Which seems better?

Hey guys, wanna get some opinions from people who know about comp science, math, and physics. Right now's kind of a pivotal point in my Intel project, and I've been debating with myself which of 2 projects to do. I can't tell any details really, but in general, which seems more interesting/ better: derivation of new formulas to describe quantum mechanics under certain conditions (and this has not been done before for what I'd be doing), or a new algorithm for quantum computation that gets exponential speedup. What do u guys think sound better?

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derivations are more useful in everyday stuff. Plus their easier to prove than the 'algorithym' path. That one sounds more experimental. Experiments always = more work. Go with the derivation is my advice...

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I'm fairly confident I can do either one (wish there was time for both!!). In terms of how far will I go, I know how far I must go for these, and they're both significant and interesting. This is not merely explaining something, this is coming up with something totally new and hopefully useful. I feel that the quantum system equations project would be more appealing to judges cause I can show it graphically and it immediatly relates to real life and I can more easily show the work that went into it. In contrast, with my quantum computing algorithm, it is FAR more complex mathematically, and explaining it is very hard- the only hope of someone understanding it and being able to value the work is if they have been working in the quantum computation area since learning to deal with superpositions and all the math and whatnot in a quantum comp doesn't happen in a day.

The one and only "Monstrous BULLgarian!"

Hmmm

actually i think you should do neither

i'd like you to reaserch the sub-quantum pathways of the neuron in the brain.
then with this biological understandnign of the subneral network which effects the pathways of electrical impulses around the brain you could design some mean as computer systems. no more stupid transistors or simple switches, lets be geting away form binary and onto thousadns of networks from ech transisotr/neuron in a computer.

Hmmmmmm but other than that i suggest you do the second one you mentioned.

(p.s. i have no clue what i am talking about other than i know a neuron is very complex and has been thought to behave in a quantum physical manner)

Alltaken

I'm doing this for my personal enjoyment, to learn some more stuff, and to hopefully place in the Intel contest (prestige, money, any college will accept you, etc.).

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