Should you just "shut up and calculate"?

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Discussion Overview

The discussion revolves around the philosophy of quantum mechanics (QM), particularly the phrase "shut up and calculate," which suggests that one should focus on calculations rather than trying to visualize quantum phenomena. Participants express differing views on the importance of visualization in understanding quantum mechanics and the implications of this approach.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Philosophical exploration

Main Points Raised

  • One participant argues that mathematics used in physics should be visualizable, suggesting that abstract mathematics cannot adequately describe physical phenomena.
  • Another participant points out that the measurement problem in quantum mechanics is not about the visualizability of mathematics but rather the division between classical and quantum realms in interpretations like Copenhagen.
  • A participant mentions Bohmian mechanics as one solution to the measurement problem, noting its limitations to non-relativistic quantum mechanics.
  • There is a contention about whether one can truly "shut up and calculate" while engaged in research, with some suggesting that practical experience in physics contradicts this notion.
  • One participant challenges the idea that visualization is unnecessary, asserting that it is crucial to understanding quantum mechanics and criticizing the oversimplification of the debate.

Areas of Agreement / Disagreement

Participants express multiple competing views on the role of visualization in quantum mechanics, with no consensus reached on whether one should prioritize calculation over conceptual understanding.

Contextual Notes

Some participants reference specific interpretations of quantum mechanics and their implications, while others highlight the importance of experimental validation of theories. The discussion reflects a range of philosophical perspectives without resolving the underlying disagreements.

Should you just "shut up and calculate"?

  • Yes

    Votes: 2 66.7%
  • No

    Votes: 1 33.3%

  • Total voters
    3
tim1608
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Hi Everyone

I would like to get your opinions on something to do with the philosophy of QM.

Quite a few quantum physicists say that when working out something to do with QM, you should just "shut up and calculate" which means that you should not be trying to visualise what is going on. I strongly disagree with this for the following reason:

I can only think of the following two types of mathematics:

1. Completely abstract mathematics which does not describe anything in the physical world and which may or may not be visualisable.
2. Applied mathematics which has been derived, at least at it root, from something visualisable.

Can anyone think of any mathematics which is not in either of the above two categories?

I don't see how the human brain, even a quantum physicists brain, can come up with mathematics which supposedly describes something in the real world but which is not, at least at some semi-abstract (if not fully real) level, visualisable.

If I was in the in the company of two quantum physicists, one of whom says they can visualise their work and the other one just says "shut up and calculate", I would want to put my faith in the visualiser. What does everyone think?
 
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The philosophical problem or "measurement problem" of quantum mechanics is not whether the mathematics is visualizable or not. The problem is that in the Copenhagen interpretation, the universe is divided into classical and quantum parts. Shouldn't quantum mechanics also apply to the classical part? A very good explanation of the problem is Bell's "Against 'measurement'" http://www.tau.ac.il/~quantum/Vaidman/IQM/BellAM.pdf.

There is at least one solution to this problem, called Bohmian mechanics. Another leading approach is many-worlds. A limitation of Bohmian mechanics is that it only works for non-relativistic quantum mechanics, with its applicability to relativistic quantum mechanics still being researched. I think, but am not certain, that the entire standard model of particle physics (without gravity) can be reproduced by non-relativistic models, so the limitation of Bohmian mechanics to non-relativistic physics is not very serious.

Given that at least one solution exists, I am indeed happy to shut up and calculate in the good old Copenhagen way.
 
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atyy said:
I am indeed happy to shut up and calculate in the good old Copenhagen way.

Hi Atyy

Thank you very much for your reply.

When you are "shutting up and calculating", are you just doing so using equations you have been taught by other people or are you working on new aspects of QM?

I think my dispute is basically that I don't believe you can just "shut up and calculate" if you are at the coal face of physics.
 
tim1608 said:
I think my dispute is basically that I don't believe you can just "shut up and calculate" if you are at the coal face of physics.

Based on what do you make this statement? Have you got any experience with research or do you know what it is like?

The ultimate test for a physical theory is that it agrees with experiment. That is the only test. So if you "shut up and calculate" and eventually find some data, and then do the experiment and see that the data agrees, then your theory is good. It doesn't matter how you found your result.
 
tim1608 said:
Quite a few quantum physicists say that when working out something to do with QM, you should just "shut up and calculate" which means that you should not be trying to visualise what is going on

This is completely false.
Infraction-worthy false.
Nothing is to be gained by taking a straw man as a starting point. Nobody thinks you shouldn't be thinking about what is going on. Shoehorning what is happening into one's classical intuition is a mistake, to be sure, but that's a far, far cry from what you said.

This thread is closed. We're not going to get into an argument over a straw man.
 

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