The next time our wise man from the east was asked to "say a few
words and make his own topic," he spoke, perhaps, as follows:
"How large do you think the earth is? You answer promptly, 7,912
miles in diameter. You are as far out of the way as you were in
supposing that our sun could be a centre of gravity of a lot of
planets revolving around it and around Alcyone without being a
globe of ether. Now that it has been mentioned, you see very
clearly for yourself that it must be a solar globe of ether. It
follows from one of your physical axioms. When I tell you why
the earth is and must be about fifty thousand miles in diameter,
you will see that it must be so, and that you knew it all the
time, but never stopped to formulate your knowledge. You have
had the knowledge for three centuries without applying it.
"It was in 1609 that your greatest astronomer, John Kepler,
announced as one of three harmonic laws by which the universe was
governed, that the squares of the times of the planets were
proportional to the cubes of their distances from the sun; and
that this law was true in physics and everywhere. No one of your
scientists has had the wisdom to study out what it meant, and for
three centuries, for 291 years, you have repeated his words like
so many parrots, instead of using the key he gave you to unlock
the mysteries of the universe. A corollary of his law is that
the planets move in their orbits because they are impelled
thereto between the two forces, and move in a mean curve between
them; but it was not until 1896 that you discovered that the
mean between two forces is always a curve and never a straight
line. You have not a text book in a school today that does not
repeat this fundamental and absurd error--which you have known
for three centuries to be an error--that the motion resulting
from a mean between forces is "in a straight line." The curves
resulting here are not to be measured easily, and are so large
that small segments appear straight lines; and it was not until
Carpenter demonstrated it mathematically that any one could
believe it true.
"There are two great forces in this universe. Your grandfathers
called them Centripetal and Centrifugal forces; your fathers
called them Gravity and Apergy, names which still cling to them;
and you call them Attraction and Repulsion.
"It was Kepler, not Newton, who discovered that Attraction or
Gravity was in inverse proportion to the square of the distance.
"You know the meaning of this mystic phrase, 'as the squares of
the distance.' You understand that it means the attraction at
two feet is only one-fourth the attraction at one foot; at four
feet only one-sixteenth; at eight feet, only one sixty-fourth.
"But who knows or cares for Kepler's great law of Repulsion, or
Apergy? That was that the 'square of the times are as the cubes
of the distance.' It has lain fallow for centuries. No one of
your western physicists has ever studied it, or tried to explain
it. It remains just where Kepler left it, as the mere law of
orbital revolution of the planets only.
"It is the key to the proper understanding of the universe.
"'The squares of the times are as the cubes of the distance'
means that all motion is the result of two forces acting upon
prakriti, and that where the two forces are balanced, or equal,
the result in motion is a circle or ellipse, the square of the
Repulsion being equal to the cube of the Attraction to make them
equal and produce a circle. In other cases they produce
hyperbola and parabola.
"This is a little dry--nearly all fundamental knowledge is--but
the reward of patience is great.
"The orbital speed of the earth is about 60,000 miles per hour.
The attraction of the sun exactly equals the repulsion created by
the motion; more accurately, the speed created by the repulsion.
The result of the two forces working together at exact balance is
a circle. An ellipse is a circle bent a little, and the ellipse
in which the earth actually moves comes from varying attraction
and repulsion. Kepler's second law covers that.
"If the orbital speed of the earth were a mile less per hour, or
even a foot less, then the earth would wind up around the sun as
a dog gets wound up with his chain around a tree. If this speed
were a mile more per hour, then the earth would wind out, each
year getting farther and farther away, until finally it would be
lost. When the speed is exactly proportional to the pull--that
is, when it is as 1.6 is to 2,--the result is a circular orbit,
the eccentricity of which is caused by certain fluctuations in
the attraction and repulsion.
"Suppose a planet were to be placed so that it would have a time
of two years. Its distance from the sun would be 1.6 that of the
earth. Why? Because to get the time doubled we would have to
take the square root of 4; and to get the distance the cube root
of the same number, 4. If you wish to be very exact the cube
root is 1.5889, but 1.6 is near enough for all ordinary work.
"If you wanted to find out the distance of a planet revolving in
six months you would divide the earth's distance by 1.6.
"In proportion you get any time or distance you may desire with
absolute accuracy. The distance of any planet from the sun gives
its time, or its time gives its distance--when that of any of
the others is known. This law applies throughout the universe;
in everything and everywhere. It is not a law of orbital
revolution alone, but a law of all motion.
"Our moon has a time of 29 days and a speed of about 50,000 miles
per day. If the speed were greater it would leave us, if less it
would wind up, falling to the earth in the form of a spiral.
"At what distance would it have to be to have a time of fourteen
days? Divide 240,000 miles by 1.6. A seven-day moon, would be
1.6 that distance. And the exact distance for a one-day moon,
for a moon that would always be in the same place in the heavens,
moving as the earth revolved on its axis, would be about 24,998
miles.
"This gives us the line of 24-hour axial rotation, the true
surface of the earth, and the sheer-line of prakritic matter.
Beyond that line is the ether; within that line is prakriti.
