What is the Fourth Dimension? A subtle transposition of precious
essences from the earthly to the spiritual plane. We live in a world
of three dimensions, the symbols of which are length, breadth,
thickness. A species of triangular world, a prison for certain souls
who see in the category of Time an escape from that other
imperative, Space (however, not the Categorical Imperative of Kant
and its acid moral convention). Helmholtz and many mathematicians
employed the "n" dimension as a working hypothesis. It is useful in
some analytical problems, but it is not apprehended by the grosser
senses. Pascal, great thinker and mathematician, had his "Abyss"; it
was his Fourth Dimension, and he never walked abroad without the
consciousness of it at his side. This illusion or obsession was the
result of a severe mental shock early in his life. Many of us are
like the French philosopher. We have our "abyss," mystic or real.
Mr. Bragdon quotes from the mathematician Bolyai, who in 1823
"declared with regard to Euclid's so-called axiom of parallels, 'I
will draw two lines through a given point both of which will be
parallel to a given line.'" Space, then, may be curved in another
dimension. Mr. Bragdon believes that it is, though he does not
attempt to prove it, as that would be impossible; but he gives his
readers the chief points in the hypothesis. The "n" dimension may be
employed as a lever to the imagination. Even revealed religion
demands our faith, and imagination is the prime agent in the
interpretation of the universe, according to the gospel of mystic
mathematics.
Nature geometrises, said Emerson, and it is interesting to note the
imagery of transcendentalism through the ages. It is invariably
geometrical. Spheres, planes, cones, circles, spirals, tetragrams,
pentagrams, ellipses, and what-not. A cubistic universe. Xenophanes
said that God is a sphere. And then there are the geometrical
patterns made by birds on the wing. Heaven in any religion is
another sphere. Swedenborg offers a series of planes, many mansions
for the soul at its various stages of existence. The Bible, the
mystical teachings of Mother Church--why evoke familiar witnesses?
We are hemmed in by riddles, and the magnificent and mysterious
tumult of life asks for the eye of imagination, which is also the
eye of faith. The cold fire and dark light of the mystics must not
repel us by their strangeness. Not knowledge but perception is
power, and the psychic is the sign-post of the future. What do all
these words mean: matter, energy, spirit, cells, molecules,
electrons, but the same old thing? I am a colony of cells, yet that
fact does not get me closer to the core of the soul. What will? A
fourth spatial dimension, answers Claude Bragdon. Truly a poetic
concept.
Public-domain text, read in full here on John Shaqi.
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