Mechanics Theory Quotes & Sayings

General relativity is in the old Newtonian framework where you predict what will happen, not the probability of what will happen. And putting together the probabilities of quantum mechanics with the certainty of general relativity, that's been the big challenge and that's why we have been excited about string theory, as it's one of the only approaches that can put it together. — Brian Greene

There is a mathematical underpinning that you must first acquire, mastery of each mathematical subdiscipline leading you to the threshold of the next. In turn you must learn arithmetic, Euclidian geometry, high school algebra, differential and integral calculus, ordinary and partial differential equations, vector calculus, certain special functions of mathematical physics, matrix algebra, and group theory. For most physics students, this might occupy them from, say, third grade to early graduate school - roughly 15 years. Such a course of study does not actually involve learning any quantum mechanics, but merely establishing the mathematical framework required to approach it deeply. — Carl Sagan

Another very good test some readers may want to look up, which we do not have space to describe here, is the Casimir effect, where forces between metal plates in empty space are modified by the presence of virtual particles.

Thus virtual particles are indeed real and have observable effects that physicists have devised ways of measuring. Their properties and consequences are well established and well understood consequences of quantum mechanics. — Gordon L. Kane

String theory?[pause] It closed the conceptual gulp between relativity and quantum mechanics. It postulates that subatomic particles are not points, but strings, about one planck length long. The rate at which strings vibrate can generate the properties of all known particles. Huh? How did I know that? — Willie Garson

In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry ... you cannot count upon success, if your mind is not sufficiently exercised on the forms and demonstrations of geometry, on the theories and calculations of arithmetic ... In a word, the theory of proportions is for industrial teaching, what algebra is for the most elevated mathematical teaching. — Jean-Victor Poncelet

Einstein's paper on the photoelectric effect was the work for which he ultimately won the Nobel Prize. It was published in 1905, and Einstein has another paper in the very same journal where it appeared - his other paper was the one that formulated the special theory of relativity. That's what it was like to be Einstein in 1905; you publish a groundbreaking paper that helps lay the foundation of quantum mechanics, and for which you later win the Nobel Prize, but it's only the second most important paper that you publish in that issue of the journal. — Sean Carroll

Quantum theory provides us with a striking illustration of the fact that we can fully understand a connection though we can only speak of it in images and parables. — Werner Heisenberg

You create reality by looking at it, is what Quantum Mechanics suggests. This may sound outrageously magical. Quantum Mechanics or QM, is the physics of the microscopic world. It is a strange theory that took birth in the early 20th century and continues to dazzle scientists and philosophers today. So much so, that QM is regarded as the gateway to the world of consciousness, bringing science and spiritualty together. Science has entered domain of philosophy and consciousness/spirituality through Quantum Mechanics, making it a hot topic for debate among intellectuals from both scientific and philosophical domains. Some physicists even insist on making philosophy of physics! — Sharad Nalawade

I think that the obscurity of the theory is not the fault of quantum mechanics but is rather due to the limited capacity of our imagination. When we try to "see" the quantum world, we are rather like moles used to living underground, to whom someone is trying to describe the Himalayas. Or like the men imprisoned at the back of Plato's cave. — Carlo Rovelli

The Theory of Relativity confers an absolute meaning on a magnitude which in classical theory has only a relative significance: the velocity of light. The velocity of light is to the Theory of Relativity as the elementary quantum of action is to the Quantum Theory: it is its absolute core. — Max Planck

The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation. — Paul Dirac

I count Maxwell and Einstein, Eddington and Dirac, among "real" mathematicians. The great modern achievements of applied mathematics have been in relativity and quantum mechanics, and these subjects are at present at any rate, almost as "useless" as the theory of numbers. — G.H. Hardy

The words 'theory' and 'practice' are of Greek origin; they carry our thoughts back to the ancient philosophers by whom they were contrived, and by whom they were also contrasted and placed in opposition, as denoting two mutually conflicting and mutually inconsistent ideas ... [this fallacy] based on a double system of natural laws retarded for centuries the development of physical science, notably mechanics. — William John Macquorn Rankine

The birth of science as we know it arguably began with Isaac Newton's formulation of the laws of gravitation and motion. It is no exaggeration to say that physics was reborn in the early 20th-century with the twin revolutions of quantum mechanics and the theory of relativity. — Paul Davies

From the point of view of logic, my report on 'Exclusion principle and quantum mechanics' has no conclusion. I believe that it will only be possible to write the conclusion if a theory will be established which will determine the value of the fine structure constant and will thus explain the atomistic structure of electricity, which is such an essential quality of all atomic sources of electric fields actually occurring in nature. — Wolfgang Pauli

