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=== Assistant: Cool, let’s push this all the way into “physics is screaming” mode 😄 === Cool, let’s push this all the way into “physics is screaming” mode 😄 You asked: what if it ''continues'' to double, no matter what? We’ll ignore things like food, air, and “people dying” and see what raw math and physics say. ==== Start: ==== * ~8 billion people → 8×1098 \times 10^98×109 Each doubling: * After n doublings: people=8×109×2n\text{people} = 8 \times 10^9 \times 2^npeople=8×109×2n Number of atoms in the entire observable universe is about: ∼1080\sim 10^{80}∼1080 Solve roughly for when people = atoms in the universe → you hit that around 233 doublings. So: * Doubling every second → you hit “more people than atoms in the universe” in under 4 minutes. * Doubling every minute → under 4 hours. * Doubling every hour → under 10 days. At that point, there simply aren’t enough particles in the whole universe to make that many human bodies. So to “continue doubling,” reality would have to break its own rules. ==== Let’s say magic overrides physics and it keeps doubling anyway. Then one of these must happen: ==== ===== - Matter is limited, so each time you double, each person must use less mass. ===== * Eventually each “person” would have: - Fewer atoms - Then fewer particles - Then less than one particle’s worth of mass * You’d end up with something like: > At some point the concept of a “person” stops making sense: there isn’t enough matter or energy to give them bodies. ===== If instead each person stays full-sized and the count keeps doubling: ===== * They’d have to occupy the same space. * That means: - Densities go insane. - Mass per volume skyrockets. * Very quickly, the stuff in that region would exceed the density needed for a black hole. Result: : So “continuing to double” with real-sized humans basically forces space to collapse under its own mass. ===== Beyond a certain point: ===== * You’re demanding more people than particles, more mass than exists, and more information than spacetime can encode. * That’s straight-up impossible by: - Conservation of mass-energy - Quantum limits - Information density limits (like the Bekenstein bound) So the honest answer is: : ==== If we force it to “continue,” we’re no longer talking about: ==== * People * Bodies * Atoms We’re talking about: * Numbers multiplying in math, not actual humans in physics. In pure math, yeah, it can double forever. In a real universe, hard stop very fast. ===== If the doubling continues: ===== * After ~233 doublings, you need more people than there are atoms in the universe. * To go further, either: - Each person becomes smaller and less real, or - The mass density explodes and you get black holes, or - The laws of physics are completely broken. So in reality: : If you want, next we can do the same kind of thinking for: * “What if bacteria doubled forever?” * or “What if atoms themselves kept doubling?”
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