PhilSci Archive

A generalized manifold topology for branching space-times

Müller, Thomas (2013) A generalized manifold topology for branching space-times. In: UNSPECIFIED.

[img]
Preview
PDF
psa2012-bst-final-for-preprint.pdf - Submitted Version
Available under License Creative Commons Attribution Non-commercial.

Download (346kB)

Abstract

The logical theory of branching space-times (Belnap, Synthese 1992), which provides a relativistic framework for studying objective indeterminism, remains mostly disconnected from the discussion of space-time theories in the philosophy of physics. Earman has criticized the branching approach and suggested ``pruning some branches from branching space-time'' (2008).

This paper identifies the different---order-theoretic vs.
topological---points of view of both discussions as a reason for certain misunderstandings, and tries to remove them. Most importantly, 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.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
Müller, ThomasThomas.Mueller@phil.uu.nl
Keywords: Indeterminism; possibility; branching; general relativity; modal consistency; non- Hausdorff manifolds
Subjects: General Issues > Determinism/Indeterminism
Specific Sciences > Physics > Relativity Theory
Depositing User: Dr. Thomas Müller
Date Deposited: 07 Jan 2013 02:16
Last Modified: 07 Jan 2013 02:16
Item ID: 9504
Subjects: General Issues > Determinism/Indeterminism
Specific Sciences > Physics > Relativity Theory
Date: 4 January 2013
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/9504

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item