1. While Einstein's explanation of the inertial mass increase contradicts the principle of energy conservation, the Binary Quantum Model explains it by quantum physical considerations:

Two trains are 100 km apart from each other at rest on two tracks that run parallel. The clocks on both trains are synchronized. Each train has only one wagon that is transparent and contains only two seats, leaning against each other with the backrest. An observer is sitting on each of the two seats in both train. Then the trains accelerate the same way in the direction of each other train and after a short time reach the same constant velocity. In each train an observer looks in the direction of the movement of his train, the other in the opposite direction. At the moment the trains pass each other, in each train a steel ball is shot in the direction of the movement of the respective train against the wall of the wagon. In each train, each observer looking in the direction of the movement of his train sees a correspondingly large hole that is caused by the steel ball in the wall of his wagon. The observers looking in the opposite direction will be able to see the steel ball hitting the wall in the other train causing the same size of hole. As these observers will see the other train passing by with a velocity twice as fast as his train moves on the tracks, according to relativistic physics he must see that the time in the other train passes more slowly, which would mean that the impulse of the steel ball in the passing train would be smaller, what is according to relativistic physics compensated by an increase of the inertial mass. As we know, the moving conditions of the steel balls and of the two observers in both trains are the same. Only by looking on the steel ball in the other train the inertial mass of the steel ball in the other train shall be able to increase. No other reason is given for the inertial mass increase of the steel ball in the other train than the process of observing. This violates the principle of energy conservation because only from observation there cannot result any energy increase, which corresponds with the increase of the inertial mass. 

During the acceleration of particles at CERN, an inertial mass increase causes that more and more energy must be expended in addition to the kinetic energy of the particles.  Because of the equvialence of mass and energy, the energy and therefore the "dynamic rest" mass of the particles (mass with respect to the position of the moving particles") must  increase by acceleration, which contradicts the principle of energy conservation: 
("dynamic rest" mass > rest mass). 
The binary quantum model explaines the inertial mass increase without violating the  principle of energy conservation because it describes an energy loss of the moving particles that compensates the inertial mass increase:
("dynamic rest" mass = rest mass). 

Unification of gravity with quantum physics and quantum physical derivation of the gravitational constant G:

The theory of gravity "Newtonian Quantum Gravity" is a very simple theory because it precisely predicts so-called “general relativistic phenomena”, as for example that observed at the binary pulsar PSR B1913+16, by just applying Kepler’s second law on quantized gravitational fields. It is an irony of fate that the unsuspecting relativistic physicists still have to effort with the tensor calculations of an imaginary four-dimensional space-time. Everybody can understand that a mass that moves through space must meet more "gravitational quanta” emitted by a certain mass, if it moves faster than if it moves slower or rests against a certain mass, which must cause additional gravitational effects that must be added to the results of Newton's theory of gravity.  However, today's physicists cannot recognize this because they are caught in Einstein's relativistic thinking and as General Relativity can coincidentally also predict these quantum effects by a mathematically defined four-dimensional curvature of space-time. Advanced “Newtonian Quantum Gravity” (NQG) is also able to derive the Gravitational Constant G and explains, why G must fluctuate. The “String Theory” tries to unify quantum physics with General Relativity, but as the so-called “general relativistic” phenomena are quantum physical effects, it cannot be a realistic theory.