Advances in Quantum Theory by I. Cotaescu

By I. Cotaescu

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For a point x with C¯ x , H¯ x , the integrand factors are parallel transformed to obtain (ψ1,2 ) x = Here x (dz1 ) x (dz2 ) x ( (eiz1 p ) x ψ1 ( p) x | p x 1 (e−iz2 p ) x ψ2 (− p) x | − p x 2 dp x ). (55) (eiz1 p ) x = Fx,z1 (eiz1 p ) (56) (e−iz2 p ) x = Fx,z2 (e−iz2 p ) Also p x is the same value in C¯ x as p is in C¯ z1 in the z1 integral, Eq. 54, and − p x is the same value in C¯ x as − p is in C¯ z2 in the z2 integral. 2 Inclusion of number system scale factors The above shows that the imposition of "mathematics is local" on quantum theory is more complex than the usual treatment with just one scalar field and one Hilbert space for all space points.

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