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How General Is This Conclusion?

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  • How General Is This Conclusion?

    Table of Contents
    .......The Elegant Universe
    THE ELEGANT UNIVERSE, Brian Greene, 1999, 2003
    ```(annotated and with added bold highlights by Epsilon=One)
    Chapter 10 - Tearing the Fabric of Space
    How General Is This Conclusion?
    or
    What if the spatial dimensions are not circular in shape? (Epsilon=One: Circles (and straight lines) are special ellipses. Everything that exists is fundamentally elliptical. And, the fundamental Emergent Ellipsoid (EEd), "dark" matter, is a manifestation of complex oscillations.) Do these remarkable conclusions about minimum spatial extent in string theory still hold? No one knows for sure. The essential aspect of circular dimensions is that they permit the possibility of wound strings. As long as the spatial dimensions—regardless of the details of their shape—allow strings to wind around them, most of the conclusions we have drawn should still apply. But what if, say, two of the dimensions are in the shape of a sphere? In this case, strings cannot get "trapped" in a wound configuration, because they can always "slip off" much as a stretched rubber band can pop off a basketball. Does string theory nevertheless limit the size ,to which these dimensions can shrink?

    Numerous investigations seem to show that the answer depends on whether a full spatial dimension is being shrunk (as in the examples in this chapter) or (as we shall encounter and explain in Chapters 11 and 13) an isolated "chunk" of space is collapsing. The general belief among string theorists is that, regardless of shape, there is a minimum limiting size, much as in the case of circular dimensions, so long as we are shrinking a full spatial dimension. Establishing this expectation is an important goal for further research because it has a direct impact on a number of aspects of string theory, including its implications for cosmology.
    or
    Table of Contents
    .......The Elegant Universe
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