The Geometric Theory of Fields has been made with the intention that
engineers have basics, which they can understand, and they can work
with. They should not only be forced to take notice of for example
Newton's force equation or the induction laws as given facts, but be
made able to grasp the contexts. The theory is aiming to concretely
settle what fields are at all, and to take the myth from the particles.
A theory usable for engineers may contain only observable quantities,
that the engineers can measure.
The result is a compact and consistent theory of gravitation and
electromagnetism, in which the particles appear as discrete solutions
of the general (geometrical) field equations. The theory unifies
the theory of relativity with electrodynamics. It is supported by
numerical simulations, that already point to significant correspondences
of the values of the integration constants for most stable solutions
with known particle values (spin, charge, magnetic momentum, mass too).
The formalism of the theory is known, and natural scientists and
engineers are able to get command of it. But there are mental
barriers at the access to the theory, that make forget the already
existing concrete results. The greatest barrier may be to grasp
that matter is manifested exclusively in integration constants.
There, where one expects special particles of matter, are only
geometrical limits. Behind these limits is nothing, not even time
and space. In the foreground is the structure of the space-time
already unified in the theory of relativity. With this realization,
the materialism, dominating all natural science at present, is
questioned.