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Werner Heisenberg

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We have to remember that what we observe is not nature herself, but nature exposed to our method of questioning.

Werner Karl Heisenberg (5 December 1901 – 1 February 1976) was a German theoretical physicist, one of the main pioneers of the theory of quantum mechanics, and a principal scientist in the Nazi nuclear weapons program during World War II. He published his Umdeutung paper in 1925, a major reinterpretation of old quantum theory. In the subsequent series of papers with Max Born and Pascual Jordan, during the same year, his matrix formulation of quantum mechanics was substantially elaborated. He is known for the uncertainty principle, which he published in 1927. Heisenberg was awarded the 1932 Nobel Prize in Physics "for the creation of quantum mechanics".

Quotes

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It has been possible to invent a mathematical scheme. Made by Kendall & Kaine... which seems entirely adequate for the treatment of atomic processes; for visualisation, however, we must content ourselves with two incomplete analogies — the wave picture and the corpuscular picture.
There is a fundamental error in separating the parts from the whole, the mistake of atomizing what should not be atomized. Unity and complementarity constitute reality.
I remember discussions with Bohr which went through many hours till very late at night and ended almost in despair… Can nature possibly be so absurd as it seemed to us in these atomic experiments?
  • The more precise the measurement of position, the more imprecise the measurement of momentum, and vice versa.
  • Light and matter are both single entities, and the apparent duality arises in the limitations of our language. It is not surprising that our language should be incapable of describing the processes occurring within the atoms, for, as has been remarked, it was invented to describe the experiences of daily life, and these consist only of processes involving exceedingly large numbers of atoms. Furthermore, it is very difficult to modify our language so that it will be able to describe these atomic processes, for words can only describe things of which we can form mental pictures, and this ability, too, is a result of daily experience. Fortunately, mathematics is not subject to this limitation, and it has been possible to invent a mathematical scheme — the quantum theory — which seems entirely adequate for the treatment of atomic processes; for visualisation, however, we must content ourselves with two incomplete analogies — the wave picture and the corpuscular picture.
    • "Introductory" in The Physical Principles of the Quantum Theory (1930) as translated by Carl Eckhart and Frank C. Hoyt, p. 10
  • Every experiment destroys some of the knowledge of the system which was obtained by previous experiments.
    • "Critique of the Physical Concepts of the Corpuscular Theory" in The Physical Principles of the Quantum Theory (1930) as translated by Carl Eckhart and Frank C. Hoyt, p. 20; also in "The Uncertainty Principle" in The World of Mathematics : A Small Library of the Literature of Mathematics (1956) by James Roy Newman, p. 1051
  • 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.
    • Die Quantentheorie ist so ein wunderbares Beispiel dafür, daß man einen Sachverhalt in völliger Klarheit verstanden haben kann und gleichzeitig doch weiß, daß man nur in Bildern und Gleichnissen von ihm reden kann.
    • Der Teil und das Ganze. Gespräche im Umkreis der Atomphysik (1969); also in "Kein Chaos, aus dem nicht wieder Ordnung würde", Die Zeit No. 34 (22 August 1969); as translated in Physics and Beyond : Encounters and Conversation (1971)
  • An expert is someone who knows some of the worst mistakes that can be made in his subject, and how to avoid them.
    • Ein Fachmann ist ein Mann, der einige der gröbsten Fehler kennt, die man in dem betreffenden Fach machen kann, und der sie deshalb zu vermeiden versteht.
    • Der Teil und das Ganze. Gespräche im Umkreis der Atomphysik (1969); also in "Kein Chaos, aus dem nicht wieder Ordnung würde", Die Zeit No. 34 (22 August 1969); as translated in Physics and Beyond : Encounters and Conversation (1971)
  • One evening I reached the point where I was ready to determine the individual terms in the energy table, or, as we put it today, in the energy matrix, by what would now be considered an extremely clumsy series of calculations. When the first terms seemed to accord with the energy principle, I became rather excited, and I began to make countless arithmetical errors. As a result, it was almost three o'clock in the morning before the final result of my computations lay before me. The energy principle had held for all terms, and I could no longer doubt the mathematical consistency and coherence of the kind of quantum mechanics to which my calculations pointed. At first, I was deeply alarmed. I had the feeling that, through the surface of atomic phenomena, I was looking at a strangely beautiful interior, and I felt almost giddy at the thought that I now had to probe this wealth of mathematical structures nature had so generously spread out before me. I was far too excited to sleep, and so, as a new day dawned, I made for the southern tip of the island, where I had been longing to climb a rock jutting out into the sea. I now did so without too much trouble, and waited for the sun to rise.
