Models of Quantum Theory, Quantum Field Theory and Spacetime Dynamics





My work on models began with the attempt to develop a comprehensive computer model of quantum theory (QT) that enables the simulation of the major QT (Gedanken-) experiments. Soon I had to realize that the feasibility of such a QT computer model is impeded, not (as expected) by the strange and mysterious nature of QT, but by the many vague and ambiguous formulations of the theory. The problems encountered (described in [1] , [2] , [14] and [15] ) lead to the conclusion that the apparent deficiencies of QT could (only?) be removed by the provision of a causal model of QT (including quantum field theory (QFT)) and that the feasibility of constructing a causal model may be a criteria for the completeness of a physical theory in general.

The development of a causal model of QT/QFT , started with a proposal for a clear (i.e., formal) definition of a “causal model” (see [16], [17]) and continued with the development of (1) a “functional” model of the QT measurement process (see [5] and [6] ) and (2) a computer model of QFT (see [7] ). The work has been accompanied by a number of publications (see [3], [4], [8], [9], [10], [11], [12], [13],[19] and [20]) and included a number of refinement steps.

As the (so far) latest refinement step, I found that my causal model of QT/QFT needs a foundation in terms of a causal model of spacetime dynamics. As a repeated surprise, I detected that a causal model of spacetime dynamics, too cannot directly be derived from the standard theory of spacetime, i.e., from general relativity. Refinements and interpretations had to be added to come up with a suitable causal model of spacetime dynamics (see [18], [21], [22]). In the model, space consists of a set of space points, where each space point is connected with a (small) number of neighboring space points via "connections". The processes of the spacetime dynamics (e.g. emergence of space and propagation of space changes) result in a distribution and density of the interconnected space points that represents a curved discrete spacetime in accordance with general relativity. The combined model of spacetime dynamics and QT/QFT enables new solutions for yet controversial subjects in QT/QFT and in cosmology. Further work, including computer simulations, are required to further pursue and refine the major areas of possible new solutions:

  1. Refinement of the model of quantum (field) theory in curved discrete spacetime, in particular a refinement of the "quantum loop processes".
  2. Some verification of the possible implications of the proposed model of spacetime dynamics on cosmology, in particular the possible explanation of the "flat galaxy rotational curves" by "gravitational length dilations".
  3. Refinement of the attempt to explain the non-localities in QT/QFT, in particular the collapse of the wave function) by collective behaviour processes of the elementary units of spacetime.

Comments on my above described work are very welcome (

[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
[20] Collective Behavior in a Local Causal Model of Quantum Theory
[21] A Model of Spacetime Dynamics with Embedded Quantum Objects
[22] Emerging Quantum Fields Embedded In The Emergence Of Spacetime