Freefall of a body of 1 kg from position h1 ( 1 m height, 0 m/s drop speed) to h2 (0 m height, 4.43 m/s drop speed)
Question: Which velocities have to be taken for relativistic energy?
Choice of test answers:
A) v(h1) = 0 m/s, v(h2) = 4.43 m/s
B) As according to principle of relativity absolute velocities are not known you can take the reference frame of the earth surface as in A), but you also can take any other reference frame.
C) As according to the principle of energy conservation the energy has to be constant in both positions , you have to take in both cases the rest frame with 0 m/s.
D) All velocities have to be referred to the corresponding energetic relevant reference frame, which is different from earth surface.
E) Question can't be answered because there is no physical definition for relativistic energy.
Answer according to modern physics (generally accepted):..... B)
Answer according to neoclassical physics (VTOE):...................... D) and E)
A) and B) violate the principle of energy conservation. These answers are not valid in classical or neoclassical physics, because the body must have identical energy in position h1 and h2.
The basic statement of Special Relativity is that reference frames can be arbitrarily chosen, so that impuls and energy as well as space and time have no general valid definition. Everybody can define a different energy for the same body. The basis for Special Relativity and thus for modern physics is that the classicle principle of energy conservation is not valid.
C) is another possibility of B) and therefore is conform to modern physics. Each observation of a body is a separate decision about rest frame. So the arbitrary choice of reference frame decides if a body has kinetic energy or not. Another conclusion from relativistic energy formula is that rest energy is independent from gravity. This also contradicts classical and neoclassical physics.
In classical and neoclassical physics it is impossible that the rest energy in both positions is identical. Due to gravity there is a difference in rest energy of the body, which equals the difference of the kinetic energy of the body.
D) is one of the most important laws of classical and neoclassical physics and is based on the principle of relativity. It shows that the formula for relativistic energy does not meet requirements for physical laws and does not make sense, because by this the energy cannot be defined. In VTOE the formula for relativistic energy got a appropriate modification. By this modification you get a scientifically correct relativistic energy of all bodies or particles, which is called neoclassical relavistic energy. This eliminates all inconsistencies of current relativistic energy. This means it takes into account the energy by gravitational force and it defines an energy which is identical for all observers (inertial frames). Thus on basis of this new formula for energy you can describe all movements of bodies, which are affected just by gravitational force like celestial bodies. It will provide same results as the equations of motions of General Relativity but on basis of classical physics. Examples are the "anomalous" precession of the perihelion of Mercury or the Lense Thirring effect.
E) In modern physics there is only the definition that relativistic energy is the sum of rest energy and kinetic energy, but there is no valid definition of rest energy and kinetic energy. Which of the following energies are covered by rest energy: the potential energy (gravitational, electric, magnetic), the elastic energy, chemical energy or thermal energy?
In VTOE the neoclassical relativistic energy has a physical explanation: The rest energy is the potential gravitational energy which can be transferred to (additional) kinetic energy. This can be called potential kinetic energy by gravitational force.