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.
Interpretation
Understanding physical laws is essential, but their complexity often makes direct application difficult.
This quote by Paul Dirac emphasizes that while the fundamental laws governing physics and chemistry are well-established, the challenge lies in the application of these laws to complex systems. Dirac advocates for the development of approximate methods in quantum mechanics, which would enable scientists to simplify and understand intricate atomic behaviors without the burden of excessive calculations, thus bridging the gap between theory and practical application.
In practice
This quote can be used in a scientific presentation to highlight the challenges faced in applying complex theories.
The research worker, in his efforts to express the fundamental laws of Nature in mathematical form, should strive mainly for mathematical beauty. He should take simplicity into consideration in a subordinate way to beauty ... It often happens that the requirements of simplicity and beauty are the same, but where they clash, the latter must take precedence.
The methods of theoretical physics should be applicable to all those branches of thought in which the essential features are expressible with numbers.
One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe.
It is quite clear that beauty does depend on one's culture and upbringing for certain kinds of beauty, pictures, literature, poetry and so on...But mathematical beauty is of a rather different kind. I should say perhaps it is of a completely different kind and transcends these personal factors. It is the same in all countries and at all periods of time.
It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress.
There is in my opinion a great similarity between the problems provided by the mysterious behavior of the atom and those provided by the present economic paradoxes confronting the world.
The Big Bang banged, and for some reason we’re here. And that’s astonishing. And that we can understand that, that’s the most astonishing.
It's a pity that nobody has found an exploding black hole. If they had, I would have won a Nobel prize.
If everything in chemistry is explained in a satisfactory manner without the help of phlogiston, it is by that reason alone infinitely probable that the principle does not exist; that it is a hypothetical body, a gratuitous supposition; indeed, it is in the principles of good logic, not to multiply bodies without necessity.
Natural gas emits only half the carbon dioxide of coal when burned, but if methane leaks when oil companies extract it from the ground in a sloppy manner - methane is far more potent a greenhouse gas than carbon dioxide - it can wipe out all the advantages of natural gas over coal.
What really matters for me is ... the more active role of the observer in quantum physics ... According to quantum physics the observer has indeed a new relation to the physical events around him in comparison with the classical observer, who is merely a spectator.
Throughout history, people have studied pure science from a desire to understand the universe rather than practical applications for commercial gain. But their discoveries later turned out to have great practical benefits.
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