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addendum<br />

As this book goes to press, I have uncovered several recent discussions dealing with<br />

parallel universes and cosmic topology.<br />

• Parallel Universes—Chapter 3 discussed parallel universes and the "manyworlds"<br />

interpretation of quantum mechanics. Readers interested in a lively<br />

and critical discussion of this topic should consult Professor Victor Stenger's<br />

The Unconscious Quantum (Prometheus Books, 1995). For example, he<br />

doubts very much that the parallel universes (in the many-worlds interpretation)<br />

all simultaneously exist. He also does not believe that all branches<br />

taken by the universe under the act of measurement are "equally real."<br />

Stenger discusses other approaches such as the "alternate histories" theory<br />

that suggests every allowed history does not occur. What actually happens is<br />

selected by chance from a set of allowed probabilities.<br />

• More on the Multiverse—Many have wondered why the hypothetical cosmological<br />

constant (a mysterious energy that seems to be permeating space and<br />

counteracting gravity on cosmic distance scales) is just right to permit life in<br />

our universe. Some theories, in fact, predict that the constant should be<br />

much larger and therefore would presumably keep galaxies, stars, and life<br />

from forming. Uncomfortable with the idea that the cosmological constant<br />

and other parameters are simply lucky accidents, Stephen Hawking recently<br />

suggested that an infinity of big bangs have gone off in a larger "multiverse,"<br />

each with different values for these parameters. Only those values that are<br />

compatible with life could be observed by beings such as ourselves. For more<br />

information, see James Glanz, "Celebrating a century of physics, en masse,"<br />

Science, 284(5411): 34-35, 1999.<br />

• Cosmic topology—Note 1 for chapter 5 discusses various topologies for our<br />

universe. The April, 1999 issue of Scientific American suggests the universe<br />

could be spherical yet so large that the observable part seems Euclidean, just<br />

as a tiny patch on a balloon's surface looks flat. In other topologies, the universe<br />

might be "multiply connected" like a torus, in which case there are<br />

many different direct paths for light to travel from a source to an observer.<br />

235

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