Coherence Tests of Physical Theories

Textbooks show that the low-velocity limit of special relativity is compatible with nonrelativistic mechanics. Analogous relationships hold between general relativity and the Newtonian theory of gravitation, and between quantum mechanics and classical physics. This work shows that this approach can be extended and yield coherence tests of additional theories. It provides a few examples that show the effectiveness of this approach and demonstrate inconsistent points of some mainstream physical ideas. Furthermore, other well-established physical principles can be utilized for this end. Unfortunately, a scientific work that undertakes this assignment can hardly be found in the current mainstream literature. Several cases are discussed in detail. The results show inconsistencies of fundamental standard model theories, such as quantum chromodynamics and the electroweak theory. Inconsistencies are also proved for the Majorana neutrino and the Proca theory of a massive photon.