This, then, or something like this, would be a dynamic formula of history. Any schoolboy knows enough to object at once that it is the oldest and most universal of all theories. Church and State, theology and philosophy, have always preached it, differing only in the allotment of energy between nature and man. Whether the attractive energy has been called God or Nature, the mechanism has been always the same, and history is not obliged to decide whether the Ultimate tends to a purpose or not, or whether ultimate energy is one or many. Every one admits that the will is a free force, habitually decided by motives. No one denies that motives exist adequate to decide the will; even though it may not always be conscious of them. Science has proved that forces, sensible and occult, physical and metaphysical, simple and complex, surround, traverse, vibrate, rotate, repel, attract, without stop; that man's senses are conscious of few, and only in a partial degree; but that, from the beginning of organic existence, his consciousness has been induced, expanded, trained in the lines of his sensitiveness; and that the rise of his faculties from a lower power to a higher, or from a narrower to a wider field, may be due to the function of assimilating and storing outside force or forces. There is nothing unscientific in the idea that, beyond the lines of force felt by the senses, the universe may be--as it has always been--either a supersensuous chaos or a divine unity, which irresistibly attracts, and is either life or death to penetrate. Thus far, religion, philosophy, and science seem to go hand in hand. The schools begin their vital battle only there. In the earlier stages of progress, the forces to be assimilated were simple and easy to absorb, but, as the mind of man enlarged its range, it enlarged the field of complexity, and must continue to do so, even into chaos, until the reservoirs of sensuous or supersensuous energies are exhausted, or cease to affect him, or until he succumbs to their excess.
For past history, this way of grouping its sequences may answer for a chart of relations, although any serious student would need to invent another, to compare or correct its errors; but past history is only a value of relation to the future, and this value is wholly one of convenience, which can be tested only by experiment. Any law of movement must include, to make it a convenience, some mechanical formula of acceleration.
CHAPTER XXXIV
A LAW OF ACCELERATION (1904)
IMAGES are not arguments, rarely even lead to proof, but the mind craves them, and, of late more than ever, the keenest experimenters find twenty images better than one, especially if contradictory; since the human mind has already learned to deal in contradictions.
The image needed here is that of a new centre, or preponderating mass, artificially introduced on earth in the midst of a system of attractive forces that previously made their own equilibrium, and constantly induced to accelerate its motion till it shall establish a new equilibrium. A dynamic theory would begin by assuming that all history, terrestrial or cosmic, mechanical or intellectual, would be reducible to this formula if we knew the facts.
For convenience, the most familiar image should come first; and this is probably that of the comet, or meteoric streams, like the Leonids and Perseids; a complex of minute mechanical agencies, reacting within and without, and guided by the sum of forces attracting or deflecting it. Nothing forbids one to assume that the man-meteorite might grow, as an acorn does, absorbing light, heat, electricity--or thought; for, in recent times, such transference of energy has become a familiar idea; but the simplest figure, at first, is that of a perfect comet--say that of 1843--which drops from space, in a straight line, at the regular acceleration of speed, directly into the sun, and after wheeling sharply about it, in heat that ought to dissipate any known substance, turns back unharmed, in defiance of law, by the path on which it came. The mind, by analogy, may figure as such a comet, the better because it also defies law.
Motion is the ultimate object of science, and measures of motion are many; but with thought as with matter, the true measure is mass in its astronomic sense--the sum or difference of attractive forces. Science has quite enough trouble in measuring its material motions without volunteering help to the historian, but the historian needs not much help to measure some kinds of social movement; and especially in the nineteenth century, society by common accord agreed in measuring its progress by the coal-output. The ratio of increase in the volume of coal-power may serve as dynamometer.
The coal-output of the world, speaking roughly, doubled every ten years between 1840 and 1900, in the form of utilized power, for the ton of coal yielded three or four times as much power in 1900 as in 1840. Rapid as this rate of acceleration in volume seems, it may be tested in a thousand ways without greatly reducing it. Perhaps the ocean steamer is nearest unity and easiest to measure, for any one might hire, in 1905, for a small sum of money, the use of 30,000 steam-horse-power to cross the ocean, and by halving this figure every ten years, he got back to 234 horse-power for 1835, which was accuracy enough for his purposes. In truth, his chief trouble came not from the ratio in volume of heat, but from the intensity, since he could get no basis for a ratio there. All ages of history have known high intensities, like the iron-furnace, the burning-glass, the blow-pipe; but no society has ever used high intensities on any large scale till now, nor can a mere bystander decide what range of temperature is now in common use. Loosely guessing that science controls habitually the whole range from absolute zero to 3000º Centigrade, one might assume, for convenience, that the ten-year ratio for volume could be used temporarily for intensity; and still there remained a ratio to be guessed for other forces than heat. Since 1800 scores of new forces had been discovered; old forces had been raised to higher powers, as could be measured in the navy-gun; great regions of chemistry had been opened up, and connected with other regions of physics. Within ten years a new universe of force had been revealed in radiation. Complexity had extended itself on immense horizons, and arithmetical ratios were useless for any attempt at accuracy. The force evolved seemed more like explosion than gravitation, and followed closely the curve of steam; but, at all events, the ten-year ratio seemed carefully conservative. Unless the calculator was prepared to be instantly overwhelmed by physical force and mental complexity, he must stop there.