PBS Space Time PBS Space Time

How Much Information is in the Universe?

Nov 3, 2026 · 20m

Summary

This episode explores the Bekenstein bound and holographic principle, calculating the maximum information capacity of the observable universe by analyzing particle counts and black hole entropy. The host explains that while the universe's information is vast, it remains far below the theoretical limit where space would collapse into a black hole. The segment concludes with a challenge for listeners to determine the size of a black hole computer needed to simulate the universe, followed by responses to viewer comments on previous topics like Mars exploration and proton decay.

Topics discussed

Introduction: Can the universe fit in a smaller space? The Holographic Principle and 2D boundaries Bekenstein Bound: Information limits on surface area Calculating Planck volumes in the observable universe Comparing volume elements to surface area limits Counting particles: Protons, photons, and neutrinos Black hole entropy and information content What happens if the universe exceeds its info limit? Challenge: Simulating the universe on a black hole Comment response: Life on Mars and Opportunity rover Clarifying the Viking lander experiment results Proton decay timescales and half-life explanation Calculating time to eliminate all protons Quantum fluctuations and Boltzmann brains
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