It is seen that both matter and radiation possess a remarkable duality of character, as they sometimes exhibit the properties of waves, at other times those of particles. Now, it is obvious that a thing cannot be a form of wave motion and composed of particles at the same time - the two concepts are too different.
Interpretation
Matter and radiation can behave both like waves and particles, revealing a fundamental duality.
This quote by Werner Heisenberg highlights the intriguing dual nature of matter and radiation in quantum physics, where entities can exhibit characteristics of both waves and particles. Heisenberg emphasizes the paradoxical nature of these concepts, suggesting that they represent fundamentally different ways of understanding physical phenomena, yet coexist in the quantum realm, challenging our classical intuitions about the universe.
In practice
In a physics lecture discussing quantum mechanics, this quote could be used to illustrate the concept of wave-particle duality.
Although the theory of relativity makes the greatest of demands on the ability for abstract thought, still it fulfills the traditional requirements of science insofar as it permits a division of the world into subject and object (observer and observed) and, hence, a clear formulation of the law of causality.
It was about three o'clock at night when the final result of the calculation [which gave birth to quantum mechanics] lay before me ... At first I was deeply shaken ... I was so excited that I could not think of sleep. So I left the house ... and awaited the sunrise on top of a rock.
It is generally believed that our science is empirical and that we draw our concepts and our mathematical constructs from the empirical data. If this were the whole truth, we should, when entering into a new field, introduce only such quantities as can directly be observed, and formulate natural laws only by means of these quantities.
When I meet God, I am going to ask him two questions: Why relativity ? And why turbulence ? I really believe he will have an answer for the first.
The end of the First World War had thrown Germany's youth into great turmoil. The reins of power had fallen from the hands of a deeply disillusioned older generation, and the younger ones drew together in larger and smaller groups to blaze new paths or, at least, to discover a new star to steer by.
The Same organizing forces that have shaped nature in all her forms are also responsible for the structure of our minds.
It's a pity that nobody has found an exploding black hole. If they had, I would have won a Nobel prize.
Part of what it is to be scientifically-literate, it's not simply, 'Do you know what DNA is? Or what the Big Bang is?' That's an aspect of science literacy. The biggest part of it is do you know how to think about information that's presented in front of you.
It was strange, in a way, because there were no ideas involved in the laser that weren't already known by somebody 25 years before lasers were discovered. The ideas were all there; just, nobody put it together.
C'este donc par l'étude des mathématiques, et seulement par elle, que l'on peut se faire une idée juste et approfondie de ce que c'est qu'une science.
It will free man from the remaining chains, the chains of gravity which still tie him to this planet.
My work shows how important it is that independent researchers should have access to data so that government statistics can be checked and so that the democratic debate within India can be informed by the different interpretations of different scholars.
Subscribe for the occasional hand-picked quote. No noise.