Unfortunately, most of the prevailing descriptions of quantum theory tend to emphasize puzzles and paradoxes in a way that makes philosophers, theologians, and even non-physicist scientists leery of actually using in any deep way the profound changes in our understanding of human beings in nature wrought by the quantum revolution. Yet, properly presented, quantum mechanics is thoroughly in line with our deep human intuitions. It is the 300 years of indoctrination with basically false ideas about how nature works that now makes puzzling a process that is completely in line with normal human intuition. — Paul Davies

Each electron wants the whole of three-dimensional space for its waves; so Schrodinger generously allows three dimensions for each of them. For two electrons he requires a six-dimensional sub-aether. He then successfully applies his method on the same lines as before. I think you will see now that Schrodinger has given us what seemed to be a comprehensible physical picture only to snatch it away again. His sub-aether does not exist in physical space; it is in a 'configuration space' imagined by the mathematician for the purpose of solving his problems, and imagined afresh with different numbers of dimensions according to the problem proposed. It was only an accident that in the earliest problems considered the configuration space had a close correspondence with physical space, suggesting some degree of objective reality of the waves. Schrodinger's wave mechanics is not a physical theory but a dodge - and a very good dodge too. — Arthur Stanley Eddington

It would take a civilization far more advanced than ours, unbelievably advanced, to begin to manipulate negative energy to create gateways to the past. But if you could obtain large quantities of negative energy - and that's a big "IF" - then you could create a time machine that apparently obeys Einstein's equation and perhaps the laws of quantum theory. — Michio Kaku

I am a figure skater, which helps me appreciate Newton's theory of mechanics. — Michio Kaku

According to string theory in quantum mechanics the core of energy and matter on a subatomic level is a vibrating, string-like filament that is identical in all energy and matter. — Russell Anthony Gibbs

Should a priest reject relativity because it contains no authoritative exposition on the doctrine of the Trinity? Once you realize that the Bible does not purport to be a textbook of science, the old controversy between religion and science vanishes ... The doctrine of the Trinity is much more abstruse than anything in relativity or quantum mechanics; but, being necessary for salvation, the doctrine is stated in the Bible. If the theory of relativity had also been necessary for salvation, it would have been revealed to Saint Paul or to Moses. — Georges Lemaitre

Quantum mechanics is certainly imposing. But an inner voice tells me that this is not yet the real thing. The theory says a lot, but does not bring us any closer to the secrets of the "Old One." I, at any rate, am convinced that He is not playing at dice. — Albert Einstein

It seems clear that the present quantum mechanics is not in its final form. Some further changes will be needed, just about as drastic as the changes made in passing from Bohr's orbit theory to quantum mechanics. Some day a new quantum mechanics, a relativistic one, will be discovered, in which we will not have these infinities occurring at all. It might very well be that the new quantum mechanics will have determinism in the way that Einstein wanted. — Paul Dirac

The most important single thing about string theory is that it's a highly mathematical theory, and the mathematics holds together in a very tight and consistent way. It contains in its basic structure both quantum mechanics and the theory of gravity. That's big news. — Leonard Susskind

Because the theory of quantum mechanics could explain all of chemistry and the various properties of substances, it was a tremendous success. But still there was the problem of the interaction of light and matter. — Richard P. Feynman

General theory of relativity and quantum mechanics. They are the great intellectual achievements of the first half of this century. — Stephen Hawking

Einstein comes along and says, space and time can warp and curve, that's what gravity is. Now string theory comes along and says, yes, gravity, quantum mechanics, electromagnetism - all together in one package, but only if the universe has more dimensions than the ones that we see. — Brian Greene

Quantum field theory was originally developed for the treatment of electrodynamics, immediately after the completion of quantum mechanics and the discovery of the Dirac equation. — David Gross

We are a manifestation that we perpetuate through space-time. Death is the ceasing of the observation of it whether by direct or indirect influence. — Solange Nicole

String theory is the most developed theory with the capacity to unite general relativity and quantum mechanics in a consistent manner. I do believe the universe is consistent, and therefore I do believe that general relativity and quantum mechanics should be put together in a manner that makes sense. — Brian Greene

Thus it can be argued that quantum theory provides an opening for an idea of nature and of our role within it that is in general accord with certain religious concepts, but that, by contrast, is quite incompatible with the precepts of mechanistic deterministic classical physics. Thus the replacement of classical mechanics by quantum mechanics opens the door to religious possibilities that formerly were rationally excluded. — Paul Davies

Renormalization is just a stop-gap procedure. There must be some fundamental change in our ideas, probably a change just as fundamental as the passage from Bohr's orbit theory to quantum mechanics. When you get a number turning out to be infinite which ought to be finite, you should admit that there is something wrong with your equations, and not hope that you can get a good theory just by doctoring up that number. — Paul Dirac

