  The aim of this work is to firstly demonstrate the efficacy of the recently
proposed Orlicz space formalism for Quantum theory \cite{ML}, and secondly to
show how noncommutative differential structures may naturally be incorporated
into this framework. To start off with we specifically propose regularity
conditions which in the context of local algebras corresponding to Minkowski
space, ensure good behaviour of field operators as observables, and then show
that fields obtained by the Osterwalder-Schrader reconstruction theorem are
regular in this sense. The pair of Orlicz spaces we explicitly use for this
purpose, are respectively built on the exponential function and on an entropic
type function. This formalism has been shown to be well suited to a description
of quantum statistical mechanics, and in the present work we show that it is
also a very useful and elegant tool for Quantum Field Theory. We then introduce
the class of tangentially conditioned algebras, which is a large class of local
algebras corresponding to globally hyperbolic Lorentzian manifolds that locally
``look like'' the local algebras of Minkowski space. On the one hand this
ensures that at a local level, the Orlicz space formalism discussed above is
also relevant for a much more general class of local algebras. On the other
hand, the structure of this class of algebras, allows for the development of a
non-commutative differential geometric structure along the lines of the du
Bois-Violette approach to such a theory. In this way we obtain a complete
depiction: integrable structures based on local algebras provide a static
setting for an analysis of Quantum Field Theory and an effective tool for
describing regular behaviour of field operators, whereas differentiable
structures posit indispensable tools for a description of equations of motion.
