Double check my proof?

Question

I've just solved a curved spacetime wavefunction with hermitian matrices for an explicitly covariant form of feynman's slash notation. If the energy per oscillator is correct the pseudo-orthogonal 4-d space with metric signature (+ - - -) should fold and form a tube like consistancy in spacetime. Does anyone see any problems with this? I'm sure someone will mention multiplying (- + + +) by a factor of i but this is only necessary if the we use the conjugate transpose of £.

Thanks for you help!

Answer 1

Daaaaaaaaang



you right.

Answer 2

Nope. They look like they should be equal to me. One big mistake... you can't say the third line. You assumed what you're trying to prove (that C = G). You should take an arbitrary element of C and prove that it must be in G. That will prove that C is a subset of G. Then take an arbitrary element of G and prove that it's in C. That will prove that G is a subset of C. Once you have that, you know they're equal. I always hated dealing with sets in discrete. I honestly don't remember how to go about proving this formally, but if t ∈ C, then t = x + 7 for x ∈ N. Natural numbers are all of the integers greater than or equal to 1, so the smallest thing that x could be is 1. If x = 1, t = 1 + 7 = 8. 8 belongs to G since it's a natural number that's larger than 7. G contains all of the natural numbers bigger than 7, so obviously all of those will be found in C. This isn't a formal proof at all, and I don't remember how to write a proof dealing with set theory. I'm just trying to give you an idea of what you should be thinking about. If you can't figure out the formal proof, ask your teacher about it. I hope this helped you some.

Answer 3

help plz

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