Seems like an update to the Fermi Paradox if I follow correctly, an attempt at calculating a probability for life on other planets, and it's not optimistic:
Kipping D & Lewis G
(2024). "Do SETI Optimists Have a
Fine-Tuning Problem?"
International
Journal of Astrobiology
1Department of Astronomy, Columbia University, 550 W 120th Street, New York, NY 10027, USA
2Sydney Institute for Astronomy, School of Physics, A28, The University of Sydney, NSW 2006, Australia
Abstract
In ecological systems, be it a petri dish or a galaxy, populations evolve from some initial value
(say zero) up to a steady state equilibrium, when the mean number of births and deaths per unit
time are equal. This equilibrium point is a function of the birth and death rates, as well as the
carrying capacity of the ecological system itself. The growth curve is S-shaped, saturating at
the carrying capacity for large birth-to-death rate ratios and tending to zero at the other end.
We argue that our astronomical observations appear inconsistent with a cosmos saturated with
ETIs, and thus SETI optimists are left presuming that the true population is somewhere along
the transitional part of this S-curve. Since the birth and death rates are a-priori unbounded,
we argue that this presents a fine-tuning problem. Further, we show that if the birth-to-death
rate ratio is assumed to have a log-uniform prior distribution, then the probability distribution
of the ecological filling fraction is bi-modal - peaking at zero and unity. Indeed, the resulting
distribution is formally the classic Haldane prior, conceived to describe the prior expectation of a
Bernoulli experiment, such as a technological intelligence developing (or not) on a given world.
Our results formally connect the Drake Equation to the birth-death formalism, the treatment of
ecological carrying capacity and their connection to the Haldane perspective.
Paper:
https://drive.google.com/file/d/1OxsjoOm8yJA7V3Yn_qt_sKshX8EYGT9U/edit