How Is This Quantum Analogy Incorrect?

Click For Summary

Homework Help Overview

The discussion revolves around the analogy comparing quantum units to monetary units, specifically questioning the validity of likening a quantum object to a dollar and its subdivisions. The subject area is quantum mechanics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the nature of quantum objects and their indivisibility, contrasting it with the divisibility of currency. There is an examination of whether integers can be compared to quantum units and how analogies may misrepresent quantum properties.

Discussion Status

Some participants have provided insights that clarify the analogy's shortcomings, suggesting a more accurate comparison. The discussion appears to be productive, with participants engaging in conceptual exploration and clarification.

Contextual Notes

There is an underlying assumption that the analogy to currency may misrepresent the fundamental nature of quantum objects, which prompts further questioning and exploration of definitions.

Logan Johnston
Messages
7
Reaction score
0

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.
 
Physics news on Phys.org
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.
 
  • Like
Likes   Reactions: Logan Johnston
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.
 
Last edited:

Similar threads

Undergrad A Bold New Take on Quantum Theory
  • · Replies 25 ·
Replies
25
Views
6K
Graduate How big/small is Planck constant?
  • · Replies 13 ·
Replies
13
Views
4K
How Does the Photoelectric Effect Determine Planck's Constant?
  • · Replies 1 ·
Replies
1
Views
2K
Thermal Physics: Photon Statistics on Bose Particles
  • · Replies 1 ·
Replies
1
Views
2K
Graduate The structure of quantum geometry of spacetime at the Planck scale
  • · Replies 17 ·
Replies
17
Views
7K
Graduate Understanding Classical Physics: The Role of Planck Constant
  • · Replies 2 ·
Replies
2
Views
7K
Graduate How far does an object traveling slower than light travel in the same distance?
  • · Replies 13 ·
Replies
13
Views
7K
How Do You Calculate Wave Properties in a String Experiment?
  • · Replies 1 ·
Replies
1
Views
4K
What are Planck's units and how do they relate to fundamental forces?
  • · Replies 5 ·
Replies
5
Views
4K
What Is the Rydberg Constant Value for Calculating Hydrogen Atom Transitions?
  • · Replies 2 ·
Replies
2
Views
2K