By Gerhard Herzberg

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1, there is no doubt that, despite widespread popular support, general relativity has been the most controversial theory of the 20-th century. 1) in which, as a central condition to have “Einstein’s gravitation”, there are no sources for the exterior gravitational ﬁeld in vacuum for a body with null total electromagnetic ﬁeld (null total charge and magnetic moment). 2) Gµν = Rµν − gµν × R/2 = k × tµν , where k is a constant depending on the selected unit whose value is here irrelevant. 13 34 ISODUAL THEORY OF ANTIMATTER In the following, we shall study in this section the inconsistencies of Einstein gravitation, that is, the inconsistencies in the entire reduction of gravity to curvature without source.

3), therefore requiring a ﬁrst-order source tensor in vacuum as in Eq . 2). Thus, Einstein’s gravitation for the case of the electron is inconsistent with nature. Also, the electron has a point charge. Consequently, the electron has no interior problem at all, in which case the gravitational and inertial masses coincide, Iner mGrav. Electron ≡ mElectron . 4) Next, Ref. 1 for the case of a neutral particle by showing that the π ◦ meson needs a ﬁrst-order source tensor in the exterior gravitational problem in vacuum since its structure is composed of one charged particle and one charged antiparticle in high dynamical conditions.

A pictorial view of the impossibility for quantum mechanics to be exactly valid in nature: the growth of a seashell. In fact, quantum mechanics is structurally irreversible, in the sense that all its axioms, geometries and symmetries are fully reversible in time, while the growth of a seashell is structurally irreversible. The need for an irreversible generalization of quantum mechanics is out credible reason, as studied in detail in Chapter 4. meaning as representing the energy of the system (in fact, the energy is nonconserved in this case, while the above Hamiltonian is a constant of motion).