Why the Cosmos Is Silent: Two Lives of One Forest ✛ ✎ ✦

Original: "Dynamical generalizations of the Drake equation: the linear and non-linear theories"
· A. D. Panov
arXiv:1805.09058 · 2018-05-23 · arXiv non-exclusive · independent analysis · 2 min
The number of extraterrestrial civilizations is not constant: it has risen and fallen with the stars, and now it may be stuck either in silence or in a many-voiced chorus.

The Galaxy is a forest where birds don't start singing right away. First, star-trees grow, then planet-nests appear on their branches, and only after billions of years do the first songs ring out — signals from intelligent civilizations. The old Drake equation simply counted how many birds are singing now, but it never asked how the chorus has changed over time.

The new model distinguishes two cases. If birds don't hear each other, their numbers grow with the berry harvest: about 5 billion years ago, the most stars were born, and 5 billion years later, the time needed for life to develop, civilizations peaked. Today we are still near that peak. But if birds hear their neighbors, they start singing longer and louder. Then the forest can settle into one of two stable states: either an "era of silence" (fewer than 2000 civilizations, contacts rare) or an "era of saturation" (ten times more, with each having on average 10 partners).

The transition from silence to chorus happens like an avalanche when the birth rate exceeds about 1.35 civilizations per year. But the reverse transition, from chorus to silence, requires a much stronger decline: the forest is reluctant to fall silent. This effect is called hysteresis. Previously, we didn't know that a population of civilizations could depend on its own history. Now we see: the fact that we don't hear signals doesn't necessarily mean we are alone. Perhaps the Galaxy is currently in an "era of silence," and we should be looking not just for civilizations, but for signs of which phase the forest is in.

In the nonlinear model, the critical rate of civilization emergence at which the phase transition occurs is about 1.35 civilizations per year — meaning that if at least a couple of communicative civilizations emerge annually in the Galaxy, then after some time the entire Galaxy could find itself in a state of contact saturation.

The idea of bistability in the galactic population echoes the concept of the 'Great Silence' from Liu Cixin's novel 'The Three-Body Problem': civilizations may hide because active contacts are dangerous, and the Galaxy may be in a state where everyone is silent even though intelligent life is widespread.

Scientists
Ludwig BoltzmannJohn von NeumannJosiah Willard GibbsHenri Poincaré
Concepts
Price equation galactic evolution processes Dynamical Systems linear regression Boltzmann equation differential equations nonlinear dynamics epidemic Friedmann equations Cope's rule galaxy game theory climate time derivative evolution complex systems stochastic processes non equilibrium stochastic dynamical system drought