. (2952). "Optimizing Relay Node Placement for Maximum Coherence Retention." Applied Quantum Engineering, 18(4), 312-348.
  6. Reyes, M. & Tanaka, Y. (2954). "Field Performance Analysis of Multi-Hop LINK Networks." UEE Technical Review, 31(2), 145-178.
© 2954 APEX STARCOMM CORPORATION (Now HLN Corp)CLASSIFICATION: PUBLICDOC ID: APEX-ENG-2954-LNK-01