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In What Sense Is the Early Universe Fine-Tuned?
Sean M. Carroll
It is commonplace in discussions of modern cosmology to assert that the early universe began in a special state. Conventionally, cosmologists characterize this fine-tuning in terms…
Quantifying the Rise and Fall of Complexity in Closed Systems: The Coffee Automaton
Scott Aaronson, Sean M. Carroll, Lauren Ouellette
In contrast to entropy, which increases monotonically, the "complexity" or "interestingness" of closed systems seems intuitively to increase at first and then decrease as equilibri…
Many Worlds, the Born Rule, and Self-Locating Uncertainty
Sean M. Carroll, Charles T. Sebens
We provide a derivation of the Born Rule in the context of the Everett (Many-Worlds) approach to quantum mechanics. Our argument is based on the idea of self-locating uncertainty:…
Self-Locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics
Charles T. Sebens, Sean M. Carroll
A longstanding issue in attempts to understand the Everett (Many-Worlds) approach to quantum mechanics is the origin of the Born rule: why is the probability given by the square of…
How Many -Folds Should We Expect from High-Scale Inflation?
Grant N. Remmen, Sean M. Carroll
We address the issue of how many -folds we would naturally expect if inflation occurred at an energy scale of order GeV. We use the canonical measure on trajectories i…
De Sitter Space Without Dynamical Quantum Fluctuations
Kimberly K. Boddy, Sean M. Carroll, Jason Pollack
We argue that, under certain plausible assumptions, de Sitter space settles into a quiescent vacuum in which there are no dynamical quantum fluctuations. Such fluctuations require…