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International Journal of Theoretical Physics

Quantum relativity theory and quantum space-time

Miklós Banai

Published Nov 1, 1984• 15 citations
Publisher
DOI
10.1007/bf02213416

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•Jun 1, 2013•0 citations
Three-dimensional quantized space model is newly introduced. Quantum mechanics and relativity theory are explained in terms of the warped three-dimensional quantized spaces with the quantum time width (Dt=tq). The energy is newly defined as the 4-dimensional space-time volume of E = cDtDV in the present work. It is shown that the wave function of the quantum mechanics is closely related to the warped quantized space shape with the space time-volume. The quantum entanglement and quantum wave function collapse are explained additionally. The special relativity theory is separated into the energy transition associated with the space-time shape transition of the matter and the momentum transition associated with the space-time location transition. Then, the quantum mechanics and the general relativity theory are about the 4-dimensional space-time volume and the 4-dimensional space-time distance, respectively.
A body of theory is completely different between relativity theory and quantum mechanics. Most targeting physical phenomena are different between them as well. Despite that both theories describe our time-space world, no one has succeeded in arriving at one of these theories by using the other one, deductively. Fusion of these two theories produced quantum field theory. However this theory impresses us as a theory that was made by merging the two theories by force. So this theory cannot indicate the reason why both relativity theory and quantum mechanics exist in this world at the same time. Here I show you that quantum mechanics can be led by the equation of Minkowski's metrics, which stands up in the relativistic world of space and time. This is the first report proving mathematically that quantum mechanics can be born reductively in our relativistic world.
Defining space and time in a manner that agrees more with an observer who measures distance and time with particles, I create a quantum theory of space and time which is more accurate than the special theory of relativity. This new theory, called distance-time theory, predicts the following quantum principles: Heisenberg's uncertainty principle, the probabilistic location of a particle, and the collapse of this probability once a particle is observed. These principles are derived mostly independent of traditional quantum theory, and they are intrinsic properties of time and space in distance-time theory. However, special relativity theory always gives a particle's exact location and speed. This relativistic result disagrees with the quantum principles previously discussed, but it agrees with classical physics. Special relativity theory is a classical theory, while distance-time theory is a quantum theory. Nevertheless, distance-time theory still predicts proven special relativistic results, and there are novel testable predictions made by distance-time theory. The most notable predictions are those regarding the speed of quantum tunneling and certain characteristics of light. Also, distance-time theory defines distance as equivalent to a time period according to the equation D = cT.