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 allâ€¦ (More)

We suggest Clifford algebra as a useful simplifying language for present quantum dynamics. Clifford algebras arise from representations of the permutation groups as they arise from representations ofâ€¦ (More)

The correlation of the fractionally represented hypercharge group with the isospin and colour group in the standard model determines as faithfully represented internal group the quotient groupâ€¦ (More)

<lb>I discuss the indefinite metrical structure of the time-space translations as<lb>realized in the indefinite inner products for relativistic quantum fields, familiar<lb>in the example of quantumâ€¦ (More)

In analogy to the class structureGL( IR)/O(1, 3) for general relativity with a local Lorentz group as stabilizer and a basic tetrad field for the parametrization, a corresponding class structure GL(â€¦ (More)

Interactions and particles in the standard model are characterized by the action of internal and external symmetry groups. The four symmetry regimes involved are related to each other in the contextâ€¦ (More)

Spacetime is modelled by binary relations by the classes of the automorphisms GL( I C) of a complex 2-dimensional vector space with respect to the definite unitary subgroup U(2). In extension ofâ€¦ (More)

Spacetime is modelled as a homogeneous manifold given by the classes of unitary U(2) operations in the general complex operations GL( I C). The residual representations of this noncompact symmetricâ€¦ (More)

A structural explanation of the coupling constants in the standard model, i.e the fine structure constant and theWeinberg angle, and of the gauge fixing contributions is given in terms of symmetriesâ€¦ (More)

Stable states (particles), ghosts and unstable states (particles) are discussed with respect to the time representations involved, their unitary groups and the induced Hilbert spaces. Unstableâ€¦ (More)