  In this work we develop a re-formulation of quantum field theory through the
more general weighted Lorentz invariant measures that the definition of quantum
fields allows; this approach provides finite answers for the long-live problems
of the traditional formulations of quantum field theories, namely, smooth
distributions for the field commutators that are finite a short distances,
finite vacuum expectation values for the energy (without invoking normal
ordering of operators), and finite fluctuations for the field operators. Our
construction is based on a critical point of view on conventional quantum field
theory statements, instead of invoking string theory inspired frameworks, since
they are not necessary. We shall show that the conventional scheme for
constructing quantum field theories has the necessary ingredients for obtaining
generalized versions that, respecting the Lorentz symmetry, allows us to cure
some of the divergences that plague the different formulations, particularly
the ultra-violet divergences; additionally the present scheme will allows us to
construct an infinite family of noncommutative field theories that are compared
with other formulations. At the end, we discuss the impact of our formulation
on particle physics numerology and on the cosmological constant problem
