Blog Ekkehard Friebe

von Azzam K. I. AlMosallami
In The General Science Journal – 12.06.2007

Abstract
In this paper we derived the relativistic quantized force, where the force is given as a function of frequency[1]. Relativistic momentum is defined as a function of frequency equivalent to the energy and time of a body, then the quantized force is given as the first derivative of momentum with respect to time. Subsequently, we introduce in section one, a relativistic quantization of Newton’s second law, and the relativistic quantized inertial force in section two. This is followed by the relativistic quantized gravitational force and quantized gravitational time dilation.

1- Newton’s Second Law in Quantum
The Relativistic Quantized Force

Introduction
Newton’s Second Law of motion stated that the force acting on a body equals the product of the rest mass of the body and its acceleration[9]. The acceleration is given as the second derivative for distance with respect to time.

When Einstein introduced his special theory of relativity in 1905, it included the measurement of relativistic mass, indicating that the mass of a body increased with its increasing speed[4,7,15]. Einstein’s relativistic equations depend on classical physical concepts, which depend on determinism, causality and continuity[11,12]., They also depend on the possibility of measuring the velocity and position simultaneously, where the velocity according to Einstein’s derivation, equals the first derivative of distance with respect to time[4,7,11,12,15].

But Heisenberg’s uncertainty principle assures the impossibility of measuring velocity and position simultaneously. Then the requirement that the speed equals the first derivative of distance with respect to time is not correct, since it requires the simultaneous measurement of both velocity and position[1,2,5,12,14].

For that reason, we conclude that we should know the energy of the body or the equivalent frequency for the energy, to measure its velocity and momentum. Since, the uncertainty principle allows measuring the momentum and energy simultaneously, it is possible to express the momentum in terms of the equivalent frequency of the energy of the body[1,2,5,12,14].  

The force that affects a body is given through the first derivative of the momentum with respect to time. Subsequently, we can express the momentum of the body in terms of frequency and time, and then we can get the applied force as the first derivative of the momentum with respect to time. The applied force is then derived in terms of the equivalent frequency of the energy of the body.

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