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A new wave-particle non-dualistic interpretation for the quantum formalism is presented by proving that the Schr\"odinger wave function is an `{\it instantaneous resonant spatial mode}' in which the quantum particle moves. The probabilities…

General Physics · Physics 2019-02-06 N Gurappa

We review realistic models that reproduce quantum theory in some limit and yield potentially new physics outside that limit. In particular, we consider deterministic hidden-variables theories (such as the pilot-wave model) and their…

Quantum Physics · Physics 2009-01-01 Philip Pearle , Antony Valentini

I impose the Newtonian criteria of inertial frames on the c.o.m. trajectories of massive objects undergoing spontaneous collapse of their wave function. The corresponding modification of the so far used stochastic Schr\"odinger equation…

Quantum Physics · Physics 2020-10-08 Lajos Diósi

The deterministic and time-reversal symmetric dynamics of isolated quantum systems is at odds with irreversible equilibration observed in generic thermodynamic systems. Standard approaches at a reconciliation employ subjective restrictions…

Quantum Physics · Physics 2025-11-07 Aritro Mukherjee

This paper proposes an experiment designed to distinguish between competing interpretations of quantum mechanics: those that involve wave function collapse and those that assume purely unitary evolution. The experiment tests whether an…

Quantum Physics · Physics 2025-05-27 Peter Renkel

A quantum theory for the Markovian dynamics of an open system under the unsharp observation which is continuous in time, is developed within the CCR stochastic approach. A stochastic classical equation for the posterior evolution of quantum…

Mathematical Physics · Physics 2009-11-11 V. P. Belavkin

Models of spontaneous wave function collapse modify the linear Schr\"{o}dinger equation of standard Quantum Mechanics by adding stochastic non-linear terms to it. The aim of such models is to describe the quantum (linear) nature of…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-14 Kinjalk Lochan , Suratna Das , Angelo Bassi

During the past decade, the experimental development of being able to create ever larger and heavier quantum superpositions has brought the discussion of the connection between microscopic quantum mechanics and macroscopic classical physics…

Quantum Physics · Physics 2010-04-29 Jasper van Wezel

Four problematic circumstances are considered, involving models which describe dynamical wavefunction collapse toward energy eigenstates, for which it is shown that wavefunction collapse of macroscopic objects does not work properly. In one…

Quantum Physics · Physics 2009-11-10 Philip Pearle

The dynamical equation of hybrid systems, being the combination of Schr\"odinger and Liouville equations, produces noncausal evolution when the initial state of interacting quantum and classical mechanical systems is as it is demanded in…

Quantum Physics · Physics 2007-05-23 Slobodan Prvanovic

A gravity-induced approach to wavefunction collapse based on semiclassical gravity is enhanced by the hypothesis of a temporally expanding spacetime, which leads to a collapse model that can resolve the conflict between quantum nonlocality…

Quantum Physics · Physics 2022-12-21 Garrelt Quandt-Wiese

Measurements transfer information about a system to the apparatus, and then further on -- to observers and (often inadvertently) to the environment. I show that even imperfect copying essential in such situations restricts possible…

Quantum Physics · Physics 2009-11-13 Wojciech Hubert Zurek

Our representation of the Universe is built with sequences of symbols, numbers, operators, rules and undecidable propositions defining our mathematical truths, represented either by classical, quantum and probabilistic Turing Machines…

Quantum Physics · Physics 2025-03-13 Fabrizio Tamburini , Ignazio Licata

We give a counter example to show that determinism as such is in contradiction to quantum mechanics. More precisely, we consider a simple quantum system and its environment, including the measurement device, and make the assumption that the…

Quantum Physics · Physics 2009-09-21 Ramon Lapiedra

We consider the relation between so called continuous localization models - i.e. non-linear stochastic Schr\"odinger evolutions - and the discrete GRW-model of wave function collapse. The former can be understood as scaling limit of the GRW…

Mathematical Physics · Physics 2015-05-27 Detlef Dürr , Günter Hinrichs , Martin Kolb

The wave function transformation of the quantum particle considered as a continuous medium was described by the evolution operator with the kernel in the form of path integral. It is shown that this approach allows considering not only…

Quantum Physics · Physics 2015-08-13 A. Yu. Samarin

Models of spontaneous wave function collapse describe the quantum-to-classical transition by assuming a progressive breakdown of the superposition principle when the mass of the system increases, providing a well-defined phenomenology in…

Quantum Physics · Physics 2018-09-20 Matteo Carlesso , Luca Ferialdi , Angelo Bassi

The main distinction between classical mechanics and quantum mechanics is the lack in the latter of a full mechanical determinism: different final states can arise from the same physical state, after the measurement. No hidden variable is…

Quantum Physics · Physics 2015-05-13 Francesco Caravaglios

The predictions of quantum mechanics are probabilistic. Quantum probabilities are extracted using a postulate of the theory called the Born rule, the status of which is central to the "measurement problem" of quantum mechanics. Efforts to…

Quantum Physics · Physics 2015-10-13 T. G. Philbin

We show that the Schr\"{o}dinger-Newton equation, which describes the nonlinear time evolution of self-gravitating quantum matter, can be made compatible with the no-signaling requirement by elevating it to a stochastic differential…

Quantum Physics · Physics 2015-02-11 Stefan Nimmrichter , Klaus Hornberger
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