Realizations of Causal Manifolds by Quantum Fields

Details Realizations of Causal Manifolds by Quantum Fields Realizations of Causal Manifolds by Quantum Fields

1997-07-08

arxiv.org/abs/hep-th/9707077v1

Int.J.Theor.Phys. 36 (1997) 2783-2826

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, latex, macros included

Scientific paper

10.1007/BF02435710

Quantum mechanical operators and quantum fields are interpreted as realizations of timespace manifolds. Such causal manifolds are parametrized by the classes of the positive unitary operations in all complex operations, i.e. by the homogenous spaces $\D(n)=\GL(\C^n_\R)/\U(n)$ with $n=1$ for mechanics and $n=2$ for relativistic fields. The rank $n$ gives the number of both the discrete and continuous invariants used in the harmonic analysis, i.e. two characteristic masses in the relativistic case. 'Canonical' field theories with the familiar divergencies are inappropriate realizations of the real 4-dimensional causal manifold $\D(2)$. Faithful timespace realizations do not lead to divergencies. In general they are reducible, but nondecomposable - in addition to representations with eigenvectors (states, particle) they incorporate principal vectors without a particle (eigenvector) basis as exemplified by the Coulomb field.

Affiliated with

Also associated with

No associations

Rating

Realizations of Causal Manifolds by Quantum Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Realizations of Causal Manifolds by Quantum Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Realizations of Causal Manifolds by Quantum Fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-86927