Nassim Nicholas Taleb explores the Lindy Effect by modeling it as a stochastic process involving Brownian motion and an absorbing barrier. The author defines the force of mortality, or hazard rate, as the instantaneous probability of reaching this terminal threshold, illustrating how survival is linked to a path's distance from extinction. By analyzing processes with and without drift, the research demonstrates that while a driftless process eventually aligns with a power law distribution, any amount of negative drift causes the system to exit the Lindy category. The text further applies these mathematical frameworks to human longevity, questioning whether aging eventually plateaus for supercentenarians as they reach a state of flat mortality. Ultimately, the work uses probability theory and the reflection principle to provide a rigorous foundation for why certain entities gain life expectancy as they persist over time.