“He's not really, though. He memorized the energy-mass equation in an attempt to justify his new status in life, but he hasn't the remotest notion of what it means. It's ironic in a way that Pfleugersville should have been discovered by someone with an IQ of less than seventy-five.”
“No one with an IQ of less than seventy-five could create the sort of field you were talking about.”
“He didn't create it deliberately—he brought it into being accidentally by means of a machine he was building to tie knots with. Or at least that's what he says. But we do know that there was such a machine because we saw its fused parts in his kitchen, and there's no question but what it was the source of the field. Francis, though, can't remember how he made the parts or how he put them together. As a matter of fact, to this day he still doesn't understand what happened—though I have a feeling that he knows more than he lets on.”
“What did happen?” Philip asked.
For a while Judith was silent. Then, “All of us promised solemnly not to divulge our secret to an outsider unless he was first accepted by the group as a whole,” she said. “But thanks to my negligence, you know most of it already, so I suppose you're entitled to know the rest.” She sighed. “Very well—I'll try to explain….”
When Francis Pfleuger's field had come into being, something had happened to the back doors of Valleyview that caused them to open upon a planet which one of the local star-gazers promptly identified as Sirius XXI. The good folk of Valleyview had no idea of how such a state of affairs could exist, to say nothing of how it could have come about, till one of the scientists whom they asked to join them as a part of the plan which they presently devised to make their forthcoming utopia self-sufficient, came up with a theory that explained everything.
According to his theory, the round-trip distance between any two planetary or stella bodies was curved in the manner of a Möbius strip—i.e., a strip of paper given a half-twist before bringing the two ends together. In this case, the strip represented the round-trip distance from Earth to Sirius XXI. Earth was represented on the strip by one dot, and Sirius XXI by another, and, quite naturally, the two dots were an equal distance—or approximately 8.8 light years—apart. This brought them directly opposite one another—one on one side of the strip, the other on the other side; but since a Möbius strip has only one surface—or side—the two dots were actually occupying the same space at the same time. In “Möbius space”, then, Earth and Sirius XXI were “coincidental”.
Philip looked over his shoulder at the little yellow sun twinkling in the sky. “Common sense,” he said, “tells me differently.”
“Common sense is a liar of the first magnitude,” Judith said. “It has misled man ever since he first climbed down from the trees. It was common sense that inspired Ptolemy's theory of cosmogony. It was common sense that inspired the burning of Giordano Bruno….”