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Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

S -Matrix Interpretation of Quantum Theory

Henry Pierce Stapp

Published Mar 15, 1971• 205 citations
Publisher

Abstract

The usual interpretation of quantum theory is clouded by the following points. (1) Invalid classical concepts are ascribed fundamental status. (2) The process of measurement is not describable within the framework of the theory. (3) The subject-object distinction is blurred. (4) The observed system is required to be isolated in order to be defined, yet interacting in order to be observed. These problems are resolved in a straightforward way by the unequivocal acceptance of a thoroughly pragmatic $S$-matrix viewpoint. This interpretation is described, and it is explained how and why the full physical content of quantum theory resides in the $S$ matrix.

DOI
10.1103/physrevd.3.1303

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•Jun 19, 2026•0 citations
The usual interpretation of quantum theory is clouded by the following points. (1) Invalid classical concepts are ascribed fundamental status. (2) The process of measurement is not describable within the framework of the theory. (3) The subject-object distinction is blurred. (4) The observed system is required to be isolated in order to be defined, yet interacting in order to be observed. These problems are resolved in a straightforward way by the unequivocal acceptance of a thoroughly pragmatic SSS-matrix viewpoint. This interpretation is described, and it is explained how and why the full physical content of quantum theory resides in the SSS matrix.
Although it is 70 years old, there are still areas of quantum theory which are open to interpretation. This book deals with such interpretational problems, and in particular with the issue of the measurement process. The main theme is whether quantum mechanics can be viewed as a (semantically) complete theory, namely as a theory capable of describing not only the physical object under observation but also the measuring instruments used to detect the properties of that physical object. The problematic aspects arise from the fact that the measuring instruments themselves behave as classical physical systems. Thus, we are faced with the open problem of the transition from the quantum to the classical, or more explicitly, the problem of why the composition of many quantum micro-objects gives rise to classical macro-objects. This book goes carefully, exhaustively, and deeply into the interpretational problems of quantum mechanics induced by the measurement process. The solution of many relevant issues, as well as the problems that remain unsolved, emerge clearly. The discussion itself is self-contained and the technical parts are reader-friendly. This book is of value to graduate students and researchers who have an interest in the physical, mathematical, and philosophical foundations of quantum mechanics.
I take a pragmatist perspective on quantum theory. This is not a view of the world described by quantum theory. In this view quantum theory itself does not describe the physical world, nor our observatons, experiences or opinions of it. Instead, the theory offers reliable advice on when to expect an event of one kind or another, and on how strongly to expect each possible outcome of that event. The actual outcome is a perspectival fact: a fact relative to a physical context of assessment. Measurement outcomes and quantum states are both perspectival. By noticing that each must be relativized to an appropriate physical context one can resolve the measurement problem and the problem of nonlocal action. But if the outcome of a quantum measurement is not an absolute fact, then why shoud the statistics of such outcomes give us any objective reason to accept quantum theory? One can describe extensions of the scenario of Wigner's friend in which a statement expressing the outcome of a quantum measurement would be true relative to one such context but not relative to another. However, physical conditions in our world prevent us from realizing such scenarios. Since the outcome of every actual quantum measurement is certified at what is essentially a single context of assessment, the outcome relative to that context is an objective fact in the only sense that matters for science. We should accept quantum theory because the statistics these outcomes display are just those it leads us to expect.
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.
Abstract The classical concept of molecular structure (namely, a set of atoms with a well‐defined geometrical arrangement in space) originated well before the advent of quantum theory, and, contrary to widespread views, these two conceptual schemes (classical molecular structure and quantum theory) are not easy to reconcile. We begin with a preliminary discussion of molecular structure in terms of space and time correlations in the framework of quantum theory. Then we summarize the salient features of some critical views raised‐during recent years (essentially by Woolley) concerning the concept of molecular structure. The essential claim of this viewpoint is that “molecular structure” is not an intrinsic attribute of an isolated molecule, and appears rather as an effect of the environment (other molecules? vacuum electromagnetic field, according to quantum electrodynamics?). Afterwards, we discuss these issues in detail: we show that it is necessary to distinguish between a “quantum” or “potential” structure (which may be deduced in a straightforward way from the quantum treatment of the molecule), and the “classical” molecular structure (according to which the molecule is considered as a set of rotating and vibrating material points, corresponding to the atoms); we briefly discuss some aspects of the Born–Oppenheimer approximation. From our discussion, we deduce that the “classical structure” concept is indeed non‐trivial from a purely quantum‐mechanical point of view; in actual fact, it is related to the problem of the “classical limit” of quantum mechanics, and it appears that, at the present time, none of these classical concepts and behaviours is convincingly derivable from a strict quantum mechanical basis. Finally, we consider these same problems from the point of view of stochastic electrodynamics (SED), which is one of the stochastic models for microphysics proposed so far as a possible alternative or extension of usual quantum theory. In the framework of such a theory, the “classical limit” and, in particular, the “classical molecular structure” no longer poses a problem, but aside from these satisfactory qualitative aspects, several quantitative failures of SED prevent us from accepting it, at least in its present state, as a genuine physical alternative to quantum theory. We therefore conclude that “classical molecular structure”, and classical concepts in general, remain an open problem in the framework of present‐day quantum physics.
THE OBSERVER PROBLEM IN MODERN PHYSICS: Reassessing Consciousness, Measurement, and the Nature of Reality Author: Yeshayahu Ben-Yehudah Affiliation: THE BEN-YEHUDAH INSTITUTE This scientific paper examines the observer problem in modern physics, focusing on the unresolved relationship between quantum measurement, consciousness, and the nature of physical reality. Although quantum mechanics has demonstrated extraordinary predictive accuracy, fundamental questions persist concerning the transition from probabilistic quantum states to definite observable outcomes. The research critically reassesses four major interpretations of quantum mechanics: the Copenhagen Interpretation, Many-Worlds Theory, Bohmian Mechanics, and Objective Collapse models. Each framework provides a distinct explanation of quantum measurement and wave function behavior, yet none has achieved universal scientific acceptance as a definitive resolution of the measurement problem. Central to this investigation is the distinction between physical measurement and conscious observation. The paper examines whether the observer should be understood solely as a measuring instrument, a participant within a mathematical framework, or a more fundamental component in the relationship between consciousness and experienced reality. Through philosophical and theoretical analysis, the research identifies the insufficiently defined nature of the observer as a potential limitation within contemporary scientific frameworks. It argues that a comprehensive understanding of physical reality may require further investigation into consciousness, subjective experience, and the mechanisms through which probabilistic states become experienced outcomes. The paper contributes to ongoing interdisciplinary inquiry within quantum foundations, theoretical physics, philosophy of mind, and consciousness studies. Rather than presenting an experimentally established resolution, it advances the proposition that the relationship between consciousness, measurement, and observation remains an essential subject for scientific and philosophical investigation. The central inquiry remains: Who is the observer behind the eyes?