The solution of the difficulty is that the two mental pictures which experiment lead us to form - the one of the particles, the other of the waves - are both incomplete and have only the validity of analogies which are accurate only in limiting cases.
Interpretation
Heisenberg explains that our understanding of quantum mechanics is limited and that both particle and wave models are mere approximations.
In this quote, Werner Heisenberg emphasizes the limitations inherent in our scientific models of quantum mechanics. He suggests that the dual representations of quantum entities as either particles or waves are not fully accurate; instead, they serve as useful analogies that break down under certain conditions. This statement reflects the complexity of understanding the fundamental nature of reality and the challenges faced by physicists in grappling with the nuances of quantum theory.
In practice
In a science lecture discussing the intricacies of quantum mechanics.
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.
The sheer quantity of brain power that hurled itself voluntarily and quixotically into the search for new baseball knowledge was either exhilarating or depressing, depending on how you felt about baseball. The same intellectual resources might have cured the common cold, or put a man on Pluto.
If the fate of the universe was decided in a single moment at the instant of the Big Bang , that was the most creative moment of all.
For me, arguably the story of telomeres and telomerase began thousands of years ago, in the cornfields of the Maya highlands of Central America.
There are three stages in scientific discovery. First, people deny that it is true, then they deny that it is important; finally they credit the wrong person.
During the Middle Ages there were all kinds of crazy ideas, such as that a piece of rhinoceros horn would increase potency. Then a method was discovered for separating the ideas - which was to try one to see if it worked, and if it didn't work, to eliminate it. This method became organized, of course, into science.
When a coil is operated with currents of very high frequency, beautiful brush effects may be produced, even if the coil be of comparatively small dimensions. The experimenter may vary them in many ways, and, if it were nothing else, they afford a pleasing sight.
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