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PSYCHISM AND THE FOURTH DIMENSION
243
Since the shadows in Zollner's experiment were sharply defined, the source of light must have been very small, in fact almost a point.
But it was observed in our experiment with the small lamp flame that when the hand was held near the flame its shadow was very much enlarged. And the nearer the hand is to the wall, the more nearly will its shadow approach its own size, and when its distance from the wall is about one-twentieth of its distance from the flame, the shadow will not be appreciably larger than the hand itself.
To apply this to Zollner's experiment : as the shadow of the table-leg on the wall was not appreciably larger than the table-leg which cast it, the light must have been from ten to twenty times farther from the table-leg than the table-leg was from the wall ; so that if the table-legs were each five feet from the walls, the source of the light must, from the facts observed by Zollner's, have been approximately a luininous point, from fifty to one hundred feet behind each leg of the table. But, under ordinary three-dimensional circumstances, this is manifestly impossible, unless either the table was one or two hundred feet square, or the light came from a point one hundred feet either above or beyond the table, and then separated, so as to appear to threedimensional understandings to travel in at least four directions at once.
Let us return to the fourth dimension, beginning with a few parallels from the inferior dimensions.
Let a sheet of paper represent two-dimensional space.
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