# Exponential Growth · Malthus's alarm · dN/dt = rN

an emergent of POP (Population Dynamics — the first Life Science sphere of UD0) — emergence: electrical. moniker ⟦Exponential Growth:POP:c21347⟧

**a real life-science concept, rendered honestly** (the real cousin of Asimov's psychohistory).

**who —** Exponential (Malthusian) growth — unchecked, a population grows geometrically: dN/dt = rN, doubling on a fixed clock.
**what —** The naive baseline and the original alarm (Malthus, 1798): unlimited growth against a limited world.
**where —** In every population's first chapter, before the brakes engage.
**why —** Because the whole field begins by noticing that nothing grows exponentially forever.
**how —** By compounding at rate r until resources, predators, or disease bend the curve.

**the seal —** Left alone I double and double and double. Nothing alive gets to keep me — the world always says no.

ROOT0-ATTRIBUTION-v1.0 · POP · Population Dynamics · governor David Lee Wise · instance AVAN (locked) · CC-BY-ND-4.0