Probability Waves: Exploring the Realities & Implications

In summary, the conversation discusses two main questions about probability waves: whether they should be considered as real physical waves or just used to explain phenomena, and whether the probability wave collapses simultaneously in all frames of reference. The speaker also shares their operational viewpoint on the concept of collapse and how it relates to our understanding of the system. They also bring up the topic of interpretations of quantum mechanics and the philosophical debate surrounding the existence of mathematical and physical concepts.
  • #1
Charlie G
116
0
I have two questions about probability waves.

Are we supposed to consider them as real physical waves, or are they just used to explain certain phenomenon? Should I consider them as real as the the Earth itself?

Does the probability wave collapse simultaneously in all frames of reference? If it doesn't then for an electron measured in California, could still be found in the center of the galaxy to an observer in motion relative to the earth, and what would happen if he did find it even though it had been found in California? Would there suddenly be two electrons? I thought that he couldn't find it because it had already been measured, but according to his frame (which is just as valid as any others) the measurment may not have happened so he could find the electron in the center of the galaxy, right?
 
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  • #2
Charlie G said:
I have two questions about probability waves.

Are we supposed to consider them as real physical waves, or are they just used to explain certain phenomenon? Should I consider them as real as the the Earth itself?
From an operational viewpoint (my source of "should"s) how we use a probability amplitude wave i.e. a wave-function defines their meaning... and as such they represent what we know about how some quantum may behave. So in this sense, No they shouldn't be considered real. Others will disagree.

Does the probability wave collapse simultaneously in all frames of reference?
Again from my operational viewpoint the cause of the "collapse" is our updated knowledge about the system and thus it is not a matter of frames but of our integration of that knowledge. In short the collapse happens on paper and not "out there".

Edit: Take the analogy of the "collapse" of the value of a lotto ticket. Before the drawing it has an expectation value equal to each prize times the probability of winning the prize. After the drawing...or if you suddenly find out the drawing is fixed and know what if any prize the ticket will win then the ticket's value (as well as all other tickets' values) "collapses" into the expectation calculated from the updated information.

This is one of the issues surrounding "interpretations" of QM and you'll find many many posts here debating the topic as well as much in the online and published literature.
 
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  • #3
It depends on what view-point one has regarding what is "real" and "existing" or not.

Physics is a way to describe the world and what is in it. Does the number "2" exist? Do we invent or discover mathematics / physics?
 
  • #4
Thx for the replies. The lottery ticket analogy I thought was pretty cool way to put it :)
 

FAQ: Probability Waves: Exploring the Realities & Implications

What are probability waves?

Probability waves, also known as quantum probability distributions, describe the probability of finding a particle in a certain location at a certain time. They are a fundamental concept in quantum mechanics and represent the probabilistic nature of quantum particles.

How do probability waves differ from classical probability?

Classical probability deals with the likelihood of events occurring in the macroscopic world, while probability waves describe the behavior of quantum particles on a microscopic level. Unlike classical probability, which gives definite outcomes, probability waves represent the range of possible outcomes for a given quantum system.

What is the significance of probability waves?

Probability waves have significant implications in understanding the behavior of quantum particles. They demonstrate that particles do not have definite properties until they are measured, and their behavior is described by a wave function that evolves over time. This challenges our classical understanding of particles as solid, tangible objects.

How do probability waves impact real-world applications?

Probability waves have been essential in the development of technologies such as transistors, lasers, and computer memory. They also play a crucial role in quantum computing, which has the potential to revolutionize industries such as finance, cryptography, and drug discovery.

What are the current theories and debates surrounding probability waves?

There are ongoing debates and theories exploring the true nature of probability waves. Some scientists argue that probability waves are not physical entities but rather mathematical tools for calculating probabilities. Others believe that probability waves represent a deeper reality and are the key to understanding the mysteries of the quantum world.

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