id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_zxaleptnwndhjcni2rmqrqo7f4	John Byron Manchak	Epistemic "Holes" in Space-Time	2016	12	.pdf	application/pdf	4851	510	73	We begin with a few preliminaries concerning the relevant background formalism of general relativity.1 An n-dimensional, relativistic space-time ðfor n ≥ 2Þ is a pair of mathematical objects ðM; gabÞ. time-like and causal pasts and futures of a point p: I −ðpÞ 5 fq : q ≪ pg, Let ðK; gabÞ be a globally hyperbolic space-time. A space-time ðM; gabÞ is hole-free if, for every set K ⊆ M Any space-time that is geodesically complete is hole-free The space-time in example 2 is inextendible and hole-free. A space-time ðM; gabÞ has an epistemic hole if there are two space-time to be free of epistemic holes. In order to not count Minkowski space-time as having epistemic holes, Geodesic observers γ1 and γ2 in Minkowski space-time with one point down the class of inextendible space-times and the class of hole-free spacetimes. used to rule out "holes" in space-time.	./cache/work_zxaleptnwndhjcni2rmqrqo7f4.pdf	./txt/work_zxaleptnwndhjcni2rmqrqo7f4.txt