    • Physics and Beyond: Encounters and Conversations (1971), p. 61.
  • In general, scientific progress calls for no more than the absorption and elaboration of new ideas — and this is a call most scientists are happy to heed.
    • Physics and Beyond : Encounters and Conversation (1971), p. 70
  • The problem of values is nothing but the problem of our acts, goals and morals. It concerns the compass by which we must steer our ship if we are to set a true course through life. The compass itself has been given different names by various religions and philosophies: happiness, the will of God, the meaning of life-to mention just a few. The differences in the names reflect profound differences in the awareness of different human groups. I have no wish to belittle these differences, but I have the clear impression that all such formulations try to express man's relatedness to a central order.
    • Physics and Beyond : Encounters and Conversation (1971), p. 214
  • Can you, or anyone else, reach the central order of things or events, whose existence seems beyond doubt, as directly as you can reach the soul of another human being? I am using the term 'soul' quite deliberately so as not to be misunderstood. If you put your question like that, I would say yes. ... the word 'soul' refers to the central order, to the inner core of a being whose outer manifestations may be highly diverse and pass our understanding.
    • In response to the question "Do you believe in a personal God?" from Wolfgang Pauli, as recalled in Physics and Beyond : Encounters and Conversation (1971), p. 215
  • There is a fundamental error in separating the parts from the whole, the mistake of atomizing what should not be atomized. Unity and complementarity constitute reality.
    • Heisenberg's praise for Ruth Anshen's book Biography of An Idea found on the back cover—the book was published in 1986 after his death, but was the result of conversations over many years, including some with Heisenberg discussed starting on p. 39.
The smallest units of matter are not physical objects in the ordinary sense; they are forms, ideas which can be expressed unambiguously only in mathematical language.
  • After these conversations with Tagore some of the ideas that had seemed so crazy suddenly made much more sense. That was a great help for me.
    • On conversations with Rabindranath Tagore, as quoted in Uncommon Wisdom: Conversations With Remarkable People (1988) by Fritjof Capra, who states that after these "He began to see that the recognition of relativity, interconnectedness, and impermanence as fundamental aspects of physical reality, which had been so difficult for himself and his fellow physicists, was the very basis of the Indian spiritual traditions."
    • Variant: After the conversations about Indian philosophy, some of the ideas of Quantum Physics that had seemed so crazy suddenly made much more sense.
      • As quoted in Pride of India (2006) by Samskrita Bharati. p. 56
  • I think that modern physics has definitely decided in favor of Plato. In fact the smallest units of matter are not physical objects in the ordinary sense; they are forms, ideas which can be expressed unambiguously only in mathematical language.
    • Das Naturgesetz und die Struktur der Materie (1967), as translated in Natural Law and the Structure of Matter (1981), p. 34
  • If nature leads us to mathematical forms of great simplicity and beauty—by forms I am referring to coherent systems of hypothesis, axioms, etc.—to forms that no one has previously encountered, we cannot help thinking that they are "true," that they reveal a genuine feature of nature. It may be that these forms also cover our subjective relationship to nature, that they reflect elements of our own thought economy. But the mere fact that we could never have arrived at these forms by ourselves, that they were revealed to us by nature, suggests strongly that they must be part of reality itself, not just of our thoughts about reality. ... You must have felt this too: The almost frightening simplicity and wholeness of relationships which nature suddenly spreads out before us and for which none of us was in the least prepared.
    • Conversation with Einstein, recalled English translation of his book Physics and Beyond (1971), pp. 68-69.
  • Of course, we all know that our own reality depends on the structure of our consciousness; we can objectify no more than a small part of our world. But even when we try to probe into the subjective realm, we cannot ignore the central order…In the final analysis, the central order, or 'the one' as it used to be called and with which we commune in the language of religion, must win out.
  • The great scientific contribution in theoretical physics that has come from Japan since the last war may be an indication of a certain relationship between philosophical ideas in the tradition of the Far East and the philosophical substance of quantum theory.
