1. Special Relativity without time dilation and length contraction 1 Osvaldo Domann www.odomann.com

2. 2 The resulting Lorentz transformations based on space-time variables assuming different time for inertial frames show length contraction Einstein derived the transformation equations of SR making abstraction of the physical cause that makes speed of light equal in all relative moving inertial frames. This abstraction required the assumption of non absolute time and space to solve the following Lorentz equation that links time and space between inertial frames.

3. The proposed approach postulates absolute time and length for relative moving inertial frames. It assumes, that light with any speed that arrives to measuring instruments is absorbed by the atoms of the optical Lenses and electric antennae and then emitted with light speed relative to the frame of the instruments. This explains why always light speed is measured in the frame of the instruments. To derive transformation equations that take account of the behaviour of light in measuring instruments, a second transformation is required from the virtual frame to the real frame of the instruments. These two frames are firmly linkt and in light moves with light speed resulting for the frequencies 3 As the problem is of speed nature we write the Lorenz equation with speed variables.

4. The transformation equations for the proposed approach with speed variables are: From to 4 According to the authors „Emission & Regeneration“ Unified Field Theory electromagnetic waves are emitted with light speed relative to the frame of the emitting source. Mathematical frames are virtual frames compared with real frames where particles interact continuously with the masses of the instruments through Fundamental Particles (FPs). All relevant relativistic equations derived with Einsteins‘ SR can be derived with the proposed approach where space and time are absolute variables. For simplicity, all equations are derived for inertial frames that move with parallel to their. a) b) c) d) e)

5. Relativistic linear momentum Relativistic acceleration 5 The velocity in of a particle placed in the origin of with is given by eq. c) with which is the speed of the Fundamental Particles. The linear momentum we get multiplying with the rest mass The frames and are firmly linkt and From eq. c) with and we get that and with we have

6. Relativistic energy 6 The energy in of a particle placed in the origin of with is given by eq. d) with which is the speed of the Fundamental Particles. Multiplying with we get with Because the frames and are firmly linkt the energies are equal and

7. Relativistic Doppler effect 7 The speed of an electromagnetic wave generated in with is given by eq. c) Withand,we get resulting the equations for the longitudinal relativistic Doppler effect No transversal Doppler effect exists Charge and current densities The charge density and the current density are invariant to the transformations between frames, because all variables in the equations, the charge, the space and the time are invariant.

8. Summary and findings 8 The transformation rules of SR based on space-time variables, as derived by Einstein, making abstraction of the physical cause of constancy of light speed in inertial frames, include time delation and length contraction. The transformation rules of SR based on speed variables, as derived in the proposed approach, taking account of the physical cause of the constancy of light speed in inertial frames, include absolut time and absolute space. The proposed approach assumes that the physical cause of constancy of light speed is, that light that arrives with any speed to measuring instruments is absorbed by the atoms of the optical lenses and electric antennae, and then emitted with light speed relative to the frame of the instruments. That is why always light speed is measured. In real frames, the stability of atomic nuclei increases with speed because of the interactions of their Fundamental Particles (FPs) with the FPs of the masses of the real frame. For more information please have a look at All relevant relativistic equations are derived with the proposed approach. No transversal components, neither for the speeds nor for the Doppler effect are present. www.odomann.com