Dynamic Harmony Structural Stress-Test Series. This paper evaluates the Ghirardi–Rimini–Weber (GRW) objective collapse model as a candidate mechanism for the emergence of classical behavior from quantum systems. The analysis examines whether collapse dynamics satisfy the structural conditions required for genuine emergence within the Dynamic Harmony framework. The paper applies the Phase Non-Substitutability Test introduced in Paper 0 and the architectural boundary criterion developed in Paper 0B to determine whether collapse processes produce a transformation in system architecture or whether they remain configurational rearrangements within an existing quantum state space. The analysis clarifies the relationship between stochastic collapse dynamics and the structural requirements for Type-2 emergence. This paper forms part of the Dynamic Harmony Structural Stress-Test Series, a research program that evaluates major theories of emergence across physics, biology, and complex systems through adversarial structural analysis.
Dynamic Harmony Structural Stress-Test Series. This paper evaluates the Ghirardi–Rimini–Weber (GRW) objective collapse model as a candidate mechanism for the emergence of classical behavior from quantum systems. The analysis examines whether collapse dynamics satisfy the structural conditions required for genuine emergence within the Dynamic Harmony framework. The paper applies the Phase Non-Substitutability Test introduced in Paper 0 and the architectural boundary criterion developed in Paper 0B to determine whether collapse processes produce a transformation in system architecture or whether they remain configurational rearrangements within an existing quantum state space. The analysis clarifies the relationship between stochastic collapse dynamics and the structural requirements for Type-2 emergence. This paper forms part of the Dynamic Harmony Structural Stress-Test Series, a research program that evaluates major theories of emergence across physics, biology, and complex systems through adversarial structural analysis.
Dynamic Harmony Structural Stress-Test Series. This paper evaluates Quantum Darwinism as a proposed mechanism for the emergence of classical structure from quantum systems. The analysis examines whether environment-induced redundancy and decoherence satisfy the structural conditions required for genuine emergence within the Dynamic Harmony framework. Using the Phase Non-Substitutability Test introduced in Paper 0 and the architectural boundary criterion developed in Paper 0B, the paper analyzes whether the proliferation of environmental records constitutes a redefinition of system architecture or remains a configurational rearrangement within the existing quantum state space. The results clarify the relationship between decoherence, environmental encoding, and the structural requirements for Type-2 emergence. This paper forms part of the Dynamic Harmony Structural Stress-Test Series, a research program that evaluates major theories of emergence across physics, biology, and complex systems through adversarial structural analysis.
Dynamic Harmony Structural Stress-Test Series. This paper evaluates the problem of unifying microscopic quantum dynamics with macroscopic classical behavior. The analysis examines whether proposed mechanisms linking these scales satisfy the structural conditions required for genuine emergence within the Dynamic Harmony framework. Using the Phase Non-Substitutability Test introduced in Paper 0 and the architectural boundary criterion developed in Paper 0B, the paper analyzes whether the transition from microscopic quantum dynamics to macroscopic classical systems represents a true architectural redefinition or remains a configurational rearrangement within an existing state space. The analysis clarifies the structural conditions under which unified dynamical descriptions can account for the emergence of stable macroscopic organization. This paper forms part of the Dynamic Harmony Structural Stress-Test Series, a research program that evaluates major theories of emergence across physics, biology, and complex systems through adversarial structural analysis.
Abstract We discuss the emergence of classical trajectories in Bohmian mechanics, when a macroscopic object interacts with an external environment. We show that in such a case the conditional wave function of the system follows a dynamics which, under reasonable assumptions, corresponds to that of the Ghirardi–Rimini–Weber (GRW) collapse model. As a consequence, Bohmian trajectories evolve classically. Our analysis also shows how the GRW (istantaneous) collapse process can be derived by an underlying continuous interaction of a quantum system with an external agent, thus throwing a light on how collapses can emerge from a deeper level theory.
Carrying out a research program outlined by John S. Bell in 1987, we arrive at a relativistic version of the Ghirardi–Rimini–Weber (GRW) model of spon-taneous wavefunction collapse. The GRW model was proposed as a solution of the measurement problem of quantum mechanics and involves a stochastic and nonlinear modification of the Schrödinger equation. It deviates very little from the Schrödinger equation for microscopic systems but efficiently suppresses, for macroscopic systems, superpositions of macroscopically different states. As sug-gested by Bell, we take the primitive ontology, or local beables, of our model to be a discrete set of space-time points, at which the collapses are centered. This set is random with distribution determined by the initial wavefunction. Our model is nonlocal and violates Bell’s inequality though it does not make use of a preferred slicing of space-time or any other sort of synchronization of spacelike separated points. Like the GRW model, it reproduces the quantum probabilities in all cases presently testable, though it entails deviations from the quantum formalism that are in principle testable. Our model works in Minkowski space-time as well as in (well-behaved) curved background space-times. PACS numbers: 03.65.Ta; 03.65.Ud; 03.30.+p. Key words: spontaneous wave-function collapse; relativity; quantum theory without observers. 1
Abstract Wigner functions, allowing for a reformulation of quantum mechanics in phase space, are of central importance for the study of the quantum-classical transition. A full understanding of the quantum-classical transition, however, also requires an explanation for the absence of macroscopic superpositions to solve the quantum measurement problem. Stochastic reformulations of quantum mechanics based on spontaneous collapses of the wavefunction are a popular approach to this issue. In this article, we derive the dynamic equations for the four most important spontaneous collapse models—Ghirardi–Rimini–Weber (GRW) theory, continuous spontaneous localization (CSL) model, Diósi-Penrose model, and dissipative GRW model—in the Wigner framework. The resulting master equations are approximated by Fokker–Planck equations. Moreover, we use the phase-space form of GRW theory to test, via molecular dynamics simulations, David Albert’s suggestion that the stochasticity induced by spontaneous collapses is responsible for the emergence of thermodynamic irreversibility. The simulations show that, for initial conditions leading to anti-thermodynamic behavior in the classical case, GRW-type perturbations do not lead to thermodynamic behavior. Consequently, the GRW-based equilibration mechanism proposed by Albert is not observed.
The Ghirardi–Rimini–Weber (GRW) theory is a physical theory that, when combined with a suitable ontology, provides an explanation of quantum mechanics. The so-called collapse of the wave function is problematic in conventional quantum theory but not in the GRW theory, in which it is governed by a stochastic law. A possible ontology is the flash ontology, according to which matter consists of random points in space-time, called flashes. The joint distribution of these points, a point process in space-time, is the topic of this work. The mathematical results concern mainly the existence and uniqueness of this distribution for several variants of the theory. Particular attention is paid to the relativistic version of the GRW theory that was developed in 2004.