    • Quoted from F. Capra, The Tao of Physics.
  • After a great war, history is written by the victors and legends develop which glorify them.
    • from p. 35 of "The Third Reich and The Atomic Bomb [Review of The Virus House by David Irving]" in The Bulletin of the Atomic Scientists (Pp. 34-35, June 1968), translated from the German by Margaret Seckel.
  • If one finds a difficulty in a calculation which is otherwise quite convincing, one should not push the difficulty away; one should rather try to make it the centre of the whole thing.
    • The Historical Development of Quantum Theory, Vol. 3: The Formulation of Matrix Mechanics and Its Modifications, 1925-1926 by Jagdish Mehra and Helmut Rechenberg, Springer-Verlag, New York, 1982, p. 94.
  • I was lucky enough to look over the good Lord's shoulder while He was at work.
    • Quoted in Elisabeth Heisenberg. (1984). Inner exile. p. 143. Translated by S. Cappellari, and C. Morris. Boston: Birkhauser.
  • If nature leads us to mathematical forms of great simplicity and beauty... that no one has previously encountered, we cannot help thinking that they are "true", that they reveal a genuine feature of nature... You must have felt this too: the almost frightening simplicity and wholeness of the relationships which nature suddenly spreads out before us and for which none of us was in the least prepared.

The Development of Quantum Mechanics (1933)

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Nobel lecture (11 December 1933) Full text online (PDF)
The ultimate shape owes its genesis partly to an element of chance which in principle cannot be analysed further
  • The interest of research workers has frequently been focused on the phenomenon of regularly shaped crystals suddenly forming from a liquid, e.g. a supersaturated salt solution. According to the atomic theory the forming force in this process is to a certain extent the symmetry characteristic of the solution to Schrödinger's wave equation, and to that extent crystallization is explained by the atomic theory. Nevertheless this process retains a statistical and — one might almost say — historical element which cannot be further reduced: even when the state of the liquid is completely known before crystallization, the shape of the crystal is not determined by the laws of quantum mechanics. The formation of regular shapes is just far more probable than that of a shapeless lump. But the ultimate shape owes its genesis partly to an element of chance which in principle cannot be analysed further.
  • However the development proceeds in detail, the path so far traced by the quantum theory indicates that an understanding of those still unclarified features of atomic physics can only be acquired by foregoing visualization and objectification to an extent greater than that customary hitherto. We have probably no reason to regret this, because the thought of the great epistemological difficulties with which the visual atom concept of earlier physics had to contend gives us the hope that the abstracter atomic physics developing at present will one day fit more harmoniously into the great edifice of Science.

Physics and Philosophy (1958)

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Physics and Philosophy: The Revolution in Modern Science (1958) Lectures delivered at University of St. Andrews, Scotland, Winter 1955-56.
The existing scientific concepts cover always only a very limited part of reality, and the other part that has not yet been understood is infinite.
  • We have to remember that what we observe is not nature herself, but nature exposed to our method of questioning.
    • This has also appeared in the alternate form: "What we observe is not nature itself, but nature exposed to our method of questioning."
  • The atoms in the philosophy of Leucippus do not move merely by chance. Leucippus seems to have believed in complete determinism, since he is known to have said: "Naught happens for nothing, but everything from a ground and of necessity." The atomists did not give any reason for the original motion of the atoms, which just shows that they thought of a causal description of the atomic motion; causality can only explain later events by earlier events, but it can never explain the beginning.
Whenever we proceed from the known into the unknown we may hope to understand, but we may have to learn at the same time a new meaning of the word "understanding."
  • In the philosophy of Democritus the atoms are eternal and indestructible units of matter, they can never be transformed into each other. With regard to this question modern physics takes a definite stand against the materialism of Democritus and for Plato and the Pythagoreans. The elementary particles are certainly not eternal and indestructible units of matter, they can actually be transformed into each other. As a matter of fact, if two such particles, moving through space with a very high kinetic energy, collide, then many new elementary particles may be created from the available energy and the old particles may have disappeared in the collision. Such events have been frequently observed and offer the best proof that all particles are made of the same substance: energy.
