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Foundations of Physics

Quantum Interference, Quantum Theory of Measurement, and (In)completeness of Quantum Mechanics

Mirjana Božić, Z. Marić

Published Mar 1, 1998• 3 citations
Publisher
DOI
10.1023/a:1018712011063

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Quantum coherence lies at the heart of quantum mechanics and underlies interference, entanglement, and quantum information. Within conventional quantum theory, coherence is mathematically represented by the wavefunction or, more generally, by the off-diagonal elements of the density matrix. Although this formalism predicts experimental observations with extraordinary precision, the physical origin of coherence and its apparent disappearance during measurement continue to motivate diverse interpretations, including the Copenhagen interpretation, decoherence theory, many-worlds, relational quantum mechanics, and QBism. In the present work we propose a complementary structural interpretation based on Green-Function Architecture Theory (GFAT). Rather than considering quantum coherence to be a primitive property of the wavefunction, we propose that coherence is fundamentally a property of connected Green-function architectures represented by diagram spaces. The wavefunction is interpreted as an effective Hilbert-space representation of an underlying Green-function architecture. Within this framework, quantum interference arises from architecture coherence associated with a common holonomy, whereas measurement corresponds to an architecture transformation that redistributes coherence without destroying it. Consequently, wavefunction collapse is interpreted as an emergent description of a deeper structural process occurring within the underlying Green-function architecture. The proposed framework leaves the mathematical predictions of quantum mechanics completely unchanged while suggesting a deeper structural origin for quantum coherence, interference, and measurement. The double-slit experiment is discussed as the first physical application of this architecture-based interpretation.
The Einstein Podolsky and Rosen argument labeling quantum mechanics as an ‘incomplete theory’ is revisited, and it is shown that one of its premises is incompatible with the physics of measurement uncertainties. Bell’s criticism toward quantum mechanics is discussed in detail and contrasted with the opinion of well-known practitioners of quantum mechanics such as Born, Dirac, Feynman, Lamb, and Ward. A discussion on hidden variable theories is given, and it is indicated that these theories have features that make them non-quantum mechanical. The argument is made that the so-called ‘quantum measurement problem’ is not a practical problem but a conceptual problem of those who believe in the ‘collapse of the wave function.’ In turn, it is explained that the ‘collapse of the wave function’ is completely unnecessary from a quantum interference and quantum entanglement perspective. The chapter continues to explain the physical bases of quantum entanglements and concludes advocating for a pragmatic approach to quantum mechanics devoid of philosophical prejudices. Instead, a philosophical approach based on the very indeterminism of quantum mechanics is proposed.
DESCRIPTION:This work completes quantum decoherence theory by supplying the mechanism it lacks. Decoherence explains how interference is suppressed through environmental entanglement, but it does not explain why a single classical outcome is observed. The theory removes interference but does not provide a collapse mechanism or a pathway to classical definiteness. Using the Carlo Framework, this paper introduces the contradiction engine, the trajectory update rule, and the Reset Operator > as the missing structural components that mechanise classical outcome selection. The completed model treats decoherence as a contradiction loop between branching quantum structures and classical definiteness. When this loop exceeds tolerance, the Carlo reset mechanism selects a single classical branch. This paper formalises the decoherence contradiction, defines the collapse threshold, and provides a unified mechanism linking quantum branching to classical outcomes. KEYWORDS:quantum decoherence, classical emergence, quantum measurement, environmental entanglement, branch structure, wavefunction collapse, contradiction engine, Carlo Framework, Reset Operator, trajectory update rule, quantum-to-classical transition, interference suppression, pointer states, measurement theory, quantum foundations, decoherence dynamics, collapse mechanisms, contradiction loops, system evolution, classical definiteness, threshold dynamics, structural completion, mechanism-level explanation, quantum branching, environment-induced decoherence, quantum information, foundational physics, theoretical physics, dynamic systems, system reorganisation, emergent classicality, contradiction-driven change, collapse operator, decoherence modelling, conceptual engineering, physics foundations, quantum behaviour, system reset events, structural dynamics, quantum transitions, measurement interaction, outcome selection, classical stability, quantum paradoxes, dynamic resolution, system transformation, entanglement dynamics, open quantum systems, reduced density matrices, effective classicality, branching suppression, decoherence thresholds, collapse triggers, structural dynamics of measurement