APPARITIONS

_The intrusion (as an apparition) of a person or thing into a

completely enclosed portion of three-space; or contrariwise, the

exit (as an evanishment) out of such a space_.

Because we lack the sense of four-dimensional space, we must here

have recourse to analogy, and assume three-dimensional space to be

the unsensed higher region encompassing a world of two dimensions,

To a hypothetical flat-man of a two-space, any portion of his plane

surrounded by an unbroken line would constitute an enclosure. Were

he confined within it, escape would be impossible by any means known

to him. Had he the ability to move in the third dimension, however,

he could rise, pass over the enclosing line without disturbing it,

and descend on the other side. The moment he forsook the plane he

would disappear from two-dimensional space. Such a disappearance

would constitute an occult phenomenon in a world of two dimensions.

Correspondingly, an evanishment from any three-dimensional

enclosure--such as a room with locked doors and windows--might be

effected by means of a movement in the fourth dimension. Because a

body would disappear from our perception the moment it forsook our

space, such a disappearance would be a mystery; it would constitute

an occult phenomenon. The thing would be no more mysterious, however,

to a consciousness embracing four dimensions within its ken, than

the transfer of an object from the inside to the outside of a plane

figure without crossing its linear boundary is mysterious to us.

Four-Dimensional Vistas · 第 47 / 100 题