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Cinema Fiction vs. Physics Reality - Ghosts, Vampires, and Zombies

We will ignore the human mortality and birth rate for the time being and only concentrate on the effects of vampire feeding. On February 1, 1600, one human will have died and a new vampire will have been born. This gives two vampires and 536,870,911–1 humans. The next month, there are two vampires feeding, thus two humans die and two new vampires are born. This gives four vampires and 536,870,911–3 humans. Now on April 1, 1600, there are four vampires feeding and thus we have four human deaths and four new vampires being born. This gives us eight vampires and 536,870,911–7 humans.

By now, the reader has probably caught on to the progression. Each month, the number of vampires doubles, so that, after n months have passed, there are
2323 . . . 32=2n,
n times
vampires. This sort of progression is known in mathematics as a geometric progression—more specifically, it is a geometric progression with ratio two, since we multiply by two at each step. A geometric progression increases at a tremendous rate, a fact that will become clear shortly. Now, all but one of these vampires were once human, so that the human population is its original population minus the number of vampires excluding the original one. So after n months have passed, there are
536,870,911–2n+1
humans. The vampire population increases geometrically and the human population decreases geometrically.

So we’re either all vampires or there are no vampires. The authors also explain why the physical laws of motion and force would prohibit the existence of  immaterial ghosts.

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