Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics Any of various procedures of
enlarging atopological space to make itcompact . - noun mathematics The space resulting from any such procedure.
- noun physics Any
modification of atheory such that aninfinite parameter becomesfinite
Etymologies
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Examples
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'compactification' as proposed by modern physics, seems to correlate Ill with concepts of
Recently Uploaded Slideshows supri1278 2010
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'compactification' as proposed by modern physics, seems to correlate Ill with concepts of
Recently Uploaded Slideshows guestf91103 2009
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'compactification' as proposed by modern physics, seems to correlate Ill with concepts of
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Now, in an open or flat Friedmann-Robertson-Walker cosmological model with no cosmological constant, whilst the past 'Big-Bang' singularity corresponds to a spacelike hypersurface in the boundary of the conformal compactification, the future timelike infinity corresponds to a single point.
Archive 2009-05-01 Gordon McCabe 2009
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Penrose's cyclic cosmological model is a particular application of his conformal compactification construction, which takes any space-time, whether or not it contains singularities, and whether or not it is infinite in time or space, and constructs a finite (compactified) space-time with boundary, whose metric is related to the original metric of space-time by a locally variable scale factor & #937, called the conformal factor.
Archive 2009-05-01 Gordon McCabe 2009
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The boundary of the conformal compactification contains components which correspond to singularities, and components which correspond to spacelike infinity, timelike infinity, (and null infinity).
Archive 2009-05-01 Gordon McCabe 2009
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There then exist on a scale larger than the string length regions of D-brane compactification which define 4 dimensional spacetimes.
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Of course your right, but “taking something big and making it smaller” is how one might describe compactification to a layman.
Compactification in String Theory Part I: Motivation « Imaginary Potential 2008
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Dynamical compactification will be happening all over the place in the D-dimensional de Sitter space, realizing all of these possibilities in different spacetime regions, and yielding what is referred to as a “multiverse.”
Making Extra Dimensions Disappear Sean 2009
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This is a mechanism of dynamical compactification.
Making Extra Dimensions Disappear Sean 2009
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