"It is the line of no weight, where gravity and apergy exactly
balance. Inside that line gravity exceeds apergy and everything
revolving in less time, or that time, must fall to the centre.
It is the true surface of any 24-hour globe of this size and
weight. A moon to revolve around the earth in less than one day
must move faster than the earth to develop enough apergy to
overcome the attraction. That phenomenon we see in the moons of
Mars, which are within its atmosphere; within the planet itself.
"We of the East learned this true size of the earth over six
thousand years ago, from observing the moons of Jupiter. The
times of the first three are doubled. We asked ourselves what
this meant and found that their distance was increased by the
cube root of 4 when their times were increased by the square root
of 4; that time was to distance as 1.6 was to 2. Then we
applied the key, and found it unlocked many mysteries.
"The first lesson this taught us was that we did not live on the
earth, but within the earth, at the line of liquid and gaseous
changes, where the three forms of matter meet and mingle and
interchange with each other. We lived at the bottom of a gaseous
ocean 21,000 miles above us, and 4,000 miles from the centre of
the globe. It gave us an entirely new conception of the earth,
and of our place in it.
"We saw that we lived in a narrow belt, or skin, of the earth,
not more than 100 miles thick, perhaps not more than ten miles.
Within this belt the prakritic elementary substances varied their
condition, combined, and made forms by increasing or decreasing
vibration. It was the creative and destructive zone, the
evolutionary "mother"--the liquid level of the prakriti--the
seat of all physical phenomena. Fifty miles above, the masses of
nitrogen and oxygen and argon were too cold to change their rate
of vibration. Fifty miles below the surface of the earth all
things were too hot for changes in vibration. In this kinetic
belt, between two static masses our bodies had been made, and
also, in all probability, all combinations of the elementary
substances. It was four thousand miles to the centre of the
static prakritic mass beneath us; twenty-one thousand miles to
the surface of the static prakritic mass above us, and the small
kinetic belt between was only one hundred miles thick. But we
had one consolation, the prakriti we had was all kinetic, and the
best in the whole mass.
"The second lesson it taught us was that as the earth had been
made in the etheric globe, in a corresponding skin or plane of
kinetic etheric energy, with our ether the best of the solar
output, that we ourselves were subject through our ether to the
phenomena of that kinetic solar plane in precisely the same way
we now are to the phenomena of the kinetic prakritic plane. Once
rid of the fallacious notion that we were creatures of the
surface of the earth, once clearly conscious that we were
creatures of the interior, of the bottom of this gaseous ocean,
then we could understand not only how the earth could be created
in this etheric globe, but how we could be creatures of the solar
globe living on it.
"When we learned that lesson, and learned it well, it dawned upon
us that we were living in the pranic globe at the same kinetic
level or plane of that globe, the line where its solids and
liquids and gases mingled and passed from one state to another,
the kinetic belt in which our solar globe has been made, and that
we were living as truly on that globe as we were on this
prakritic globe. Our position on each globe was the same.
"And then the great truth came that we lived in the manasic
globe, at the same kinetic level; and that we lived our lives on
the four globes simultaneously. Our bodies are fourfold. Every
atom is fourfold, ready to respond in our minds to the vibrations
of the Manasic world, in our vitality to the pranic vibrations of
the pranic world, in our nerves to the etheric vibrations of the
etheric world, and in our prakriti to vibrations of the prakritic
world. Each one of our bodies lived on its own earth globe, for
there were four globes of this earth--in coadunition--in its
corresponding kind of globe.
"The four earth globes became one globe, as our four bodies were
one body; and the chain of four kinds of globes in matter became
one globe, as the manasic with the others on it.
"These four kinds of globes were the beginning and the end of
matter, as we distinguish and know matter. They were not the end
of vibration; or of planes of vibration; or of realms beyond
this material universe; but they were the limits of all that is
common to each and every atom of this lower plane of vibration.
"It is upon this solid and perfect foundation of physics, that
accounts for and explains every kind of phenomena, we have
constructed our metaphysics. All that belongs to these four
lower planes we consider and treat as physics. All that relates
to the planes beyond we consider metaphysics. Can you teach a
child equation of payments before he knows the first four rules?
You would not attempt such a task. The first four rules are the
physics of arithmetic; all beyond is the metaphysics of
arithmetic. It flows out of them. Can you comprehend our system
of metaphysics until you have clearly and completely mastered our
physics? Would you not get into a fog at the very start?
"There can be no system of metaphysics without a solid foundation
of physics. The idea is unthinkable. The one grows out of the
other. It is its life; its fruit, its flower.
"You have no western system of physics. Your physics are without
form and void; patchwork, constantly changing. There is no
substantial foundation for any system of metaphysics. What you
say or do in physics is fragmentary or chaotic.
"It is perfectly true, so far as you have gone through the first
invisible world of ether, you are much more masters of detail
than we are.
"We have not cared particularly for the minor details by which
explosives are made, or metals obtained from oxides. We have
preferred to push on into realms beyond as fast as we could,
seeking first the Kingdom of Heaven and its Righteousness,
knowing that when it was found all these things would be added
unto us."