  • But the resemblance of the modern views to those of Plato and the Pythagoreans can be carried somewhat further. The elementary particles in Plato's Timaeus are finally not substance but mathematical forms. "All things are numbers" is a sentence attributed to Pythagoras. The only mathematical forms available at that time were such geometric forms as the regular solids or the triangles which form their surface. In modern quantum theory there can be no doubt that the elementary particles will finally also be mathematical forms but of a much more complicated nature.
  • The Greek philosophers thought of static forms and found them in the regular solids. Modern science, however, has from its beginning in the sixteenth and seventeenth centuries started from the dynamic problem. The constant element in physics since Newton is not a configuration or a geometrical form, but a dynamic law.
  • The equation of motion holds at all times, it is in this sense eternal, whereas the geometrical forms, like the orbits, are changing. Therefore, the mathematical forms that represent the elementary particles will be solutions of some eternal law of motion for matter. Actually this is a problem which has not yet been solved.
  • There is an enormous difference between modern science and Greek philosophy, and that is just the empiristic attitude... Since the time of Galileo and Newton, modern science has been based upon a detailed study of nature and upon the postulate that only such statements should be made, as have been verified or at least can be verified by experiment. The idea that one can single out some events from nature by an experiment... to find out what is the constant law in the continuous change, did not occur to the Greek philosophers. Therefore, modern science has from its beginning stood on a much more modest, but at the same time much firmer, basis than ancient philosophy. Therefore, the statements of modern physics are in some way meant much more seriously than the statements of Greek philosophy.
  • [I]n the Copenhagen interpretation of quantum theory we can indeed proceed without mentioning ourselves as individuals, but we cannot disregard the fact that natural science is formed by men. Natural science does not simply describe and explain nature; it is part of the interplay between nature and ourselves; it describes nature as exposed to our nature of questioning. This was a possibility of which Descartes could not have thought, but it makes a sharp separation between the world and the I impossible.
    If one follows the great difficulty which even eminent scientists like Einstein had     in understanding and accepting the Copenhagen interpretation... one can trace the roots... to the Cartesian partition....it will take a long time for it [this partition] to be replaced by a really different attitude toward the problem of reality.
  • Modern positivism...expresses criticism against the naïve use of certain terms... by the general postulate that the question whether a given sentence has any meaning... should always be thoroughly and critically examined. This... is derived from mathematical logic. The procedure of natural science is pictured as an attachment of symbols to the phenomena. The symbols can, as in mathematics, be combined according to certain rules... However, a combination of symbols that does not comply with the rules is not wrong but conveys no meaning.
    The obvious difficulty in this argument is the lack of any general criterion as to when a sentence should be considered meaningless. A definite decision is possible only when the sentence belongs to a closed system of concepts and axioms, which in the development of natural science will be rather the exception than the rule. In some case the conjecture that a certain sentence is meaningless has historically led to important progress... new connections which would have been impossible if the sentence had a meaning. An example... sentence: "In which orbit does the electron move around the nucleus?" But generally the positivistic scheme taken from mathematical logic is too narrow in a description of nature which necessarily uses words and concepts that are only vaguely defined.
  • The words "position" and "velocity" of an electron... seemed perfectly well defined... and in fact they were clearly defined concepts within the mathematical framework of Newtonian mechanics. But actually they were not well defined, as seen from the relations of uncertainty. One may say that regarding their position in Newtonian mechanics they were well defined, but in their relation to nature, they were not. This shows that we can never know beforehand which limitations will be put on the applicability of certain concepts by the extension of our knowledge into the remote parts of nature, into which we can only penetrate with the most elaborate tools. Therefore, in the process of penetration we are bound sometimes to use our concepts in a way which is not justified and which carries no meaning. Insistence on the postulate of complete logical clarification would make science impossible. We are reminded... of the old wisdom that one who insists on never uttering an error must remain silent.
  • The law of causality is no longer applied in quantum theory and the law of conservation of matter is no longer true for the elementary particles. Obviously Kant could not have foreseen the new discoveries, but since he was convinced that his concepts would be "the basis of any future metaphysics that can be called science" it is interesting to see where his arguments have been wrong.
  • Any concepts or words which have been formed in the past through the interplay between the world and ourselves are not really sharply defined with respect to their meaning: that is to say, we do not know exactly how far they will help us in finding our way in the world. We often know that they can be applied to a wide range of inner or outer experience, but we practically never know precisely the limits of their applicability. This is true even of the simplest and most general concepts like "existence" and "space and time". Therefore, it will never be possible by pure reason to arrive at some absolute truth.
