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Other literature type . 2026
License: CC BY NC ND
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY NC ND
Data sources: Datacite
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A Scale-Invariant Geometric Threshold for Photonic Transmission: Deriving the Exact Optical Attenuation Limit via Spatial Propagation Dynamics

Authors: John Drayton;

A Scale-Invariant Geometric Threshold for Photonic Transmission: Deriving the Exact Optical Attenuation Limit via Spatial Propagation Dynamics

Abstract

The global expansion of high-capacity optical networks is fundamentally bottlenecked by signal attenuation and chromatic dispersion, forcing reliance on empirically spaced Erbium-Doped Fiber Amplifiers (EDFAs). Current network architectures utilize probabilistic Bit Error Rate (BER) margins and Shannon-Hartley capacity estimates to predict signal degradation, often resulting in hardware over-expenditure and unpredictable packet loss. This paper introduces a deterministic topo-dynamical framework for photonic transmission. By modeling the coherent propagation of the optical wave packet as a continuous spatial expansion operator competing against the localized structural decay of Rayleigh scattering, we derive a scale-invariant geometric threshold (Λ∗). We mathematically demonstrate that this invariant defines the absolute physical maximum unamplified transmission distance. By integrating this continuous limit into existing Software-Defined Networking (SDN) controllers as a firmware-level active routing algorithm, we outline a generalized, parameter-free methodology for achieving maximum-efficiency, zero-packet-loss transmission in global optical networks.

Keywords

Erbium-Doped Fiber Amplifiers (EDFA), Topological Dynamics, Rayleigh Scattering, Signal Attenuation, Firmware-Level Routing Algorithm, Optical Fiber Transmission, Recirculating Fiber Loop, Optoelectronics, Software-Defined Networking (SDN), Bit Error Rate (BER)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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