James Clerk Maxwell

"The world may be utterly crazy And life may be labour in vain; But Id rather be silly than lazy, And would not quit life for its pain."

"The vast interplanetary and interstellar regions will no longer be regarded as waste places in the universe, which the Creator has not seen fit to fill with the symbols of the manifold order of His kingdom. We shall find them to be already full of this wonderful medium; so full, that no human power can remove it from the smallest portion of Space, or produce the slightest flaw in its infinite continuity."

"The influence of Quetelets ideas spread throughout the sciences, even to the physical sciences. The two primary founders of the modern kinetic theory of gases, based on considerations of probability, were James Clerk Maxwell and Ludwig Boltzmann. Both acknowledged their debt to Quetelet. ...historians generally consider the influence of the natural sciences on the social sciences, whereas in the case of Maxwell and Boltzmann, there is an influence of the social sciences on the natural sciences, as Theodore Porter has shown."

"Maxwell... mastered electricity and magnetism, light and heat, pretty much mopping up all the major areas of physics beyond those that Newton had... taken care of—gravitation and the laws of motion. ...Maxwell detected an essential shortcoming in Newtons laws of motion, too. They worked... for macroscopic objects, like cannonballs and rocks. But what about the submicroscopic molecules from which such objects were made? ...Newtons laws ...did you no good because you could not possibly trace the motion of an individual molecule ...Maxwell applied the sort of statistical thinking that Quetelet had promoted."

"The whole science of heat is founded Thermometry and , and when these operations are understood we may proceed to the third step, which is the investigation of those relations between the thermal and the mechanical properties of substances which form the subject of Thermodynamics. The whole of this part of the subject depends on the consideration of the Intrinsic Energy of a system of bodies, as depending on the temperature and physical state, as well as the form, motion, and relative position of these bodies. Of this energy, however, only a part is available for the purpose of producing mechanical work, and though the energy itself is indestructible, the available part is liable to diminution by the action of certain natural processes, such as conduction and radiation of heat, friction, and viscosity. These processes, by which energy is rendered unavailable as a source of work, are classed together under the name of the Dissipation of Energy."

"I My soul’s an amphicheiral knot Upon a liquid vortex wrought By Intellect in the Unseen residing, While thou dost like a convict sit With marlinspike untwisting it Only to find my knottiness abiding; Since all the tools for my untying In four-dimensioned space are lying, Where playful fancy intersperses Whole avenues of universes; Where Klein and Clifford fill the void With one unbounded, finite homaloid, Whereby the Infinite is hopelessly destroyed. II But when thy Science lifts her pinions In Speculation’s wild dominions, I treasure every dictum thou emittest; While down the stream of Evolution We drift, and look for no solution But that of the survival of the fittest. Till in that twilight of the gods When earth and sun are frozen clods, When, all its energy degraded, Matter in æther shall have faded, We, that is, all the work we’ve done, As waves in æther, shall for ever run In swift-expanding spheres, through heavens beyond the sun. III Great Principle of all we see, Thou endless Continuity! By thee are all our angles gently rounded; Our misfits are by thee adjusted, And as I still in thee have trusted, So let my methods never be confounded! O never may direct Creation Break in upon my contemplation, Still may the causal chain, ascending, Appear unbroken and unending, And, where that chain is lost to sight Let viewless fancies guide my darkling flight Through Æon-haunted worlds, in order infinite. ∂p/∂t"

"Ask no more, then, "what is best, How shall those you love be blest," Ask at once eternal Rest, Peace and assurance giving. Rest of Life and not of death, Rest in Love and Hope and Faith, Til the God who gives their breath Calls them to rest from living."

"In order to appreciate the nature of Maxwells contributions , let us recall how matters stood in his day. ... ...states that a variable magnetic field generates an electric field. Maxwell, however, considered that this law, standing alone, lacked symmetry; so he formulated the hypothesis that conversely a variable electric field should generate a magnetic one, and proceeded to construct his theory... no experimental results could be claimed to have justified any such assumption... His celebrated equations of electromagnetics represented, therefore, the results of experiment, supplemented by this additional hypothetical assumption. The advisability of making this hypothesis was accentuated when it was found to ensure the law of conservation of electricity. ...In the particular case of free space in which only fields but no charges or currents are present, Maxwells equations of electromagnetics, termed field-equations (since they describe the state of the electromagnetic field), can be written:"

"In the study of electricity and magnetism we may consider phenomena in which conditions do not vary as time passes by; the electric charges and the magnets remain at rest, and the currents flowing in fixed wires do not vary in intensity. Conditions are then termed stationary [static]; it is as though time played no part. The laws which govern this type of phenomena were discovered empirically over a century ago, and were expressed mathematically in terms of spatial vectors. The problem of ascertaining how electric and magnetic phenomena would behave when conditions ceased to be stationary was one that could not be predicted; further experimental research was necessary before the general laws could be obtained. Even so, the difficulties were considerable, and it needed Maxwells genius to establish the laws from the incomplete array of experimental evidence then at hand. All this work extended over nearly a century; it was slow and laborious. Yet, had men realised that our world was one of four-dimensional Minkowskian space-time, and not one of separate space and time, things would have been different. By extending the well-known stationary laws to four-dimensional space-time, through the mere addition of time components to the various trios of space ones, we should have written out inadvertently the laws governing varying fields, or, in other words, we should have constructed Maxwells celebrated equations. Electromagnetic induction, discovered experimentally by Faraday, the additional electrical term introduced tentatively by Maxwell, radio waves, everything in the electromagnetics of the field, could have been foreseen at one stroke of the pen. A century of painstaking effort could have been saved. We are assuming that a four-dimensional vector calculus would have been in existence; but this is purely a mathematical question."

"[I]n the mid-19th century math seemed... useless for physicists pondering the complexities of molecular motions in gases. ...How could anyone grasp the inner workings of a mass of molecules too numerous to count and too small to be seen? Yet... Maxwell found a way, by using statistics—mathematical descriptions of large groups of molecules. ...Maxwell got the idea to use statistics in physics from social scientists applying math to society!"

"The essential feature of Maxwells work was showing that the properties of gases made sense not if gas molecules all flew around at a similar "average" velocity, as Clausius had surmised, but only if they moved at all sorts of speeds, most near the average, but some substantially faster or slower, and a few very fast or slow. ...Just as Quetelets average man was fictitious, and key insights into society came from analyzing the spread of features around the average, understanding gases meant figuring out the range and distribution of molecular velocities around the average. And that distribution, Maxwell calculated, matched the bell-shaped curve describing the range of measurement errors."

"Velocity of transverse undulations in our hypothetical medium, calculated from the electromagnetic experiments of MM. Kohlrausch and Weber, agrees so exactly with the velocity of light calculated from the optical experiments of M. Fizeau, that we can scarcely avoid the conclusion that light consists in the transverse undulations of the same medium which is the cause of electric and magnetic phenomena."