PBS Space Time PBS Space Time

Are there Infinite Versions of You?

Oct 31, 2026 · 21m

Summary

This episode explores the cosmological implications of an infinite universe, arguing that such a scenario inevitably contains infinite duplicates of every possible configuration, including infinite versions of you. The host uses the infinite monkey theorem and the Bekenstein bound to explain why finite starting conditions in an infinite space lead to repeated histories. The segment concludes with a Q&A addressing the three-body problem in general relativity, S-matrix scattering channels, and corrections regarding Newton's *Principia*.

Topics discussed

Sponsor segments: LinkedIn and Gatorlite Introduction: Infinite universe and infinite versions of you The Infinite Monkey Theorem explained Applying the theorem to cosmic regions Limitations: What an infinite universe does not contain Finite starting conditions and chaotic divergence Vacuum energy, eternal inflation, and quantum randomness The Bekenstein Bound and maximum entropy Is the universe actually infinite? Testing the hypothesis Real-world monkey experiment and conclusion Q&A: Three-body problem in General Relativity Q&A: Spaceless, timeless particle scattering in S-matrix Corrections: S/T channels and Principia pronunciation Outro: Quantum Lego dynamics
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