Quantum frogs and jumping to conclusions

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SUMMARY

The discussion centers on the concepts of quantum mechanics, specifically the definitions of "quantum" and "quantum leap," as well as the implications of the uncertainty principle. Participants clarify that a quantum is the smallest discrete amount of energy, while a quantum leap refers to a significant change in state. The uncertainty principle, articulated by Heisenberg, indicates that properties such as position and momentum cannot be precisely measured simultaneously, leading to the conclusion that observation affects the observed. Various interpretations of quantum mechanics, including hidden variables and the many-worlds hypothesis, are also explored.

PREREQUISITES
  • Understanding of quantum mechanics terminology, including "quantum," "quantum leap," and "uncertainty principle."
  • Familiarity with Schrödinger's cat paradox and its implications in quantum theory.
  • Basic knowledge of wave-particle duality and probability wave functions.
  • Awareness of key experiments in quantum mechanics, such as the Aspect experiment.
NEXT STEPS
  • Study the Heisenberg Uncertainty Principle in detail, focusing on its mathematical formulation.
  • Explore the implications of Schrödinger's cat and its relevance to quantum superposition.
  • Investigate the Many Worlds Interpretation and its philosophical implications in quantum mechanics.
  • Learn about the Aspect experiment and its significance in disproving local hidden variable theories.
USEFUL FOR

Students of physics, quantum mechanics enthusiasts, and anyone interested in the philosophical implications of observation in scientific experiments will benefit from this discussion.

  • #31
Numerous experiments (like the Aspect experiment) have disproven the so-called EPR paradox.
Wait, what? Are you saying that quantum entanglement has been disproven? No more quantum teleportation? Oh man my novel's completely ruined...
 
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  • #32
Originally posted by CJames
Wait, what? Are you saying that quantum entanglement has been disproven? No more quantum teleportation? Oh man my novel's completely ruined...

No the Aspect experiment PROVES quantum entanglement.
 
  • #33
Cool. Can I get a link?
 
  • #35
Originally posted by CJames
Wait, what? Are you saying that quantum entanglement has been disproven? No more quantum teleportation? Oh man my novel's completely ruined...

No... I mean the paradox is disproven - ie. Einstein et al's conclusion that QM cannot be a complete description of the world because it allow quantum entanglement etc. (Though some people still dispute the conclusiveness of the Aspect experiment.)
 
  • #36
Exactly right. John Bell, who was a partisan of Bohm's hidden variable theory, devised his inequalities in the hopes of supporting that theory and atttacking quantum mechanics. See his book Speakable and Unspeakable in QM. But in fact quantum mechanics turned out to explain the effect and the Aspect and subsequent experiments demonstrated that the Bell correlations really happen. As you say, some quantum attackers haven't given up and are nit-picking the experiments.

QM says that what subsists between the entangled particles is a correlation between attributes, not a causal relationship. This knocks message sending on the head. I think the Bell-Aspect story is the greatest demonstration of the quantum nature of the world since the two slit-one electron experiment described in Feynmann's textbook.
 
  • #37
Originally posted by selfAdjoint
There is nothing wrong with the statement that to observe a particle you must interact with it and thus change it. What is wrong is to state that this is what the uncertainty principle is about.

I totally agree. And that's not what I said. It's like a "Three's Company" episode: it's all just a big misunderstanding!

Getting beyond it: SelfAdjoint said:

"This knocks message sending on the head."

Which way? Does this business allow for using quantum weirdness to send information faster than light, or dies this prove it impossible. Or does it have nothing to do with this?

As I recall, single pieces of data can be determined instantaneously (such as that shoe analogy) but it was believed that you couldn't string such data into "information." (No hyper-c phone calls).
 
  • #38
message sending FTL is impossible with the quantum understanding of the Bell-Aspect results. Suppose you have one of a pair of entangled particles. You want to change its state to send a bit to the other station, where the other particle will change its state and be recorded.

But you can't measure the state of your particle, because that will destroy the entanglement and with it your hopes of a link. So you would just have to trust that your particle is still in its entangled state. But somebody, or even some random event, could have "measured" the particle at the other end. That would have destroyed the entanglement too. So you're up the creek either way. You might have a link or not, but you'll never know for sure.

When all of this is developed in the math of the theory, it is known as Eberhardt's theorem. Quantum entanglement gives enhanced correlation, but it doesn't give cause, and you can't use it to send messages.
 
  • #39
Originally posted by carla
What does quantum mean exactly?

It corresponds to the concept of discreteness, as opposed to continuity. For example, in classical mechanics the energy of a particle bound in a potential is a continuous function of the state variables. Upon closer inspection of microscopic systems however, we see that there this is not the case. Only certain allowed energy levels are occupied. For instance, in order for an atomic electron to be promoted from a lower energy state to the next higher energy state, it cannot do so via a continuous gaining of energy. Rather, it must absorb a quantum of energy.

What is a 'quantum leap'?

A quantum leap is a stroke of genius on par with the one(s) that led to quantum mechanics.

And this urban myth going around about quantum matter changing upon observation (as though it knows it is being observed and therefore plays little tricks on the observer), what is this really about?
Thanks...

This is due to a popular misconception that "observation" is somehow related to "cognizance". When a physicist speaks of "observations" in QM, it means only that the system interacts with the detection apparatus. No mind or consciousness is implied or needed.
 
  • #40
Originally posted by FZ+
A demonstration of the problem is easy to arrange - get 3 polarised filters. They, as you may recall, allow light through in only one alignment. If you put two of the filters aligned at right angles to each other, as predicted, no light goes through. The only light that gets through the first is cut out by the second filter. But if you put another filter in between the two aligned at 45 degrees to each, some light does in fact penetrate! This is completely contrary to classical theory.

No, classical electrodynamics accounts for it just fine. What is completely contrary to the classical theory is when you do a similar experiment using particles and Stern-Gerlach filters.
 

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