A joint analysis of the Drake equation and the Fermi paradox
Nikos Prantzos (Institut d'Astrophysique de Paris, Universite P. et, M. Curie)

TL;DR
This paper introduces a unified, quantitative framework combining the Drake equation and Fermi paradox, suggesting galaxy colonization by long-lived civilizations as the key to understanding extraterrestrial life.
Contribution
It presents a simplified model for analyzing both the Drake equation and Fermi paradox simultaneously, highlighting conditions for the paradox's validity.
Findings
Galaxy colonization is the only way to learn about extraterrestrial life for long-lived civilizations.
Defines a parameter space region where the Fermi paradox necessarily holds.
Provides a quantitative basis for the Strong Fermi paradox.
Abstract
I propose a unified framework for a joint analysis of the Drake equation and the Fermi paradox, which enables a simultaneous, quantitative study of both of them. The analysis is based on a simplified form of the Drake equation and on a fairly simple scheme for the colonization of the Milky Way. It appears that for sufficiently long-lived civilizations, colonization of the Galaxy is the only reasonable option to gain knowledge about other life forms. This argument allows one to define a region in the parameter space of the Drake equation where the Fermi paradox definitely holds (Strong Fermi paradox).
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