Is space continuous ? J. Baez is right.
- From: huangxienchen@xxxxxxxxx
- Date: 7 Jan 2007 09:29:16 -0800
http://math.ucr.edu/home/baez/week15.html
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............- some evidence for my notion that quantum gravity will
resolve the old "is space continuous or discrete" argument by saying
"both, and neither," just as quantum mechanics resolved the old "is
light a wave or a particle" dispute! (Hegel would've loved it.)
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believe that it can be said that there are situations where theFrom the thread last week regarding topological indeterminacy, I
topological properties of an object or manifold are indeterminate.
It may be said that it has contradictory topology, or that it is both
continuous and discrete, or that it is neither. It may also be said
that the indeterminacy forces us to choose, because it is unlikely that
it could be both at the same time.
I think that considerations regarding the solution set of 0 = 0 * a
supports this view.
Plancklength acts like zero in ways. And indeterminacy is inherent to
mathemathics, but it's very existence is itself indeterminate.
.
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