Mechanics Quotes - page 8
At first it might seem that quantum mechanics (QM), which began with Einstein's photon as the explanation for the photoelectric effect in 1905, goes further in the direction of discreteness. But the wave-particle duality discovered by de Broglie in 1925 is at the heart of QM, which means that this theory is profoundly ambiguous regarding the question of discreteness vs. continuity. QM can have its cake and eat it too, because discreteness is modeled via standing waves (eigenfunctions) in a continuous medium.
Gregory Chaitin
As I was reading the extract from your paper in the geometric sum and difference... I was struck by the marvelous similarity between your results and those discoveries which I made even as early as 1832...
I conceived the first idea of the geometric sum and difference of two or more lines and also of the geometric product of two or three lines in that year (1832). This idea is in all ways identical to that presented in your paper. But since I was for a long time occupied with entirely different pursuits, I could not develop this idea. It was only in 1839 that I was led back to that idea and pursued this geometrical analysis up to the point where it ought to be applicable to all mechanics. It was possible for me to apply this method of analysis to the theory of tides, and in this I was astounded by the simplicity of the calculations resulting from this method.
Hermann Grassmann
Ours, according to Leibnitz, is the best of all possible worlds, and the laws of nature can therefore be described in terms of extremal principles. Thus, arising from corresponding variational problems, the differential equations of mechanics have invariance properties relative to certain groups of coordinate transformations.
Carl Ludwig Siegel
Artists are mechanics who work with their hands, making things. Artists are involved with the means of creativity, the nature of skills, the revelation of making. Art comes from the work, I see a painting as an expressive entity. There's no picture that I know of where the subject carries as much expressive possibility as the actual execution of the picture.
Kenneth Noland
The inner mysteries of quantum mechanics require a willingness to extend one's mental processes into a strange world of phantom possibilities, endlessly branching into more and more abstruse chains of coupled logical networks, endlessly extending themselves forward and even backwards in time.
John Clive Ward
Many facts have lately transpired which tend to overthrow the hypothesis that heat is itself a body, and to prove that it consists in a motion of the ultimate particles of bodies. If this be so, the general principles of mechanics may be applied to heat; this motion may be converted into work, the loss of vis viva in each particular case being proportional to the quantity of work produced.
These circumstances, of which Carnot was also well aware, and the importance of which he expressly admitted, pressingly demand a comparison between heat and work, to be undertaken with reference to the divergent assumption that the production of work is not only due to an alteration in the distribution of heat, but to an actual consumption thereof; and inversely, that by the expenditure of work, heat may be produced.
Rudolf Clausius
Laplace made many important discoveries in mathematical physics... Indeed, he was interested in anything that helped to interpret nature. He worked on hydrodynamics, the wave propagation of sound, and the tides. In the field of chemistry, his work on the liquid state of matter is classic. His studies of the tension in the surface layer of water, which accounts for the rise of liquids inside a capillary tube, and of the cohesive forces in liquids, are fundamental. Laplace and Lavoisier designed an ice calorimeter (1784) to measure heat and measured the specific heat of numerous substances; heat, to them, was still a special kind of matter. Most of Laplace's life was, however, devoted to celestial mechanics.
Morris Kline
Late in my senior year, I went through a crisis of doubt when my provisional girlfriend, a willowy physics major named Morgan Piziks, informed me at the end of our fourth date that anybody seriously in the question "Why?” should look not to philosophy but to the physical sciences-to cosmology, quantum mechanics, molecular biology, and the periodic table of the elements.
My mind went blank. Try as I might, I could contrive no riposte. I felt instinctively that Morgan's claim enjoyed the nontrivial virtue of being true.
James K. Morrow
It is to the director of workshops and factories that it is suitable to make, by means of geometry and applied mechanics, a special study of all the ways to economize the efforts of workers... For a man to be a director of others, manual work has only a secondary importance; it is his intellectual ability (force intellectuelle) that must put him in the top position, and it is in instruction such as that of the Conservatory of the Arts and Professions, that he must develop it.
