hadronic mathematics, mechanics and chemistry - Institute for Basic ...

Chapter 1
SCIENTIFIC IMBALANCES OF THE
TWENTIETH CENTURY
1.1 THE SCIENTIFIC IMBALANCE CAUSED BY
ANTIMATTER
1.1.1 Needs for a Classical Theory of Antimatter
The first large scientific imbalances of the 20-th century studied in this monograph
is that caused by the treatment of matter at all possible levels, from Newtonian
to quantum mechanics, while antimatter was solely treated at the level of
second quantization [1].
Besides an evident lack of scientific democracy in the treatment of matter and
antimatter, the lack of a consistent classical treatment of antimatter left open a
number of fundamental problems, such as the inability to study whether a faraway
galaxy or quasar is made up of matter or of antimatter, because such a study
requires first a classical representation of the gravitational field of antimatter, as
an evident pre-requisite for the quantum treatment (see Figure 1.1).
It should be indicated that classical studies of antimatter simply cannot be
done by merely reversing the sign of the charge, because of inconsistencies due
to the existence of only one quantization channel. In fact, the quantization of a
classical antiparticle solely characterized by the reversed sign of the charge leads
to a particle (rather than a charge conjugated antiparticle) with the wrong sign
of the charge.
It then follows that the treatment of the gravitational field of suspected antimatter
galaxies or quasars cannot be consistently done via the Riemannian
geometry in which there is a simple change of the sign of the charge, as rather
popularly done in the 20-th century, because such a treatment would be structurally
inconsistent with the quantum formulation.
At any rate, the most interesting astrophysical bodies that can be made up of
antimatter are neutral. In this case general relativity and its underlying Rieman-