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"But the problem with reincarnation is that it's hard to imagine what the storage medium for past lives would be. Not to mention the input-output device. I hesitate to rule it out completely, but I'd need pretty definite proof."
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I'd also like to point out that the story makes use of the blink comparator, which uses two photographs of the same star field to let you quickly compare one to the other; the cover picture provides a glimpse of this device.
(The Blink-Microscope used in 'Pi in the Sky')
A blink-mike provides accommodation for two photographic plates taken of the same section of sky, but at different times. These plates are carefully juxtaposed and the operator may alternately focus his vision, through the eyepiece, first upon one and then upon the other, by means of a shutter. If the plates are identical, the operation of the shutter reveals nothing, but if one of the dots on the second plate differs from the position it occupied on the first, it will call attention to itself by seeming to jump back and forth as the shutter is manipulated. Compare this to the actual device used to discover Pluto. It was invented in 1904 by physicist Carl Pulfrich at Carl Zeiss AG.
(The Blink Comnparator used to find Pluto)
The photographic plates Tombaugh was comparing with this machine were 36 x 43 centimeters (14 x 17 inches), and were long exposures taken with a telescopic camera that sported a powerful 33-centimeter (13-inch) diameter lens. Tombaugh took exposures at night, covering areas of the sky where Percival Lowell had predicted years earlier that a planet must be lurking. He then developed those plates, and during the day compared them, spending weeks and months searching vast depths of space looking for something moving among the thousands of stars exposed on those plates. In February 1930, finally, he found something that he could not explain away as a nearby asteroid or some other form of space debris. It moved too slowly to be an asteroid. If it was a planet, it was farther than Neptune, just as Lowell predicted.
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