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Phys. Rev. Lett. 97, 201301 (2006) [4 pages]

Why Anthropic Reasoning Cannot Predict Λ

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Glenn D. Starkman1,2 and Roberto Trotta1
1Astrophysics Department, Oxford University, Denys Wilkinson Building, Keble Road, Oxford OX1 3RH, United Kingdom
2Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106-7079, USA

Received 17 July 2006; published 16 November 2006

We revisit anthropic arguments purporting to explain the measured value of the cosmological constant. We argue that different ways of assigning probabilities to candidate universes lead to totally different anthropic predictions. As an explicit example, we show that weighting different universes by the total number of possible observations leads to an extremely small probability for observing a value of Λ equal to or greater than what we now measure. We conclude that anthropic reasoning within the framework of probability as frequency is ill-defined and that in the absence of a fundamental motivation for selecting one weighting scheme over another the anthropic principle cannot be used to explain the value of Λ, nor, likely, any other physical parameters.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.201301
DOI:
10.1103/PhysRevLett.97.201301
PACS:
98.80.−k