Toward a Structural Description of Zero-Point Fluctuations: Quantitative Extensions to Stochastic Electrodynamics

Abstract

This work presents a structured mathematical extension to Setterfield-based formulations

of stochastic electrodynamics (SED). Several unresolved structural gaps within

existing interpretations are identified, including the absence of explicit relations governing

fluctuation pair density, spatial scale, and temporal persistence.

Using electromagnetic mode density relations as a foundation, differential population

functions are derived to establish quantitative descriptions of fluctuation structure.

Additional scaling relations are introduced to describe spatial dimensions, temporal

lifetimes, and boundary-driven spectral redistribution.

The resulting framework transforms qualitative conceptual models into explicit

functional representations capable of supporting further theoretical development and

experimental evaluation.

All relations introduced herein are presented with clearly stated assumptions and

identified unknown parameters, establishing a transparent basis for future refinement.

Addressing_Unresolved_Quantitative_Gaps_in_Setterfield_Based_Stochastic_Electrodynamics_PD.

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