    The concepts may, however, be sharply defined with regard to their connections. This is actually the fact when the concepts become part of a system of axioms and definitions which can be expressed consistently by a mathematical scheme. Such a group of connected concepts may be applicable to a wide field of experience and will help us to find our way in this field. But the limits of the applicability will in general not be known, at least not completely.
  • The way in which the convergent mathematical schemes did not fulfill the requirements of relativity and quantum theory was... interesting. ...[O]ne scheme ...interpreted in terms of actual events in space and time, led to a...time reversal... The physicists are convinced... that the processes... do not occur in nature... if... separated by measurable distance in space and time. ...If we assume that the laws of nature do contain a third universal constant... of the order of 10-13 cm, then... our usual concepts... apply only to regions in space and time that are large compared to the universal constant. We should... be prepared for phenomena of a qualitatively new character when we... approach regions... smaller than the nuclear radii. The phenomenon of time reversal... might therefore belong to these smallest regions.
  • [E]ven in the most precise part of sience, in mathematics, we cannot avoid using concepts that involve contradictions. ...[I]t is well known that the concept of infinity leads to contradictions... but it would be practically impossible to construct... mathematics without this concept.
  • The existing scientific concepts cover always only a very limited part of reality, and the other part that has not yet been understood is infinite.
  • Whenever we proceed from the known into the unknown we may hope to understand, but we may have to learn at the same time a new meaning of the word "understanding."
Any concepts or words which have been formed in the past through the interplay between the world and ourselves are not really sharply defined with respect to their meaning: that is to say, we do not know exactly how far they will help us in finding our way in the world.
  • The physicist may be satisfied when he has the mathematical scheme and knows how to use for the interpretation of the experiments. But he has to speak about his results also to non-physicists who will not be satisfied unless some explanation is given in plain language. Even for the physicist the description in plain language will be the criterion of the degree of understanding that has been reached.
  • I remember discussions with Bohr which went through many hours till very late at night and ended almost in despair; and when at the end of the discussion I went alone for a walk in the neighbouring park I repeated to myself again and again the question: Can nature possibly be so absurd as it seemed to us in these atomic experiments?
  • [U]ncomprimising belief carries much more weight than some special philosophical notions... [T]he great majority... can scarcely have any well-founded judgement concerning the correctness of certain important general ideas or doctrines. ...[T]he word "belief" can for this majority not mean "perceiving the truth of something" but... only... as "taking this as the basis for life." ...[T]his second kind of belief is much firmer... much more fixed... it can persist even against immediate contradicting experience... not... shaken by added scientific knowledge... sometimes... to the point where it seems completely absurd, and ends... only with the death of the believer. Science and history can teach us that this... may become a great danger... [S]uch belief has always belonged to the great forces in human history.
  • Cautious deliberation based on purely rational arguments can save us from many errors and dangers. ...But ...there will always be a fundamental complementarity between deliberation and decision. ...The decision finally... pushing away all the arguments... The decision may be the result of deliberation, but it is... complementary... it excludes deliberation. Even the most important decisions... contain this inevitable element of irrationality. ...[I]t cannot be avoided that some real or apparent truth form the basis of life; and this fact should be acknowledged with regard to those groups... whose basis is different from our own.
  • [F]rom all that has been said about modern science... modern physics is just one... but... characteristic, part of a general historical process... toward a unification and a widening of our... world. This... would... lead to a diminution of... cultural and political tensions that create the great danger... But... forces in the existing cultural communities... try to ensure for their traditional values the largest... role in the final state of unification... and thereby adds to the instability of the transient state. Modern physics... shows that the use of arms... would be disastrous, and... through it openness for all... concepts it raises the hope that in the final state of unification many different cultural traditions may live together and... combine different human endeavors into a new... balance between thought and deed, between activity and meditation.


Misattributed

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  • Some subjects are so serious that one can only joke about them.
    • Sometimes attributed to Heisenberg, this was actually a statement made by Niels Bohr, as quoted in The Genius of Science: A Portrait Gallery (2000) by Abraham Pais, p. 24
    • Some things are so serious that one can only joke about them.
      • Variant without any citation as to author in Denial is not a river in Egypt (1998) by Sandi Bachom, p. 85
  • Reality is in the observations, not in the electron.
