Note on the luminosity distance
Edward Malec, Grzegorz Wyl\c{e}\.zek, Janusz Karkowski

TL;DR
This paper re-derives the relationship between areal and luminosity distances using classical Maxwell theory under geometric optics assumptions, providing a theoretical foundation for understanding cosmic distance measures.
Contribution
It offers a novel derivation of the luminosity distance formula within classical electromagnetism, emphasizing a purely theoretical approach.
Findings
Derived the luminosity distance formula using Maxwell theory
Connected geometric optics assumptions to cosmological distance measures
Provided a classical physics perspective on luminosity distances
Abstract
We re-derive a formula relating the areal and luminosity distances, entirely in the framework of the classical Maxwell theory, assuming a geometric-optics type condition.
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