A generalized manifold topology for branching space-times

Müller, Thomas

A generalized manifold topology for branching space-times

Files

Müller_268027.pdf(122.28 KB)

Date

2013

EU project number

263227

Project

Indeterminism Ltd. An intervention on the free will debate

Collections

Philosophie

Publication type

Journal article

Published in

Philosophy of Science ; 80 (2013), 5. - pp. 1089-1100. - ISSN 0031-8248. - eISSN 1539-767X

Abstract

The logical theory of branching space-times, which provides a relativistic framework for studying objective indeterminism, remains mostly disconnected from discussions of space-time theories in philosophy of physics. Earman has criticized the branching ap- proach and suggested ``pruning some branches from branching space-time.'' This article identifies the different---order-theoretic versus topological---perspective of both discussions as a reason for certain misunderstandings and tries to remove them. Most important, we give a novel, topological criterion of modal consistency that usefully generalizes an earlier criterion, and we introduce a differential-geometrical version of branching space-times as a non-Hausdorff (generalized) manifold.

Subject (DDC)

100 Philosophy

Cite This

ISO 690

MÜLLER, Thomas, 2013. A generalized manifold topology for branching space-times. In: Philosophy of Science. 80(5), pp. 1089-1100. ISSN 0031-8248. eISSN 1539-767X. Available under: doi: 10.1086/673895

BibTex

@article{Muller2013gener-26802,
  year={2013},
  doi={10.1086/673895},
  title={A generalized manifold topology for branching space-times},
  number={5},
  volume={80},
  issn={0031-8248},
  journal={Philosophy of Science},
  pages={1089--1100},
  author={Müller, Thomas}
}

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Bibliography of Konstanz

Yes