This article analyzes the Copenhagen interpretation of quantum mechanics with regard to its historical role, logical consistency, and ontological assumptions. It argues that the Copenhagen interpretation has been extraordinarily successful as a practical framework connecting the mathematical formalism of quantum mechanics with experimental results, but that its positivist restriction to observable quantities does not provide a complete physical explanation of quantum wave behaviour. The analysis of other interpretations suggests that no interpretation of quantum mechanics, including the Copenhagen interpretation, can avoid some form of hidden entity. The central argument is based on the double-slit experiment: probability or mere possibility cannot by themselves physically cause interference, and therefore some real wave-like entity must exist whose effect is only probabilistically described by the wave function. The wave function is therefore not understood as a physical wave itself, but as an epistemic description of the interaction between a particle and a deeper hidden wave structure. The Copenhagen interpretation need not be simply rejected; rather, it can be understood as a successful simplification of a deeper interpretation. It accurately describes measurable results, but it does not explain the real mechanism that produces them. The article suggests that inspiration for such a deeper view can be found in quantum field theory: particles are perturbations of fields, and quantum entanglement may indicate the existence of a deeper nonlocal field of entanglement.
This article analyzes the Copenhagen interpretation of quantum mechanics with regard to its historical role, logical consistency, and ontological assumptions. It argues that the Copenhagen interpretation has been extraordinarily successful as a practical framework connecting the mathematical formalism of quantum mechanics with experimental results, but that its positivist restriction to observable quantities does not provide a complete physical explanation of quantum wave behaviour. The analysis of other interpretations suggests that no interpretation of quantum mechanics, including the Copenhagen interpretation, can avoid some form of hidden entity. The central argument is based on the double-slit experiment: probability or mere possibility cannot by themselves physically cause interference, and therefore some real wave-like entity must exist whose effect is only probabilistically described by the wave function. The wave function is therefore not understood as a physical wave itself, but as an epistemic description of the interaction between a particle and a deeper hidden wave structure. The Copenhagen interpretation need not be simply rejected; rather, it can be understood as a successful simplification of a deeper interpretation. It accurately describes measurable results, but it does not explain the real mechanism that produces them. The article suggests that inspiration for such a deeper view can be found in quantum field theory: particles are perturbations of fields, and quantum entanglement may indicate the existence of a deeper nonlocal field of entanglement.
The standard Copenhagen interpretation of quantum mechanics relies on a set of historically established, ad hoc postulates to describe particle-wave duality, measurement, and non-locality. In this paper, we propose a single foundational axiom that fully reproduces the standard mathematical formalism of quantum mechanics while eliminating the need for supplementary assumptions. From this singular postulate, we rigorously derive the fundamental origin of the wave function and the mathematical generator of the Schrödinger equation. Furthermore, we demonstrate via isomorfism that all seemingly inexplicable quantum phenomena—including wave-function collapse and quantum entanglement—are mathematically and conceptually reducible to the underlying dynamics of the double-slit experiment. By establishing a direct fundamental correlation between the double-slit interference mechanism and the Monty Hall phenomenon, we prove that these effects are distinct manifestations of the exact same principle. We framed the double-slit experiment as an interference of the space of possibilities affected by information and simetrys. Ultimately, by anchoring the existing quantum mathematical framework to this unique axiom, this work provides a coherent, paradox-free ontological foundation that resolves the interpretational crisis of quantum mechanics without altering its empirical predictive power.
We propose a new interpretation of quantum mechanics to address challenges of the Copenhagen Interpretation and to explain observations from certain double-slit experiments. We explore some characteristics of quantum mechanics and analyze a quantum mechanical model which leads us to the assumptions for our new interpretation. We show how quantized waves, like those in Schrodinger’s wave equation, might exist in nature and explain the fundamentals of quantum-scale processes including: the above-mentioned double-slit experiments, wave function collapse, quantum entanglement and quantum tunneling. We classify our interpretation based on commonly used criteria. Finally, we consider some future theoretical points and list some experimental questions. Our new interpretation has the potential to facilitate new theory and experiments leading to a better understanding of fundamental processes in nature and possibly new applications for quantum theory. Page 18 is updated and there is a new suggestion about entanglement on page 20.
Quantum mechanics is characterized by several distinctive features: (1) wave–particle duality, (2) the uncertainty principle, (3) superposition of states, (4) wave function collapse, (5) the tunneling effect, (6) quantum entanglement, and (7) the dominance of probability. Proposed interpretations include the Copenhagen interpretation, the de Broglie–Bohm pilot-wave theory, and the many-worlds interpretation. Despite sustained debate, no unified consensus has emerged. A central obstacle may lie in the unresolved ambiguity over whether a quantum entity is fundamentally a wave or a particle. Although photons and electrons exhibit wave-like and particle-like properties, the concepts of “wave” and “particle” are inherently mutually exclusive. This paper proposes that the true nature of a quantum is a quantized wave interacting at a single spatial point. Based on this premise, the study investigates the vacuum structure and interactions, together with the relationship between wave function collapse and the conservation of physical quantities. The mechanisms underlying the photoelectric effect and quantum tunneling are reexamined, along with the double-slit and delayed-choice quantum eraser experiments. By treating photons and electrons as quantized waves confined to point interactions, this work demonstrates that puzzling quantum behaviors, long considered obstacles to a coherent understanding of quantum mechanics, admit straightforward explanations.