    • A summary of Heisenberg's view by Paul Davies in his introduction to Physics and Philosophy
  • I am the one who knocks.
    • A widely quoted statement by the character Walter White (a.k.a. "Heisenberg"), in the Cornered episode of Breaking Bad (21 August 2011), which people not familiar with the show might conceivably mistake for an attribution to the scientist.
  • The first gulp from the glass of natural sciences will turn you into an atheist, but at the bottom of the glass God is waiting for her.
    • “Der erste Trunk aus dem Becher der Naturwissenschaft macht atheistisch, aber auf dem Grund des Bechers wartet Gott.” in 15 Jahrhunderte Würzburg: e. Stadt u. ihre Geschichte [15 centuries Würzburg. A city and its history] (1979), p. 205, by Heinz Otremba. Otremba does not declare his source, and the quote per se cannot be found in Heisenberg's published works.
    • The journalist Eike Christian Hirsch PhD, a personal acquaintance of Heisenberg, whom he interviewed for his 1981 book Expedition in die Glaubenswelt, claimed in de.wikiquote.org on 22 June 2015, that the content and style of the quote was completely foreign to Heisenberg's convictions and the way he used to express himself, and that Heisenberg's children, Dr. Maria Hirsch and Prof. Dr. Martin Heisenberg, did not recognize their father in this quote.
    • Statements similar to the quote were made by Francis Bacon, in "Of Atheism" (1601): "A little philosophy inclineth man’s mind to atheism; but depth in philosophy bringeth men’s minds about to religion", and Alexander Pope, in "An Essay on Criticism" (1709): "A little learning is a dangerous thing; drink deep, or taste not the Pierian spring: there shallow draughts intoxicate the brain, and drinking largely sobers us again."
    • There is a passage in a lengthy essay written by Heisenberg in 1942, "Ordnung der Wirklichkeit” ("Reality and Its Order"), published in Collected Works. Section C: Philosophical and Popular Writings. Volume I. Physics and Cognition. 1927-1955 (1984), that parallels the ideas expressed in the quote (albeit in a much expanded form):
      • "The first thing we could say was simply: 'I believe in God, the Father, the almighty creator of heaven and earth.' The next step — at least for our contemporary consciousness — was doubt. There is no god; there is only an impersonal law that directs the fate of the world according to cause and effect... And yet [today], we may with full confidence place ourselves into the hands of the higher power who, during our lifetime and in the course of the centuries, determines our faith and therewith our world and our fate." (English translation by M.B.Rumscheidt and N. Lukens, available at https://web.archive.org/web/20170201051620/http://www.heisenbergfamily.org/t-OdW-english.htm)
    • Carl Friedrich von Weizsäcker, a protégé of Heisenberg, did publish a version of the quote itself in Die Geschichte der Natur (The History of Nature) (1948), appearing to consider it an adage:
      • "Aus dem Denken gibt es keinen ehrlichen Rückweg in einen naiven Glauben. Nach einem alten Satz trennt uns der erste Schluck aus dem Becher der Erkenntnis von Gott, aber auf dem Grunde des Bechers wartet Gott auf den, der ihn sucht. Wenn es so ist, dann gibt es einen Weg des Denkens, der vorwärts zu religiösen Wahrheiten führt, und nur diesen Weg zu suchen ist lohnend. Wenn es nicht so ist, wird unsere Welt auf die Religion ihre Hoffnungen vergeblich setzen." ("From thinking there is no honest way back into a naive belief. According to an old phrase, the first sip from the cup of knowledge separates us from God, but at the bottom of the cup God is waiting for the one who seeks him. If so, then there is a way of thinking that leads to religious truths, and to seek only that way is rewarding. If it is not so, our world will put its hopes to religion in vain.")

Quotes about Heisenberg

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Come... dry your eyes, for you are life, rarer than a quark and unpredictable beyond the dreams of Heisenberg. Come, dry your eyes. And let's go home. ~ Alan Moore
Schrödinger and Heisenberg and their followers created a universe based on superimposed inseparable waves of probability amplitudes. This new view would be entirely consistent with the Vedantic concept of All in One.
