Abstract
In this paper, I propose a quantization of gravity that leads to photons mediated gravitation. The quantization of general relativity depends now on the modified special relativity [A. Almosallami, e-print viXra:1111.0001v1 (2011); e-print viXra:1401.0043 [High Energy Particle Physics](2014)], which introduces a new interpretation of the Lorentz transformation equations depending on quantum theory (Copenhagen school) [A. AlMosallami, IJSER 5, 128 (2014); Int. J. Mod. Theor. Phys. 3, 44 (2014); e-print viXra:1111.0001v1 [Relativity and Cosmology] (2011); e-printviXra:1401.0043 [High Energy Particle Physics] (2014); IJSER 5, 451 (2014)]. In these new transformations, I propose there is no space-time continuum, as in special relativity; it is only time, and space is invariant. This new interpretation of the Lorentz transformations leads to thetransformation being vacuum energy dependent instead of relative velocity dependent as in Einstein's interpretation of the Lorentz transformation equations of the theory of special relativity. Furthermore, the Lorentz factor is equivalent to the refractive index in optics. In this new interpretationof the Lorentz transformations, I refuse the reciprocity principle adopted by Einstein in the theory of special relativity. Refusing the reciprocity principle in this theory leads to the disappearance of all the paradoxes of the theory of special relativity: The Twin paradox, Ehrenfest paradox,the Ladder paradox, and Bell's spaceship paradox. Furthermore, according to my interpretation, one could explain the experimental results of quantum tunneling and entanglement (spooky action), Casimir effect, and Hartman effect. The new interpretation of the Lorentz transformation equationsleads also to the wave-particle duality as in the quantum theory, and thus agrees with Heisenberg uncertainty principle. The generalization of the transformation leads also to the concept of acceleration or deceleration as vacuum fluctuations as in the quantum field theory. In the proposedquantized force, the force is given as a function of frequency, where in this paper I defined the relativistic momentum as a function of frequency equivalent to the relativistic kinetic energy held by a body and time, and then the quantized force is given as the first derivative of the momentumwith respect to time. Subsequently, I introduce Newton's second law as its relativistic quantized force. Further, I introduce the relativistic quantized inertial force, and then, by my equivalence principle, which agrees completely with the experimental results of quantum field theory, I introducethe relativistic quantized gravitational force, and the quantized time dilation.
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