Charles Dupin
For 12 years I have had the honor of teaching geometry and mechanics applied to the arts, in favor of the industrial class... on the most important questions to the well-being, education, and morality of the workers, to the progress of national industry, to the development of all means of prosperity that work can produce for the splendor and happiness of our country.
Charles Dupin
Many of the founders of quantum mechanics, including Einstein, Erwin Schrödinger, and Louis de Broglie... were realists. For them quantum theory... was not a complete theory, because it did not provide a picture of reality absent our interaction with it. On the other side were Niels Bohr, Werner Heisenberg, and many others. Rather than being appalled, they embraced this new way of doing science.
Lee Smolin
To the scientists of 1850, Hamilton's principle was the realization of a dream. ...from the time of Galileo scientists had been striving to deduce as many phenomena of nature as possible from a few fundamental physical principles. ...they made striking progress ...But even before these successes were achieved Descartes had already expressed the hope and expectation that all the laws of science would be derivable from a single basic law of the universe. This hope became a driving force in the late eighteenth century after Maupertuis's and Euler's work showed that optics and mechanics could very likely be unified under one principle. Hamilton's achievement in encompassing the most developed and largest branches of physical science, mechanics, optics, electricity, and magnetism under one principle was therefore regarded as the pinnacle of mathematical physics.
Morris Kline
Roll a ball under your hand on a table and roll a pencil in the same manner. What you feel are "point" and "line" bearings. But to understand what mechanics mean by a surface "bearing," grasp a pencil in your hand and use your other hand to make it turn as a piece of shafting. Now, the lower half of the shaft is supported everywhere by contact with your hand - the upper half is not supported, merely covered. The advantages of ball and roller bearings were obvious many years ago to mechanical people... Solid steel rollers, being inflexible, were not satisfactory at that stage, but a Hyatt flexible roller bearing was different. We had something. Our spirally wound tube roller had a springlike quality, yielded to irregularities caused by poor manufacture, thus making automatic adjustments between housing and bearing.
Alfred P. Sloan
I came away from the two science surveys superficially acquainted with what was already a rather old-fashioned version of contemporary natural science. Relativity and quantum mechanics were mentioned... but not explained; the stars were still eternal; and both subatomic particles and biochemistry were discreetly omitted. ...The two courses persuaded me that, in some sense, I understood the natural world. The illusion endured, for later in life... I tagged along by reading popular accounts, believing that the natural world out there was somehow within my reach, even without the mathematics that made quantum mechanics so mysteriously plausible.
William H. McNeill
Women now fly heavy planes successfully; they help build planes, do mechanics' work. In England they've taken over a large share of all material labor in fields and factories; they've taken over police and home defence duties. In China a corps of 300,000 women under the supreme command of Madame Chiang Kai-shek perform the dangerous function of saving lives and repairing damage after Japanese air raids. This huge female strong- arm squad is officered efficiently by 3,000 women. Here in this country we've started a Women's Auxilary Army and Navy Corps that will do everything men soldiers and sailors do except the actual fighting. Prior to the First World War nobody believed that women could perform these feats of physical strength. But they're performing them now and thinking nothing of it. In this far worse: war, women will develop still greater female power; by the end of the war that traditional description the weaker sex" will be a joke-it will cease to have any meaning.
William Moulton Marston
King Kong was difficult only because of the hours we had to put in. At that time, there was no protection for actors about time or anything. We worked straight through for 22 hours once on Kong. It was really a wearying experience, because it was mechanics, really, as much as anything that we were dealing with. The technicality was transparency to transparency from the rear, and then re-photographing me in the foreground on the same level with that screen-so I couldn't really see what was happening at all! It had to be done many, many times to confirm that it was okay. So we worked for 22 hours!
Fay Wray
Classical mechanics is mathematical not only in the sense that it makes use of mathematical terms and methods for abbreviating arguments which might, if necessary, also be expressed in the language of everyday speech; it is so also in the much more stringent sense that its basic concepts are mathematical concepts, that mechanics itself is a mathematics.
Eduard Jan Dijksterhuis
