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arXiv:0709.4571

Einstein's Lost Battles and Neglected Achievements

Petar Grujić

Published Sep 28, 2007• 0 citations
arXivHTMLPDF

Abstract

We analyze some of Einstein's failures to accomplish tasks which he posed to himself, notably deterministic interpretation of Quantum mechanics and formulation of the Unified theory of physical interactions, putting them into broader ontological and epistemological context. We highlight, on the other hand, a number of his contributions that have been unjustly neglected by the physical community, like the semiclassical quantization principle and the concept of antiparticle. Finally, we mention briefly three issues, which are related to Einstein, but are subject to controversy.

DOI
10.48550/arxiv.0709.4571

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We analyze some of Einstein's failures to accomplish tasks which he posed to himself, notably deterministic interpretation of Quantum mechanics and formulation of the Unified theory of physical interactions, putting them into broader ontological and epistemological context. We highlight, on the other hand, a number of his contributions that have been unjustly neglected by the physical community, like the semiclassical quantization principle and the concept of antiparticle. Finally, we mention briefly three issues, which are related to Einstein, but are subject to controversy.
We review here the main contributions of Einstein to the quantum theory. To put them in perspective we first give an account of Physics as it was before him. It is followed by a brief account of the problem of black body radiation which provided the context for Planck to introduce the idea of quantum. Einstein's revolutionary paper of 1905 on light-quantum hypothesis is then described as well as an application of this idea to the photoelectric effect. We next take up a discussion of Einstein's other contributions to old quantum theory. These include (i) his theory of specific heat of solids, which was the first application of quantum theory to matter, (ii) his discovery of wave-particle duality for light and (iii) Einstein's A and B coefficients relating to the probabilities of emission and absorption of light by atomic systems and his discovery of radiation stimulated emission of light which provides the basis for laser action. We then describe Einstein's contribution to quantum statistics viz Bose-Einstein Statistics and his prediction of Bose-Einstein condensation of a boson gas. Einstein played a pivotal role in the discovery of Quantum mechanics and this is briefly mentioned. After 1925 Einstein's contributed mainly to the foundations of Quantum Mechanics. We choose to discuss here (i) his Ensemble (or Statistical) Interpretation of Quantum Mechanics and (ii) the discovery of Einstein-Podolsky-Rosen (EPR) correlations and the EPR theorem on the conflict between Einstein-Locality and the completeness of the formalism of Quantum Mechanics. We end with some comments on later developments.
The foundations and meaning of quantum theory became a central issue to Albert Einstein and Niels Bohr since the onset of their impassioned debate in the 1920s, enriched by the contributions of many other distinguished scientists and philosophers.The questions are not settled down at all, despite the great achievements of the theory, its impressive accordance with experiment and predictive power.The fundamental and technological applications range from cosmology to biology, with the development of invaluable instruments and the design of new materials.Is quantum mechanics a complete or an incomplete theory?Is there an objective reality independent of the observer or is the reality created by the measurements?Are hidden-variable theories justifiable?Is there a quantum theory founded in a local-causal and non-linear approach that formally contains the orthodox linear theory as a special case?Can such a formulation unify classical and quantum physics?Are Heisenberg's uncertainty relations valid in all cases?Here, the subject is addressed as an adaptation of our contribution to the Colloquium "Quantal aspects in Chemistry and Physics.
Since its inception, quantum theory has been the subject of fierce interpretive controversy, which persists to this day. Disputed topics include the basic ontology and dynamics of the theory, the role (if any) of measurement, the meaning of probability, and the issue of non-locality. But there is yet another problem that has been largely ignored: how the theory makes contact with observational data. The problem is endemic to physics, and was discussed by Einstein in several places. In this essay, I discuss Einstein's general approach, how it applied to some quantum-mechanical phenomena, and why a central aspect of the solution might lead to novel and important new predictions.
A number of books have appeared purporting to explain quantum mechanics to the general public. These books have put considerable emphasis on so-called quantum 'paradoxes', using them to portray the quantum theory as mysterious or 'spooky'. The author discusses these 'paradoxes' from a different viewpoint with the aim of demystifying the theory. Emphasis is shifted from an epistemological viewpoint (as exemplified by the 'probability interpretation') to an ontological one (the description of matter by physical fields). Difficulties in reconciling the probability interpretation with relativity are noted, and the importance of phase coherence, which is inadequately treated in the probability interpretation, is emphasised. In the light of such as approach, the 'paradoxes' are resolved.
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In this paper, I argue that symmetry principles in physics (in particular, in quantum mechanics) have a methodological character, rather than an ontological or an epistemological one. First, I provide a framework to address three related issues regarding the notion of symmetry: (i) how the notion can be characterized; (ii) one way of discussing the nature of symmetry principles, and (iii) a tentative account of some types of symmetry in physics. To illustrate how the framework functions, I then consider the case of the early formulation of quantum mechanics, examining the different roles played by symmetry in this context. Finally, I raise difficulties for ontological and purely epistemological interpretations of symmetry principles, and offer a methodological alternative.