Exploring Fuzzy Theory For Quantum Physics: A Student's Journey

In summary: But that's what makes the field so exciting!In summary, Fuzzy Theory is a relatively new subset of logic that is closely related to probability theory. Some people believe that it may be a better candidate to replace the statistical and probabilistic foundations of quantum physics, although it is currently a "taboo science." Fuzzy Theory can be applied to quantum physics as a theoretical approach and experimentally applied to quantum computing utilizing fuzzy logic to construct quantum algorithms.
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JPBenowitz
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Recently I have been looking into Fuzzy Theory which is a relatively new subset of logic and is closely related to probability theory. Fuzzy Theory right now is practically a "taboo science" with not many scholars too interested in it. However, I see this as a grand opportunity to jump into a new field with those who find it thought evoking as a possible candidate to replace the statistical and probabilistic foundations of quantum physics as radical as that may seem. I want to apply Fuzzy Theory to quantum physics as a theoretical approach and experimentally apply it to quantum computing utilizing fuzzy logic to construct quantum algorithms.

Currently I am a 2nd year undergraduate student in the physics department at Utah State University. I have a 3.0 thus far and am currently enrolled in Intermediate Modern Physics, Introduction to Logic and Geometry, Calculus II, Philosophy of Science, and Computational Physics. I am not in a research group yet and have practically no experience in a lab although I am trying to get in one. My question is where do I go from here and what can I do to stand out when I already know specifically what I want to do?
 
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Good question? I'm only a freshman undergrad so I can't give you any good advice other then ask your professors.
 
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JPBenowitz said:
Recently I have been looking into Fuzzy Theory which is a relatively new subset of logic and is closely related to probability theory. Fuzzy Theory right now is practically a "taboo science" with not many scholars too interested in it.

Not true. There's been a bunch of work on non-classical logic

http://en.wikipedia.org/wiki/Non-classical_logic
http://en.wikipedia.org/wiki/Fuzzy_logic

However, I see this as a grand opportunity to jump into a new field with those who find it thought evoking as a possible candidate to replace the statistical and probabilistic foundations of quantum physics as radical as that may seem.

Doesn't work. What you end up with fuzzy logic is a bunch of rules for determining truth values. It turns out that those rules just aren't the one's that seem to apply in quantum mechanics.

Now it turns out that people have come up with logical systems that work with quantum mechanics...

http://en.wikipedia.org/wiki/Quantum_logic

My question is where do I go from here and what can I do to stand out when I already know specifically what I want to do?

Wikipedia is your friend. Those articles have links to research papers, and it shouldn't be too hard to get yourself up to speed on what's already been done. One thing that you should expect to have happen a lot is to come up with lots of interesting ideas that have unfortunately been done before.
 

1. What is fuzzy theory?

Fuzzy theory is a mathematical framework that deals with uncertainty and imprecision in data. It allows for the representation and manipulation of vague or ambiguous information, making it useful for analyzing complex systems where traditional logic and mathematics may fall short.

2. How is fuzzy theory applied in quantum physics?

In quantum physics, fuzzy theory is used to describe the behavior of particles at the subatomic level. It allows for the representation of particles as fuzzy objects, rather than as precise points, and helps to better understand the inherent uncertainty and unpredictability of quantum phenomena.

3. What inspired you to explore fuzzy theory in quantum physics?

As a student, I was fascinated by the mysterious and counterintuitive world of quantum physics. I was also intrigued by the potential of fuzzy theory to provide a new perspective on this complex subject. I wanted to see how these two areas could intersect and enhance our understanding of the quantum world.

4. What challenges did you face during your journey with fuzzy theory and quantum physics?

One of the main challenges was grasping the mathematical concepts and principles of fuzzy theory. It required a different way of thinking compared to traditional mathematics. Additionally, applying fuzzy theory to quantum physics was a daunting task, as it required a deep understanding of both fields and how they could be integrated.

5. How do you see the future of fuzzy theory in quantum physics?

I believe that fuzzy theory will continue to play a crucial role in helping us understand and make predictions about quantum phenomena. As the field of quantum physics continues to advance, fuzzy theory will likely become even more relevant in tackling complex problems and exploring the boundaries of our understanding of the universe.

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