The Schwarzschild radius of an electron is calculated to be 1.353*10^-57m, leading to confusion when determining its volume using the formula for a sphere. The resulting volume calculation yields a value so small that it approaches zero, which can cause arithmetic underflow on calculators. This issue arises from misunderstanding operator precedence in exponentiation. Despite initial skepticism, the discussion acknowledges that applying the Schwarzschild radius concept to electrons has some relevance, as indicated by further resources on the topic. Ultimately, the conversation highlights the complexities of theoretical physics calculations and their implications.