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thetaobums
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That is, is it possible to understand one before understanding the other and vice versa?
Nugatory said:2) For anyone who is not planning to be a practicing physicist, SR will be more valuable. It's a lot easier to make the case that SR should be part of every well-rounded person's education than QM.
mr. vodka said:Huh, I would rather say the reverse. Cases where SR is important outside the life of a physicist are pretty limited (I only know of GPS). QM, however, is crucial in for example chemistry or understanding things like transistors etc.
In what direction are you thinking?
Nugatory said:I put SR into the list of things that make us better thinkers, even if we don't use them directly: things such as learning a foreign language, being familiar with the literature and history of your culture, playing a musical instrument, basic economics, theory of evolution, history of philosophy, ... You don't need any of these, but almost no matter what you're going to do in life, you'll do it better and get more out of it with these experiences.
The great value of studying SR, for anyone who is not going to be using physics in their day job for the rest of their life (and that's nearly everybody), is the experience of rigorously and logically analyzing and then moving beyond our intuitions about how the world works... and it's accessible to anyone with even high-school algebra!
I agree that QM has more practical applications; it is essential to understanding why atomic bonds, semiconductors, chemistry all work the way the way they do. However, if we look at what most practitioners in these fields are doing... They don't need to and aren't bothering to really seriously understand QM, they only need to accept the results and apply them.
I also think that there is much to be said for studying QM in the context of philosophy, working through the problems of interpretations and observation and decoherence and Bell's theorem... Even if you're going to be a lawyer, you'll be a better lawyer for having done that study. But you don't have to invest the skull sweat involved in understanding the hydrogen atom, let alone some more complex system, to do that.
mr. vodka said:Huh, I would rather say the reverse. Cases where SR is important outside the life of a physicist are pretty limited (I only know of GPS).
Nugatory said:I also think that there is much to be said for studying QM in the context of philosophy, working through the problems of interpretations and observation and decoherence and Bell's theorem...
twofish-quant said:There is, but you should realize that most physics courses in quantum mechanics are intentionally set up to remove as much philosophy as possible. The physics courses tend to be calculation based, so and there is one place where you have to do "something weird" and you might miss it if you blink.
Nugatory said:This is indeed true, and the effect is that a QM course is even less valuable to any non-specialist - if you aren't going to be doing these calculation later in life, what are you getting out of the time spent learning how to do them?
By contrast, just about anyone who can hack the (not nearly as demanding) math of SR will benefit from making the the effort to learn SR. It improves general thinking skills in the same way that learning another language or studying literature does.
Quantum mechanics is a branch of physics that explains the behavior and interactions of particles on a microscopic scale. It deals with the fundamental principles of energy, matter, and their interactions.
Relativity is a theory developed by Albert Einstein that explains how objects in the universe behave in relation to each other. It includes both the theory of special relativity, which deals with objects moving at constant speeds, and the theory of general relativity, which describes the effects of gravity on objects.
Quantum mechanics and relativity are both complex and fundamental theories in physics. However, quantum mechanics deals with the behavior of particles on a microscopic scale, while relativity deals with the behavior of objects on a macroscopic scale. Understanding the principles of quantum mechanics first can provide a foundation for understanding the more complex concepts of relativity.
Yes, it is possible to learn relativity without first learning quantum mechanics. However, having a basic understanding of quantum mechanics can make it easier to understand the concepts and principles of relativity.
A strong foundation in mathematics, particularly calculus, is usually necessary for understanding quantum mechanics and relativity. It is also helpful to have a basic understanding of classical mechanics and electromagnetism. However, with dedication and persistence, anyone can learn these complex theories.