arXiv subjects

Hans H. Diel

Publications and source records attributed to Hans H. Diel.

6 recordsLinked to original sources

arXiv2016

Quantum objects as elementary units of causality and locality

The author's attempt to construct a local causal model of quantum theory (QT) that includes quantum field theory (QFT) resulted in the identification of "quantum objects" as the elementary units of causality and locality. Quantum objects are collections of particles (including single particles) whose collective dynamics and measurement results can only be described by the laws of QT and QFT. Local causal models of quantum objects' internal dynamics are not possible if a locality is understood as a space-point locality. Within quantum objects, state transitions may occur which instantly affect the whole quantum object. The identification of quantum objects as the elementary units of causality and locality has two primary implications for a causal model of quantum objects: (1) quantum objects run autonomously with system-state update frequencies based on their local proper times and with either no or minimal dependency on external parameters. (2) The laws of physics that describe global (but relativistic) interrelationships must be translated to a causal model of interactions between quantum objects and interactions between quantum objects and the space.

physics.gen-ph↗

arXiv2016

Are Local Causal Models of Quantum Theory Feasible at All?

This article presents an analysis of the extent to which local causal models or local realistic models of quantum theory (QT), including quantum field theory (QFT), are theoretically possible and practically feasible in light of the present state of these theories. Quantum physicists consider Bells famous inequality and its violation in experiments to be a strong indication that local realistic or local causal models of QT are not possible and that quantum theory as a whole is therefore not a local realistic or local causal theory. Based on a proposed definition of a "formal causal model" for a theory of physics (such as QT), this paper investigates the possibility of having a local causal model for QT. Areas of QT are identified in which the construction of a causal model is impeded because of deficiencies in the state of the respective theory. It is shown that the removal of the deficiencies can be achieved by the provision of a causal model. Whereas the construction of a causal model of QT, including QFT, appears to be feasible after the removal of certain deficiencies, the construction of a local (causal) model does not appear to be possible. As a consequence of the conclusion that local (causal) models of QT/QFT are not possible, if a strong interpretation of locality is assumed, a locality model is proposed in which the non-localities are confined to "quantum objects".

quant-ph↗

arXiv2015

The completeness, computability, and extensibility of quantum theory

The long lasting discussion on the completeness of quantum theory (QT) has not yet come to an end. The discussion is impeded by the lack of a clear understanding of what makes up the contents of a theory of physics in general and of QT specifically. After such an understanding has been developed, a more precise definition of global properties, such as the completeness, computability, and extensibility of a theory, is possible and necessary. This paper addresses these subjects for theories of physics and, in particular, for QT. The basis for the definition of the completeness of a theory is the proposed definition of a "formal causal model of a physical theory". The formal model can be applied to discussions of general attributes, such as completeness, computability, and extensibility.

quant-ph↗

arXiv2015

A Lagrangian-Driven Cellular Automaton Supporting Quantum Field Theory

Models of areas of physics in terms of cellular automata have become increasingly popular. Cellular automata (CAs) support the modeling of systems with discrete state component values and enforce the comprehensive specification of the dynamic evolution of such systems. Because many areas of physics can be described by starting with a specific Lagrangian, the idea to derive a cellular automaton directly from the Lagrangian (or similar construct, such as the Hamiltonian or action) is not new. Previous work, however, indicated that the classical CA may not be a sufficient basis for the modeling of more advanced physics theories, such as quantum field theory. Specifically, the modeling of interactions in quantum field theory requires extensions and modifications of the classical CA. This paper describes a proposal for an extended cellular automaton that is suited for support of quantum field theory.

quant-ph↗

arXiv2015

A functional model of interactions in quantum theory

In this paper, a functional model of interactions in quantum theory (QT) is proposed. A functional model describes the dynamic evolution of a physical system in terms of process steps and intermediate states. That is, it describes how things function. The proposed functional model of QT interactions was developed in the context of the author's work toward a computer model of QT with the goal of supporting the largest possible scope of QT concepts. In QT, the results of interactions are computed using quantum field theory (QFT). Therefore, the proposed functional model of interactions is based on QFT. There are a number of important QT concepts, such as measurement, entanglement, and decoherence, that are related to interactions. The functional model of interactions also addresses these phenomena.

quant-ph↗

arXiv2014

A Model of the Measurement Process in Quantum Theory

The so-called measurement problem of quantum theory (QT) is still lacking a satisfactory, or at least widely agreed upon, solution. A number of theories, known as interpretations of quantum theory, have been proposed and found differing acceptance among physicists. Most of the proposed theories try to explain what happens during a QT measurement using a modification of the declarative equations that define the possible results of a measurement of QT observables or by making assumptions outside the scope of falsifiable physics. This paper proposes a solution to the QT measurement problem in terms of a model of the process for the evolution of two QT systems that interact in a way that represents a measurement. The model assumes that the interactions between the measured QT object and the measurement apparatus are "normal" interactions which adhere to the laws of quantum field theory. This causes certain limitations associated with QT measurements.

quant-ph↗