Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas 214 | Antonio Padilla on Large Numbers and the Scope of the Universe
Oct 17, 2022
Antonio Padilla, a theoretical physicist and author of "Fantastic Numbers and Where to Find Them," dives into the wonders of large numbers in relation to the universe. He discusses the staggering figures that define our cosmos, like the estimated 10^88 particles. Padilla examines concepts like Graham's Number, the significance of a Googleplex, and the philosophical implications of vastness. He also explores quantum mechanics, black holes, and how information is stored in the universe, revealing surprising connections between mathematics and reality.
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Origin of Google/Googleplex
- Edward Kasner's 9-year-old nephew, Milton Sirota, coined the term "Google" for 10^100.
- Sirota then suggested "Googleplex" for a one followed by a Google zeros, showcasing the power of recursion.
Universe vs. Large Numbers
- Our universe contains approximately 10^88 particles, far less than a Google (10^100).
- Even Avogadro's number (6 x 10^23) highlights the vast scales within our seemingly ordinary world.
Math Pedantry vs. Physics
- Antonio Padilla recalls receiving zero points on a correct math proof due to the placement of implication symbols.
- This experience fueled his shift towards physics, seeking more tangible meaning in numbers.