A universe of classical particles is devoid of knowledge because the universe can only be itself and not a representation of something else. If the universe was only composed of classical particles, then there would only be physical properties but no meanings. The idea that we can have information about an object without becoming that object is central to all knowledge. — Ashish Dalela

My colleagues and I were 9 to 5 psychologists: we came to work every day and we did our psychology, just like you would do insurance or auto mechanics, and then at 5 we went home and were just as neurotic as we were before we went to work. Somehow, it seemed to me, if all of this theory were right, it should play more intimately into my own life. — Ram Dass

Quantum field theory, which was born just fifty years ago from the marriage of quantum mechanics with relativity, is a beautiful but not very robust child. — Steven Weinberg

One can still say that quantum mechanics is the key to understanding magnetism. When one enters the first room with this key there are unexpected rooms beyond, but it is always the master key that unlocks each door. — John H. Van Vleck

Where misunderstanding dwells, misuse will not be far behind. No theory in the history of science has been more misused and abused by cranks and charlatans - and misunderstood by people struggling in good faith with difficult ideas - than quantum mechanics. — Sean Carroll

The constant back and forth between the poles of the android id and the human ego gave rise to the soul drama of the mid-Modern Age, which was simultaneously a technical drama. Its topic is best summarized in a theory of convergence, where the android moves towards its animation while increasing parts of real human existence are demystified as higher forms of mechanics. The uncanny (which Freud knew something about) and the disappointing (on which he chose to remain silent) move towards each other. The ensoulment of the machine is strictly proportional to the desoulment of humans. — Peter Sloterdijk

Seriousness of mind was a prerequisite for understanding Newtonian physics. I am not convinced it is not a handicap in understanding quantum theory. — Connie Willis

There's a branch of math called the foundations of math. It's kind of like quantum mechanics. It's about how this very complex theory of math can be built up from very basic parts. — Tristan Perich

You are deluded if you think that the world around you is a physical construct separate from your own mind. — Kevin Michel

A mathematician says that an electromagnetic wave travels from Andromeda to your eye and that it also extends from Andromeda to your eye. — Bill Gaede

When the province of physical theory was extended to encompass microscopic phenomena through the creation of quantum mechanics, the concept of consciousness came to the fore again. It was not possible to formulate the laws of quantum mechanics in a fully consistent way without reference to the consciousness. — Eugene Wigner

The theory of relativity and quantum mechanics argue that you can twist time and space, that something can appear out of nothing, and that a cat can be both alive and dead at the same time. This makes a mockery of our common sense, yet nobody seeks to protect innocent schoolchildren from these scandalous ideas. Why? The theory of relativity makes nobody angry, because it doesn't contradict any of our cherished beliefs. Most people don't care an iota whether space and time are absolute or relative. If you think it is possible to bend space and time, well, be my guest. Go ahead and bend them. What do I care? In contrast, Darwin has deprived us of our souls — Yuval Noah Harari

I do feel strongly that string theory is our best hope for making progress at unifying gravity and quantum mechanics. — Brian Greene

Scientists, therefore, are responsible for their research, not only intellectually but also morally. This responsibility has become an important issue in many of today's sciences, but especially so in physics, in which the results of quantum mechanics and relativity theory have opened up two very different paths for physicists to pursue. They may lead us - to put it in extreme terms - to the Buddha or to the Bomb, and it is up to each of us to decide which path to take. — Fritjof Capra

The current leading candidates for dark matter are particles predicted to exist from supersymmetric theories, extensions of current particle physics that include a new symmetry of Nature. The reader may recognize the "super" in supersymmetry from superstring theory, a candidate theory for unifying general relativity and quantum mechanics. As of the winter of 2014, no evidence for supersymmetry had been found, despite decades of intense search and the enthusiastic support of many physicists. At this point, it is unclear and somewhat doubtful that supersymmetry is realized in Nature. — Marcelo Gleiser

The scientists often have more unfettered imaginations than current philosophers do. Relativity theory came as a complete surprise to philosophers, and so did quantum mechanics, and so did other things. — Robert Nozick

A theory of reality must not only explain reality, but also knowledge about that reality because knowing reality is part of reality. — Ashish Dalela

Despite the earnest belief of most of his fans, Einstein did not win his Nobel Prize for the theory of relativity, special or general. He won for explaining a strange effect in quantum mechanics, the photoelectric effect. His solution provided the first real evidence that quantum mechanics wasn't a crude stopgap for justifying anomalous experiments, but actually corresponds to reality. And the fact that Einstein came up with it is ironic for two reasons. One, as he got older and crustier, Einstein came to distrust quantum mechanics. Its statistical and deeply probabilistic nature sounded too much like gambling to him, and it prompted him to object that "God does not play dice with the universe." He was wrong, and it's too bad that most people have never heard the rejoinder by Niels Bohr: "Einstein! Stop telling God what to do. — Sam Kean