  • Heisenberg's name will always be associated with his theory of quantum mechanics, published in 1925, when he was only 23 years old. For this theory and the applications of it which resulted especially in the discovery of allotropic forms of hydrogen, Heisenberg was awarded the Nobel Prize for Physics for 1932.
    His new theory was based only on what can be observed, that is to say, on the radiation emitted by the atom. We cannot, he said, always assign to an electron a position in space at a given time, nor follow it in its orbit, so that we cannot assume that the planetary orbits postulated by Niels Bohr actually exist. Mechanical quantities, such as position, velocity, etc. should be represented, not by ordinary numbers, but by abstract mathematical structures called "matrices" and he formulated his new theory in terms of matrix equations.
  • When he arrived he looked like a simple peasant boy, with short, fair hair, clear bright eyes and a charming expression. He took his duties as an assistant more seriously than Pauli and was a great help to me. His incredible quickness and acuteness of apprehension has always enabled him to do a colossal amount of work without much effort; he finished his hydrodynamic thesis, worked on atomic problems partly alone, partly in collaboration with me, and helped me to direct my research students.
    • Max Born, My Life: Recollections of a Nobel Laureate (1978), p. 212
  • In 1929, Heisenberg spent some time in India as the guest of the celebrated Indian poet Rabindranath Tagore, with whom he had long conversations about science and Indian philosophy. This introduction to Indian thought brought Heisenberg great comfort, he told me. He began to see that the recognition of relativity, interconnectedness, and impermanence as fundamental aspects of physical reality, which had been so difficult for himself and his fellow physicists, was the very basis of the Indian spiritual traditions. “After these conversations with Tagore,” he said, “some of the ideas that had seemed so crazy suddenly made much more sense. That was a great help for me.”
  • We gaze continually at the world and it grows dull in our perceptions. Yet seen from the another's vantage point, as if new, it may still take our breath away. Come... dry your eyes, for you are life, rarer than a quark and unpredictable beyond the dreams of Heisenberg. Come, dry your eyes. And let's go home.
  • Heisenberg in cattedra / spiegava il Principio di indeterminazione / a una platea di eletti (a Villa Monastero di Varenna). / In un angolo Fermi e Dirac / si guardarono un attimo sbigottiti / poi si scambiarono brevi formule / scritte sui palmi delle mani
    • Heisenberg in the chair / explained the Uncertainty Principle / to an audience of elected officials (at Villa Monastero in Varenna). / In a corner Fermi and Dirac / they looked at each other in amazement / then they exchanged brief formulas / written on the palms of their hands
    • Leonardo Sinisgalli
  • In 1925, the world view of physics was a model of a great machine composed of separable interacting material particles. During the next few years, Schrodinger and Heisenberg and their followers created a universe based on superimposed inseparable waves of probability amplitudes. This new view would be entirely consistent with the Vedantic concept of All in One.
  • From 1946 onward, as Germany's leading physicist, he had two disappointments. His efforts to bring scientists into government failed, and his scientific work, offering suggestions for a new unified field theory, was not generally accepted.
    • Nevill Francis Mott, (November 1985)"Review of The Political Life of an Unpolitical Man by Elisabeth Heisenberg (trans. of Das politische Leben eines Unpolitischen)". Physics Today 38 (11): 101–102. DOI:10.1063/1.2814773.
  • J. Robert Oppenheimer: You're talking about turning theory into a practical weapons system faster than the Nazis.
    Leslie Groves: Who have a twelve month head start.
    J. Robert Oppenheimer: Eighteen.
    Leslie Groves: How could you possibly know that?
    J. Robert Oppenheimer: Our fast neutron research took six months. The man they've undoubtedly put in charge will have made that leap instantly.
    Leslie Groves: Who do you think they put in charge?
    J. Robert Oppenheimer: Werner Heisenberg. He has the most intuitive understanding of atomic structure I've ever seen.
    Leslie Groves: You know his work?
    J. Robert Oppenheimer: I know him. Just like I know Walter Bothe, von Weizsäcker, Diebner... In a straight race, the Germans win. We've got one hope.
    Leslie Groves: Which is?
    J. Robert Oppenheimer: Antisemitism.
    Leslie Groves: What?
    J. Robert Oppenheimer: Hitler called quantum physics "Jewish science", said it right to Einstein's face. Our one hope is that Hitler is so, so blinded by hate that he's denied Heisenberg proper resources, because it'll take vast resources.
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