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

[JPBenowitz]

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?

 

[oliverhennigh]

Good question? I'm only a freshman undergrad so I can't give you any good advice other then ask your professors.

 

[twofish-quant]

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.