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A generalized manifold topology for branching space-times
Indeterminism possibility branching general relativity modal consistency non-Hausdorff manifolds
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2016/6/14
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 sp...
Similarity,Topology,and Physical Significance in Relativity Theory
similarity topology physical significance general relativity models contextualism
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2016/6/13
Stephen Hawking, among others, has proposed that the topological stability of a property of spacetime is a necessary condition for it to be physically significant. What counts as stable, however, depe...
Genidentity and Topology of Time:Kurt Lewin and Hans Reichenbach
Genidentity topology of time causal theory of time relativized a priori Kurt Lewin Hans Reichenbach
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2016/5/31
In the early 1920s, Hans Reichenbach and Kurt Lewin presented two topological accounts of time that appear to be interrelated in more than one respect. Despite their different approaches, their underl...
Topology,holes and sources
Aharonov-Bohm topology electromagnetism ontology
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2016/5/27
The Aharonov-Bohm effect is typically called ``topological.'' But it seems no more topological than magnetostatics, electrostatics or Newton-Poisson gravity (or just about any radiation, propagation f...
The Topology of Branching Universes
space-time many-worlds topology
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2008/4/21
The purpose of this paper is to survey the possible topologies of branching space-times, and, in particular, to refute the popular notion in the literature that a branching space-time requires a non-H...
Gunk, Topology and Measure
Pointless space and time Mereology
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2008/4/14
I argue that it may well be the case that space and time do not consist of points, indeed that they have no smallest parts. I examine two different approaches to such pointless spaces (to 'gunky' spac...
Carnap's Metrical Conventionalism versus Differential Topology
Carnap's Metrical Topology
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2008/4/10
Geometry was a main source of inspiration for Carnap’s conventionalism. Taking Poincaré as his witness Carnap asserted in his dissertation Der Raum (Carnap 1922) that the metrical structure of space i...