The very nature of the quantum theory ... forces us to regard the space-time coordination and the claim of causality, the union of which characterizes the classical theories, as complementary but exclusive features of the description, symbolizing the idealization of observation and description, respectively. — Niels Bohr

Cell genetics led us to investigate cell mechanics. Cell mechanics now compels us to infer the structures underlying it. In seeking the mechanism of heredity and variation we are thus discovering the molecular basis of growth and reproduction. The theory of the cell revealed the unity of living processes; the study of the cell is beginning to reveal their physical foundations. — C.D. Darlington

I think actually if you take the analogy with other areas of engineering, and increasingly of science and even mathematics, you can see people do not have to learn the vast number of formulae they used to learn. Instead, they have to learn to use the computer effectively. This frees them, I feel, to understand concepts and the foundations while they're learning the mechanics of the application of the theory. — C.A.R. Hoare

'Participant' is the incontrovertible new concept given by quantum mechanics. It strikes down the 'observer' of classical theory, the man who stands safely behind the thick glass wall and watches what goes on without taking part. It can't be done, quantum mechanics says it ... May the universe in some sense be 'brought into being' by the participation of those who participate? — John Archibald Wheeler

One of the most exciting things about dark energy is that it seems to live at the very nexus of two of our most successful theories of physics: quantum mechanics, which explains the physics of the small, and Einstein's Theory of General Relativity, which explains the physics of the large, including gravity. — Adam Riess

There was quantum mechanics, string theory, and then there was the most mind-bending frontier of the natural world, women. — Marisha Pessl

Time is described only in terms of change in the network of relationships that describes space. This means that it is absurd in general relativity to speak of a universe in which nothing happens. Time is nothing but a measure of change-it has no other meaning. Neither space nor time has any existence outside the system of evolving relationships that comprises the universe. Physicists refer to this feature of general relativity as background independence. By this we mean that there is no fixed background, or stage, that remains fixed for all time. In contrast, a theory such as Newtonian mechanics or electromagmetism is background dependent because it assumes that there exists a fixed, unchanging background that provides the ultimate answer to all questions about where and when. — Lee Smolin

The problem is that replacement of Quantum Mechanics by Quantum Field Theory is still very demanding. — Martin Fleischmann

Einstein was searching for String Theory. It not only reconciles General Relativity to Quantum Mechanics, but it reconciles Science and the Bible as well. — Roy H. Williams

Wolfgang Pauli, in the months before Heisenberg's paper on matrix mechanics pointed the way to a new quantum theory, wrote to a friend, "At the moment physics is again terribly confused. In any case, it is too difficult for me, and I wish I had been a movie comedian or something of the sort and had never heard of physics." That testimony is particularly impressive if contrasted with Pauli's words less than five months later: "Heisenberg's type of mechanics has again given me hope and joy in life. To be sure it does not supply the solution to the riddle, but I believe it is again possible to march forward. — Wolfgang Pauli

Einstein's theory of relativity does a fantastic job for explaining big things. Quantum mechanics is fantastic for the other end of the spectrum - for small things. — Brian Greene

All perception is the result of electrical impulses in the brain - the world of the individual is tantamount to a highly advanced computer running and analyzing programs in its working memory. — Kevin Michel

A university student attending lectures on general relativity i the morning and others on quantum mechanics in the afternoon might be forgiven for thinking that his professors are fools, or have neglected to communicate with each other for at least a century. — Carlo Rovelli

This irrelevance of molecular arrangements for macroscopic results has given rise to the tendency to confine physics and chemistry to the study of homogeneous systems as well as homogeneous classes. In statistical mechanics a great deal of labor is in fact spent on showing that homogeneous systems and homogeneous classes are closely related and to a considerable extent interchangeable concepts of theoretical analysis (Gibbs theory). Naturally, this is not an accident. The methods of physics and chemistry are ideally suited for dealing with homogeneous classes with their interchangeable components. But experience shows that the objects of biology are radically inhomogeneous both as systems (structurally) and as classes (generically). Therefore, the method of biology and, consequently, its results will differ widely from the method and results of physical science. — Walter M. Elsasser

If you start any large theory, such as quantum mechanics, plate tectonics, evolution, it takes about 40 years for mainstream science to come around. Gaia has been going for only 30 years or so. — James Lovelock

Quantum mechanics, that brilliantly successful flagship theory of modern science, is deeply mysterious and hard to understand. Eastern mystics have always been deeply mysterious and hard to understand. Therefore, Eastern mystics must have been talking about quantum theory all along. — Richard Dawkins