Interstellar: __top__ Free

For realistic ISM densities (( \sim 10^6 ) H atoms/m³), ( r \approx 0.02 ) probes/year per seed. Within 10,000 years, IF could saturate the Galactic disk. IF raises a critical ethical question: Do we have the right to seed other star systems with autonomous replicators?

[ \fracdNdt = (r - \mu)N ]

With ( r > \mu ), expansion is exponential. However, we introduce a saturation term ( (1 - N/K) ), where ( K ) is the carrying capacity of a stellar system (available raw mass). This yields a logistic expansion: interstellar free

[ N(t) = \fracK N_0 e^(r-\mu)tK + N_0(e^(r-\mu)t - 1) ] For realistic ISM densities (( \sim 10^6 )