How Is This Quantum Analogy Incorrect?

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SUMMARY

The analogy comparing quantum objects to currency units, specifically suggesting that a dollar can be divided into cents, is fundamentally incorrect. Quantum entities like electrons and photons cannot be subdivided into smaller units, as they exist only in whole numbers, similar to how a penny represents the smallest whole unit in this analogy. The correct comparison emphasizes that quantum objects are indivisible, akin to a penny rather than a dollar. This distinction highlights the unique nature of quantum mechanics, where entities exhibit both wave and particle characteristics simultaneously.

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Logan Johnston
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Homework Statement


"Sometimes the idea of the quantum is compared to the units we use for money. A dollar can be divided into smaller units, where the cent is the smallest possible unit. How is this analogy incorrect?

Homework Equations


E=nhf

The Attempt at a Solution


My thought is that quantum cannot be described without whole numbers, unlike a cent which is a fraction.
 
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I think you have the right idea but the wrong conclusion. One, after all, IS an integer and you seem to be implying that it is not. The point is that if you take a quantum object such as an electron or a photon and say it is equivalent to a dollar, there ARE no 1 cent things inside it. So really, a correct analogy would be more like the quantum object being compared to the penny.
 
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phinds said:
I think you have the right idea but the wrong conclusion. One, after all, IS an integer and you seem to be implying that it is not. The point is that if you take a quantum object such as an electron or a photon and say it is equivalent to a dollar, there ARE no 1 cent things inside it. So really, a correct analogy would be more like the quantum object being compared to the penny.

Excellent! That helped it to all click, thank you. :)
 
In the quantum world we need to think of objects being both waves and particles simultaneously.
 
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