Four-Dimensional Vistas by Claude Fayette Bragdon
page 30 of 116 (25%)
page 30 of 116 (25%)
![]() | ![]() |
|
microscope, as though a four-dimensional figure were registering its
passage through our space. THE ELECTRIC CURRENT Hinton conceived of an electric current as a four-dimensional vortex. He declared that on the Higher Space Hypothesis the revolution of the ether would yield the phenomenon of the electric current. The reader is referred to Hinton's book, _The Fourth Dimension_, for an extended development of this idea. What follows is a brief summary of his argument. First, he examines the characteristics of a vortex in a three-dimensional fluid. Then he conceives of what such a vortex would be in a four-dimensional medium of analogous properties. The whirl would be about a _plane_, and the contour of this plane would correspond to the ends of the axis line in the former vortex; and as before, the vortex would extend to the boundary. Every electric current forms a closed circuit: this is equivalent to the hyper-vortex having its ends in the boundary of the hyper-fluid. The vortex with a _surface_ as its axis, therefore, affords a geometric image of a closed circuit. Hinton supposes a conductor to be a body which has the property of serving as a terminal abutment to such a hyper-vortex as has been described. The conception that he forms of a closed current, therefore, is of a vortex sheet having its _edge_ along the circuit of the conducting wire. The whole wire would then be like the centers on which a spindle turns in three-dimensional space, and any interruption of the continuity of the wire would produce a _tension_ in place of a continuous revolution. The phenomena |
|