Einstein’s 1919 distinction between “principle theories” and ”constructive theories” has been applied by Jeffrey Bub to classify the Copenhagen interpretation of quantum mechanics (QM) as a principle theory agree with this classification. Additionally, I argue that Bohm’s interpretation of QM fits Einstein’s concept of a constructive theory. Principle theories include empirically established laws or principles, such as the first and second laws of thermodynamics or the principles of special relativity, including the Born Rule of QM. According to Einstein, principle theories offer ”security in their foundations and logical perfection”. However, ultimate understanding requires constructive theories, which build complex phenomena from simpler models. Constructive theories provide intelligible models of physical phenomena. Bohm’s QM, with its added microstructure, presents such a model. In this framework, quantum phenomena appear from statistical ensembles of microparticles in motion, with deterministic particle trajectories guided by the wave function. This reveals how Bohm’s account offers a constructive model for understanding quantum phenomena.
Einstein’s 1919 distinction between “principle theories” and ”constructive theories” has been applied by Jeffrey Bub to classify the Copenhagen interpretation of quantum mechanics (QM) as a principle theory agree with this classification. Additionally, I argue that Bohm’s interpretation of QM fits Einstein’s concept of a constructive theory. Principle theories include empirically established laws or principles, such as the first and second laws of thermodynamics or the principles of special relativity, including the Born Rule of QM. According to Einstein, principle theories offer ”security in their foundations and logical perfection”. However, ultimate understanding requires constructive theories, which build complex phenomena from simpler models. Constructive theories provide intelligible models of physical phenomena. Bohm’s QM, with its added microstructure, presents such a model. In this framework, quantum phenomena appear from statistical ensembles of microparticles in motion, with deterministic particle trajectories guided by the wave function. This reveals how Bohm’s account offers a constructive model for understanding quantum phenomena.
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.
The principle aim of this dissertation is to investigate the philosophical application of quantum information theory to interpretational issues regarding the theory of quantum mechanics. Recently, quantum information theory has emerged as a potential source for such an interpretation. The main question with which this dissertation will be concerned is whether or not an information-theoretic interpretation can serve as a conceptually acceptable interpretation of quantum mechanics. It will be argued that some of the more obvious approaches - that quantum information theory shows us that ultimately the world is made of information, and quantum Bayesianism - fail as philosophical interpretations of quantum mechanics. However, the information-theoretic approach of Clifton, Bub, and Halvorson introduces Einstein's distinction between principle theories and constructive theories, arguing that quantum mechanics is best understood as an information-theoretic principle theory. While I argue that this particular approach fails, it does offer a viable new philosophical role for information theory. Specifically, an investigation of interpretationally successful principle theories such as Newtonian mechanics, special relativity, and general relativity, shows that the particular principles employed are necessary as constitutive elements of a framework which partially defines the basic explanatory concepts of space, time, and motion. Without such constitutive principles as preconditions for empirical meaning, scientific progress is hampered. It is argued that the philosophical issues in quantum mechanics stem from an analogous conceptual crisis. On the basis of this comparison, the best strategy for resolving these problems is to apply a similar sort of conceptual analysis to quantum mechanics so as to provide an appropriate set of constitutive principles clarifying the conceptual issues at stake. It is further argued that quantum information theory is ideally placed as a novel conceptual framework from which to conduct this analysis.
Abstract The paper investigates David Bohm’s philosophy of science as a form of fallibilist realism that underpins his causal interpretation of quantum mechanics Bohm (Bohm 1952a, 1952b, 1984, 1985, 1988, 1989, 1990; Bohm and Hiley 1975, 1984, 1993). Bohm’s central aim is to establish the superiority of his interpretation over the standard Copenhagen framework, particularly in contrast to that of Niels Bohr. Whereas Bohr asserts that knowledge of quantum phenomena is restricted to the statistical outcomes of measurement, Bohm’s approach is distinctly realist in orientation. Responding to the challenges posed by Einstein and other physicists, Bohm relies on extra-empirical criteria such as determinism, objectivity and intelligibility. The paper develops what will be termed the methodology of intuitive intelligibility (II), consisting of four stages: (1) reformulation of the standard quantum equations, (2) physical interpretation of the mathematical symbols, (3) drawing analogies with classical laws, and (4) drawing analogies with common experience. It is argued that Bohm applies the (II) methodology consistently, with the notable exception of the ontological status of the wave function and quantum potential. In attempting to explain causal relations from a 3N-dimensional configuration space (where N is the number of particles) to familiar three-dimensional space through an appeal to ‘information’, Bohm arguably commits a category mistake. A proposed resolution—drawing on Bohm’s own holistic analogies—is supported by the recent multi-field interpretation (Romano Multi-field and Bohm’s theory. Synthese, 198(30), 10587–10609, 2021). The term fallibilist realism aptly characterizes Bohm’s stance in the philosophy of science: he repeatedly emphasizes that the causal interpretation is not intended as a final theory. Nevertheless, holism constitutes a substantive ontological commitment that he is unwilling to abandon.
In completing the story of spin, we have run far ahead of the continued development of the understanding of the matrix, operator and wave mechanical approaches to quantum mechanics. The reconciliation of these approaches was described in Chap. 15, but there remained the issue of the interpretation of the wavefunction and the deeper implications of the theory. The understanding came gradually with Born's interpretation of the wavefunction, Ehrenfest's demonstration of the equivalence of the classical and quantum pictures and Heisenberg's enunciation of the uncertainty principle. These led to what became known as the Copenhagen interpretation of quantum mechanics. At the same time, the formal mathematical foundations of the different approaches to quantum phenomena were set on a secure foundation thanks to the efforts of Hilbert and many others. These developments resulted in what may be referred to as the completion of quantum mechanics, in the sense that it laid the foundations for all the future development of physics at the atomic and subatomic level – some of these achievements are summarised in Chap. 18. Schrödinger's interpretation (1926) Schrödinger regarded wave mechanics as superior to the matrix mechanical approach to quantum physics, not only because it was based upon the well-known eigenfunction techniques of classical physics, but also because it was much more visualisable. His first attempt at interpreting the wavefunction appeared in the final Sect. 7 of the fourth part of his great series of papers (Schrödinger, 1926f) and was entitled On the physical significance of the field scalar.
Through a new interpretation of Special Theory of Relativity and with a model given for physical space, we can find a way to understand the basic principles of Quantum Mechanics consistently from Classical Theory. It is supposed that natural phenomena have a connection with intangible reality which cannot be measured directly. Furthermore, the intangible reality is supposed as vacuum particles -- stationary vacuum electrons as a model. In addition, 4-Dimensional Complex Space is introduced, in which each dimension has an internal complex space.
Quantum mechanics, a cornerstone of modern physics, elucidates the behavior of particles at the most fundamental level. This paper delves into the foundational aspects and diverse interpretations of quantum mechanics, shedding light on its enigmatic principles and implications. Beginning with a comprehensive overview of the mathematical framework underlying quantum mechanics, including wave functions, operators, and probabilistic interpretations, the study explores key foundational principles such as superposition, uncertainty, and entanglement. Moreover, it critically examines various interpretations of quantum mechanics, including the Copenhagen interpretation, many-worlds interpretation, and pilot-wave theory, elucidating their philosophical underpinnings and empirical consequences. Through a synthesis of theoretical analysis and empirical evidence, this paper navigates the intricate landscape of quantum mechanics, offering insights into its profound implications for our understanding of reality.