dorsal/arxiv
View SchemaDynamical Reduction Models
| Authors | Angelo Bassi, GianCarlo Ghirardi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302164 |
| URL | https://arxiv.org/abs/quant-ph/0302164 |
| DOI | 10.1016/S0370-1573(03)00103-0 |
| Journal | Phys.Rept. 379 (2003) 257 |
Abstract
The report presents an exhaustive review of the recent attempt to overcome the difficulties that standard quantum mechanics meets in accounting for the measurement (or macro-objectification) problem, an attempt based on the consideration of nonlinear and stochastic modifications of the Schroedinger equation. The proposed new dynamics is characterized by the feature of not contradicting any known fact about microsystems and of accounting, on the basis of a unique, universal dynamical principle, for wavepacket reduction and for the classical behavior of macroscopic systems. We recall the motivations for the new approach and we briefly review the other proposals to circumvent the above mentioned difficulties which appeared in the literature. In this way we make clear the conceptual and historical context characterizing the new approach. After having reviewed the mathematical techniques (stochastic differential calculus) which are essential for the rigorous and precise formulation of the new dynamics, we discuss in great detail its implications and we stress its relevant conceptual achievements. The new proposal requires also to work out an appropriate interpretation; a procedure which leads us to a reconsideration of many important issues about the conceptual status of theories based on a genuinely Hilbert space description of natural processes. We also discuss the possibility and the problems one meets in trying to develop an analogous formalism for the relativistic case. Finally we discuss the experimental implications of the new dynamics for various physical processes which should allow, in principle, to test it against quantum mechanics.
{
"annotation_id": "03dbcaa3-0534-490d-91eb-ee51b9663d0f",
"date_created": "2026-03-02T18:01:55.666000Z",
"date_modified": "2026-03-02T18:01:55.666000Z",
"file_hash": "86aa0076c07082505c2f093563017e1a9e5a26535698da63e1f59c50a741fcad",
"private": false,
"record": {
"abstract": "The report presents an exhaustive review of the recent attempt to overcome\nthe difficulties that standard quantum mechanics meets in accounting for the\nmeasurement (or macro-objectification) problem, an attempt based on the\nconsideration of nonlinear and stochastic modifications of the Schroedinger\nequation. The proposed new dynamics is characterized by the feature of not\ncontradicting any known fact about microsystems and of accounting, on the basis\nof a unique, universal dynamical principle, for wavepacket reduction and for\nthe classical behavior of macroscopic systems. We recall the motivations for\nthe new approach and we briefly review the other proposals to circumvent the\nabove mentioned difficulties which appeared in the literature. In this way we\nmake clear the conceptual and historical context characterizing the new\napproach. After having reviewed the mathematical techniques (stochastic\ndifferential calculus) which are essential for the rigorous and precise\nformulation of the new dynamics, we discuss in great detail its implications\nand we stress its relevant conceptual achievements. The new proposal requires\nalso to work out an appropriate interpretation; a procedure which leads us to a\nreconsideration of many important issues about the conceptual status of\ntheories based on a genuinely Hilbert space description of natural processes.\nWe also discuss the possibility and the problems one meets in trying to develop\nan analogous formalism for the relativistic case. Finally we discuss the\nexperimental implications of the new dynamics for various physical processes\nwhich should allow, in principle, to test it against quantum mechanics.",
"arxiv_id": "quant-ph/0302164",
"authors": [
"Angelo Bassi",
"GianCarlo Ghirardi"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1016/S0370-1573(03)00103-0",
"journal_ref": "Phys.Rept. 379 (2003) 257",
"title": "Dynamical Reduction Models",
"url": "https://arxiv.org/abs/quant-ph/0302164"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "36266aab-8983-4f33-a61b-f13e416e7ede",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}