The aim of this paper is an analysis of the different standpoints of Parsons and Schutz concerning Weber’s suggestion that sociological explanations have to include the subjective point of view of the actors, the Cartesian Dilemma that the actor’s consciousness is not accessible to the researcher, and the Kantian Problem that theories are necessary in order to interpret sensory data, but that there is no guarantee that these theories are true. The comparison of Schutz’s and Parsons’s positions shows that Parsons’s methodology is na?ve and unsuitable for a sociological analysis. But although Schutz’s methodological standpoint is much more reasonable, it is also problematic, because it excludes highly abstract social “facts” such as social systems from the research agenda. Parsons can deal with such highly abstract facts, despite the drawback that with his methodology the truth content of theories cannot be judged.
The emphasis of Positive Psychotherapy on culture is a specific contribution to psychodynamic psycho- therapy and to contemporary psychological reasoning and intervention in general. In this article, it is argued that a consistent psycho-cultural perspective as introduced by the founder of Positive Psychotherapy, the Persian-German psychiatrist and psychotherapist Nossrat Peseschkian (1933-2010), is beneficial for humanity’s psychological needs in the time of globalization. Also elementary concepts and the style of intervention in Positive Psychotherapy are described.
Viewing gravitational energy momentum as equal by observation, but different in essence from inertial energy-momentum requires two different symmetries to account for their independent conservations—spacetime and inner translation invariance. Gauging the latter a generalization of non-Abelian gauge theories of compact Lie groups is developed resulting in the gauge theory of the non-compact group of volume-preserving diffeomorphisms of an inner Minkowski space M4. As usual the gauging requires the introduction of a covariant derivative, a gauge field and a field strength operator. An invariant and minimal gauge field Lagrangian is derived. The classical field dynamics and the conservation laws for the new gauge theory are developed. Finally, the theory’s Hamiltonian in the axial gauge is expressed by two times six unconstrained independent canonical variables obeying the usual Poisson brackets and the positivity of the Hamiltonian is related to a condition on the support of the gauge fields.
Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energymomentum naturally leads to the gauge theory of volume-preserving diffeomorphisms of an inner Minkowski space which can describe gravitation at the classical level. This theory is quantized in the path integral formalism starting with a non-covariant Hamiltonian formulation with unconstrained canonical field variables and a manifestly positive Hamiltonian. The relevant path integral measure and weight are then brought into a Lorentz- and gauge-covariant form allowing to express correlation functions—applying the De Witt-Faddeev-Popov approach—in any meaningful gauge. Next the Feynman rules are developed and the quantum effective action at one loop in a background field approach is renormalized which results in an asymptotically free theory without presence of other fields and in a theory without asymptotic freedom including the Standard Model (SM) fields. Finally the BRST apparatus is developed as preparation for the renormalizability proof to all orders and a sketch of this proof is given.
The different roles and natures of spacetime appearing in a quantum field
theory and in classical physics are analyzed implying that a quantum theory of
gravitation is not necessarily a quantum theory of curved spacetime. Developing
an alternative approach to quantum gravity starts with the postulate that
inertial energy-momentum and gravitational energy-momentum need not be the same
for virtual quantum states. Separating their roles naturally leads to the
quantum gauge field theory of volume-preserving diffeomorphisms of an inner
four-dimensional space. The classical limit of this theory coupled to a
quantized scalar field is derived for an on-shell particle where inertial energy-momentum
and gravitational energy-momentum coincide. In that process the symmetry under
volume-preserving diffeomorphisms disappears and a new symmetry group emerges:
the group of coordinate transformations of four-dimensional spacetime and with
it General Relativity coupled to a classical relativistic point particle.
Inertial and gravitational mass or energy momentum need not be the same
for virtual quantum states. Separating their roles naturally leads to the gauge
theory of volume-preserving diffeomorphisms of an inner four-dimensional space.
The gauge-fixed action and the path integral measure occurring in the
generating functional for the quantum Green functions of the theory are shown
to obey a BRST-type symmetry. The related Zinn-Justin-type equation restricting
the corresponding quantum effective action is established. This equation limits
the infinite parts of the quantum effective action to have the same form as the
gauge-fixed Lagrangian of the theory proving its spacetime renormalizability.
The inner space integrals occurring in the quantum effective action which are
divergent due to the gauge group’s infinite volume are shown to be
regularizable in a way consistent with the symmetries of the theory demonstrating
as a byproduct that viable quantum gauge field theories are not limited to
finite-dimensional compact gauge groups as is commonly assumed.