English
Related papers

Related papers: Pilot-waves and copilot-particles: A nonstochastic…

200 papers

It is often claimed that the collapse of the wave function and Born's rule to interpret the square of the norm as a probability, have to be introduced as separate axioms in quantum mechanics besides the Schroedinger equation. Here we show…

Quantum Physics · Physics 2012-07-23 Gerard 't Hooft

The lack of superposition of different position states or the emergence of classicality in macroscopic systems have been a puzzle for decades. Classicality exists in every measuring apparatus, and is the key for understanding what can be…

Quantum Physics · Physics 2020-12-08 Pei Wang

In this paper I present a thought experiment that gives different results depending on whether or not the wavefunction collapses. Since the wavefunction does not obey the Schrodinger equation during the collapse, conservation laws are…

Quantum Physics · Physics 2020-10-29 Sivapalan Chelvaniththilan

The use of Bohmian mechanics as a practical tool for modeling non-relativistic quantum phenomena of matter provides clear evidence of its success, not only as a way to interpret the foundations of quantum mechanics, but also as a…

Quantum Physics · Physics 2026-04-28 Juan José Seoane , Abdelilah Benali , Xavier Oriols

We propose an effective non-relativistic framework in which wave-function collapse emerges as a deterministic dynamical instability induced by gravitational self-interaction and regulated by short-distance repulsion. The dynamics is…

Quantum Physics · Physics 2026-04-20 C. A. S. Almeida

The representation of a quantum system as the spatial configuration of its constituents evolving in time as a trajectory under the action of the wave-function, is the main objective of the Bohm theory. However, its standard formulation is…

Quantum Physics · Physics 2015-11-26 Francesco Avanzini , Barbara Fresch , Giorgio J. Moro

Bohmian mechanics and the Ghirardi-Rimini-Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter…

Quantum Physics · Physics 2008-11-26 Valia Allori , Sheldon Goldstein , Roderich Tumulka , Nino Zanghi

The de~Broglie--Bohm (pilot wave) formulation of quantum theory appears to be free from the conceptual problems specific to quantum mechanics (problem of measurement) and to quantum cosmology (problem of time). We discuss the issue of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Yuri Shtanov

In this study, we use the concept of Bohmian trajectories to present a dynamical and deterministic interpretation for the gravity induced wave function reduction. We shall classify all possible regimes for the motion of a particle, based on…

Quantum Physics · Physics 2026-05-26 Faramarz Rahmani , Mehdi Golshani

We calculate the time of arrival probability distribution of a quantum particle using the Bohmian formalism. The pilot-wave is given by the wave function of the one dimensional vacuum squeezed state but written in the Schr\"odinger…

Quantum Physics · Physics 2025-04-08 Angel Garcia-Chung , Humberto G. Laguna

We develop a quantum field theory based on random nonHermitian actions, which upon quantization lead to stochastic nonlinear Schr\"{o}dinger dynamics for the state vector. In this framework, Lorentz and spacetime translation symmetries are…

Quantum Physics · Physics 2025-11-14 Pei Wang

We show how pilot-wave theory points to new physics, beyond quantum mechanics, in three distinct ways. First, generalised cosmological initial conditions, departing from the Born rule, can lead to observable anomalies in the cosmic…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Antony Valentini

Newtonian and Scrodinger dynamics can be formulated in a physically meaningful way within the same Hilbert space framework. This fact was recently used to discover an unexpected relation between classical and quantum motions that goes…

Quantum Physics · Physics 2018-05-22 Alexey A. Kryukov

Of all basic principles of classical physics, realism should arguably be the last to be given up when seeking a better interpretation of quantum mechanics. We examine the de Broglie-Bohm pilot wave theory as a well developed example of a…

Quantum Physics · Physics 2020-12-22 Eliahu Cohen , Marina Cortês , Avshalom C. Elitzur , Lee Smolin

The impossibility of describing measurement in quantum mechanics while using a quantum mechanical model for the measurement machine, remains one of its central problems. Objective collapse theories attempt to resolve this problem by…

Quantum Physics · Physics 2023-05-17 Lotte Mertens , Matthijs Wesseling , Jasper van Wezel

In the context of the measurement problem, we propose to model the interaction between a quantum particle and an "apparatus" through a non-Hermitian Hamiltonian term. We simulate the time evolution of a normalized quantum state split into…

Quantum Physics · Physics 2024-04-26 Jorge Martinez Romeral , Luis E. F. Foa Torres , Stephan Roche

We propose, as an alternative theory of quantum mechanics, a relativistically covariant variational principle (VP) capable of describing both wavefunction collapse and, as an appropriate limiting case, evolution of the wavefunction…

Quantum Physics · Physics 2012-04-19 Alan K. Harrison

Collapse of the wave function appears to violate the quantum superposition principle as well as deterministic evolution. Objective collapse models propose a dynamical explanation for this phenomenon, by making a stochastic non-unitary and…

Quantum Physics · Physics 2023-10-27 Kartik Kakade , Avnish Singh , Tejinder P. Singh

In the pilot-wave theory of quantum mechanics particles have definite positions and velocities and the system evolves deterministically. The velocity of a particle is determined by the wave function of the system (the guidance equation) and…

Quantum Physics · Physics 2021-02-03 Dan N. Vollick

A de Broglie-Bohm like model of Klein-Gordon equation, that leads to the correct Schrodinger equation in the low-speed limit, is presented. Under this theoretical framework, that affords an interpretation of the quantum potential, the main…

Quantum Physics · Physics 2009-11-10 O. Chavoya-Aceves