Reduction in Heisenberg uncertainty

Click For Summary
SUMMARY

This discussion centers on a theoretical experiment involving the behavior of a photon constrained between two infinitely smooth panes of glass. The concept explores whether the exact location of a photon can be predicted when it is limited to one-dimensional movement. Key issues raised include the undefined "size" of a photon, the implications of using infinitely smooth glass, and the inherent problems with such thought experiments, including violations of unitarity and energy conditions. The conversation highlights the complexities and limitations of manipulating quantum mechanics in hypothetical scenarios.

PREREQUISITES
  • Understanding of quantum mechanics, specifically photon behavior
  • Familiarity with Lorentz contraction in special relativity
  • Knowledge of wave-particle duality and the implications of the double-slit experiment
  • Basic principles of theoretical physics and thought experiments
NEXT STEPS
  • Research the implications of wave-particle duality on photon behavior
  • Study the principles of Lorentz contraction in detail
  • Explore the double-slit experiment and its relevance to quantum mechanics
  • Investigate the concept of unitarity and energy conditions in theoretical physics
USEFUL FOR

This discussion is beneficial for theoretical physicists, quantum mechanics researchers, and students interested in the complexities of photon behavior and the limitations of thought experiments in physics.

denni89627
Messages
71
Reaction score
0
I am writing this on the curiosity of the results of a theoretical experiment. Imagine a photon moving thorugh space. It is moving freely through three dimentions and time. Using the Lorentz contraction we can only know approximately where it will be in 3 dimentions for a given time and speed. Now imagine taking 2 panes of glass that are infinitely smooth, and sandwiching the photon between them. The panes are the exact width of the photon apart, so now the photon can only move in two dimentions and time. Let's take it one step further and bring two more sides in so the photon can now only move in one dimension and time. Imagine it's in a tube the
exact circumference of the photon itself. How would this photon move in one dimension? Could it's exact location for a given time and speed now be predicted?
 
Physics news on Phys.org
denni89627 said:
I am writing this on the curiosity of the results of a theoretical experiment. Imagine a photon moving thorugh space. It is moving freely through three dimentions and time. Using the Lorentz contraction we can only know approximately where it will be in 3 dimentions for a given time and speed. Now imagine taking 2 panes of glass that are infinitely smooth, and sandwiching the photon between them. The panes are the exact width of the photon apart, so now the photon can only move in two dimentions and time. Let's take it one step further and bring two more sides in so the photon can now only move in one dimension and time. Imagine it's in a tube the
exact circumference of the photon itself. How would this photon move in one dimension? Could it's exact location for a given time and speed now be predicted?

There is a boatload of problems here in which you have to suspend other physics to sustain what you want to do:

1. What is the "size" of a photon? It's wavelength? Do you realize what would happen if you make light pass through a slit comparable to its wavelength?

2. Why would "infinitely smooth" glass matter? Just so it is 100% reflective? Not possible unless you want to change the mass of electrons to zero (which would change our universe completely).

Zz.
 
People have tried to make thought experiments like this before, by somehow constraining double slit experiments and thinsg of that nature. Wormholes, infinitely long strings, domain walls, Planck scale physics constraints (ad nauseum)

Something always goes wrong though, much like the old perpetual motion things. Often unitarity is violated somewhere microscopically, or the classical recipes violate some energy condition etc etc.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 1 ·
Replies
1
Views
984
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 55 ·
2
Replies
55
Views
4K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 37 ·
2
Replies
37
Views
5K
  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K