Corpus ID: 16445028

Measure, Topology and Probabilistic Reasoning in Cosmology

@article{Curiel2014MeasureTA,
  title={Measure, Topology and Probabilistic Reasoning in Cosmology},
  author={E. Curiel},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2014}
}
  • E. Curiel
  • Published 2014
  • Physics, Mathematics
  • arXiv: General Relativity and Quantum Cosmology
  • I explain the difficulty of making various concepts of and relating to probability precise, rigorous and physically significant when attempting to apply them in reasoning about objects (e.g., spacetimes) living in infinite-dimensional spaces, working through many examples from cosmology. I focus on the relation of topological to measure-theoretic notions of and relating to probability, how they diverge in unpleasant ways in the infinite-dimensional case, and are even difficult to… CONTINUE READING
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