A brief account of the world view of classical physics is given first. We then recapitulate as to why the Copenhagen interpretation of the quantum mechanics had to renounce most of the attractive features of the clasical world view such as a causal description, locality, scientific realism and introduce a fundamental distinction between system and apparatus. The crucial role is played in this by the Bohr's insistence on the wavefunction providing the most complete description possible for an even individual system. The alternative of introducing extra dynamical variables, called hidden variables, in addition to the wavefunction of the system so as to be able to retain at least some of the desirable features of classical physics, is then explored. The first such successful attempt was that of Bohm in 1952 who showed that a realistic interpretation of the quantum mechanics can be given which maintains a causal description as well as does not treat systems and measuring appeartus differently. We begin with the construction of the Bohm's theory. He introduces particle positions as the hidden variables. The particle positions play a special role in Bohm theory. The particle trajectories are guided by the wavefunction. The Bohm theory is deterministic. The probability enters through a special assumption, ``quantum equilibrium'' hypothesis, for the initial conditions on the ensemble of particle trajectories. The ``wave or particle'' dilemma is resolved by a ``wave and particle'' resolution. The measurements in Bohm theory can be described without mysticism. Bohm's theory is however nonlocal.
This paper re-opens the debate on the failure of quantum mechanics to provide an understandable view of micro-reality. A critique is offered of the commonly accepted ‘Copenhagen Interpretation’ of a theory that is only a mathematical approach to the level of reality characterized by atoms and electrons. This critique is based on the oldest approach to thinking about nature for over 2500 years, known as Natural Philosophy. Quantum mechanics (QM) was developed over the first quarter of the 20th Century, when scientists were enthralled by a new philosophy known as Positivism, whose foundations were based on the assumption that material objects exist only when measured by humans – This central assumption conflates epistemology (knowledge) with ontology (existence). The present critique rejects this human-centered view of reality by assuming material reality has existed long before (and will persist long after) human beings (“Realism”). The defensive view that the micro-world is too different to understand using regular thinking (and only a mathematical approach is possible) is rejected totally. At least 12 earlier QM interpretations are critically analyzed, indicating the broad interest in “what does QM mean?” The standard theory of quantum mechanics is thus constructed on only how the micro-world appears to macro measurements - as such, it cannot offer any view of how the foundations of the world are acting when humans are not observing it - this has generated almost 100 years of confusion and contradiction at the very heart of physics. Significantly, we live in a world that is not being measured by scientists but is interacting with itself and with us. QM has failed to provide explanations: only recipes (meaningless equations), not insights. Physics has returned to the pre-Newtonian world of Ptolemaic phenomenology: only verifiable numbers without real understanding. The focus needs to be on an explicit linkage between the micro-world, when left to itself, and our mental models of this sphere of material reality, via the mechanism of measurement. This limits the role of measurement to confirming our mental models of reality but never confusing these with a direct image of ‘the thing in itself’. This implies a deep divide between reality and appearances. This paper proposes that it is the attempt to preserve continuum mathematics (especially calculus), which drives much of the mystery and confusion behind all attempts to understand quantum mechanics. The introduction of discrete mathematics is proposed to help analyze the discrete interactions between the quintessential quantum objects: the electrons and their novel properties. Additionally, several hidden major assumptions have been present in Classical Mechanics (represented by continuum mathematics) since its inception by Newton that are blocking progress and understanding of quantum mechanics. A related paper demonstrates that it is possible to create a point-particle theory of electrons that explains all their peculiar (and ‘paradoxical’) behavior without introducing the continuum mathematical ideas of fields or waves. * Surrey, B.C. Canada (604) 542-2299 spsi99@telus.net Version 1.195 10-07-2016 Begun 23-06-2008 {pp. 80, 70.4 Kw; 800 KB}
The long-standing conceptual controversies concerning the interpretation of nonrelativistic quantum mechanics are argued, on one hand, to be due to its incompleteness, as affirmed by Einstein. But on the other hand, it appears to be possible to complete it at least partially, as Bohr might have appreciated it, in the framework of its standard mathematical formalism with observables as appropriately defined self-adjoint operators. This completion of quantum mechanics is based on the requirement on laboratory physics to be effectively confined to a bounded space region and on the application of the von Neumann deficiency theorem to properly define a set of self-adjoint extensions of standard observables, e.g. the momenta and the Hamiltonian, in terms of certain isometries on the region boundary. This is formalized mathematically in the setting of a boundary ontology for the so-called Qbox in which the wave function acquires a supplementary dependence on a set of Additional Boundary Variables (ABV). It is argued that a certain geometric subset of the ABV parametrizing Quasi-Periodic Translational Isometries (QPTI) has a particular physical importance by allowing for the definition of an ontic wave function, which has the property of epitomizing the spatial wave function “collapse.” Concomitantly the standard wave function in an unbounded geometry is interpreted as an epistemic wave function, which together with the ontic QPTI wave function gives rise to the notion of two-wave duality, replacing the standard concept of wave-particle duality. More generally, this approach to quantum physics in a bounded geometry provides a novel analytical basis for a better understanding of several conceptual notions of quantum mechanics, including reality, nonlocality, entanglement and Heisenberg’s uncertainty relation. The scope of this analysis may be seen as a foundational update of the multiple versions 1.x of the Copenhagen interpretation of quantum mechanics, which is sufficiently incremental so as to be appropriately characterized as Copenhagen 2.0.