Models of Quantum Theory

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My work on models of quantum theory (QT) started with the development of a computer model of QT. The major goal of the computer model was to support and demonstrate the scope of QT, the more encompassing the better. This includes simulations for the major QT (Gedanken-) experiments such as the famous double-slit experiment. In the course of model development, I encountered a number of problems inherent in the translation of quantum theory into a computer program. The problems encountered are described in [1] , [14] and, more generally, in [2] and [15] .

The work towards the original goal ( to develop a comprehensiv computer model of QT) has been continued with focus on quantum field theory (QFT). Quantum field theory obtained priority because support of the major QT Gedanken-experiments requires support of interactions between particles, a subject which is dealt with in QFT. The computer model of QFT is described in [7] .

While I continued the development of the computer model of quantum (field) theory, I made several observations and conclusions:

  1. A satisfactory solution to the measurement problem of QT and a satisfactory “Interpretation of QT” can only be achieved by a functional interpretation of QT (see [5] and [6]).
    (When I studied the implications of Bell's inequality and its violation in EPR experiments I realized that what J. Bell called a "causal model" is equivalent to what I called a functional model.)
  2. The lack of causal models (i.e., functional descriptions) is a problem not only with quantum theory, but with further areas of physics which deal with non-trivial processes. This is further described in [8] .
  3. Quantum physics is in several areas not computable. The non-computability of QT, however, is not a consequence of the indeterminism within QT, nor is it a consequence of the strangeness of QT. The non-computability is caused by improper formulations within the theory. [2] and [14] describe this aspect.
  4. Causal models of QT/QFT are feasible, although impeded because of the QT deficiencies mentioned under 2. and 3. Local causal models of QT/QFT are not possible, if locality is understood as "space-point locality". (see [16], [17], [18]).
  5. As long as no agreed upon "causal model" can be constructed for certain areas of QT, QT should not be considered complete (see [15] ).
  6. A direction of time (i.e. a time arrow) exists and can be derived from the laws of physics aside from appealing to increasing entropy. The denial of a direction of time and causality is based on an incomplete analysis of the laws of physics, namely by considering only the mathematical structure of the laws of physics without the process by which nature applies the laws of physics. More details on this can be found in [9] and [10].
Comments on my above described work are very welcome (diel@netic.de).

[1] Problems and Possible Solutions with the Development of a Computer Model of Quantum Theory
[2] On the Computability of Quantum Theory
[3] A Functional Interpretation of Quantum Theory
[4] A functional model of interactions in quantum theory
[5] A model of the measurement process in quantum theory
[6] A Functional Model of Measurement in Quantum Theory
[7] A Computer Model of Quantum Field Theory
[8] The Formulation of Temporal Relationships with Physics Theories
[9] The Time Travel Paradox and the Process of World State Progression
[10] The Direction of Time and the Dynamical Evolution of the World
[11] Is Global Simultaneousness Compatible with Special Relativity?
[12] A Lagrangian-driven Cellular Automaton supporting Quantum Field Theory
[13] A Cellular Automaton Computer Model supporting Quantum Field Theory
[14] An improved "interference collapse rule" of quantum mechanics
[15] The completeness, computability, and extensibility of quantum theory
[16] Are Local Causal Models of Quantum Theory Feasible at All?
[17] Quantum objects as elementary units of causality and locality
[18] Spacetime Structures in a Causal Model of Quantum Theory
[19] Advances in Quantum Field Theory, Editor Elmer Morrison, Chapter I: Hans H.Diel: The impact of quantum field theory on the feasibility of local causal models of quantum theory, Novinka, New York, NY