• Corpus ID: 147703877

The Wallstrom objection as a possibility to augment quantum theory

  title={The Wallstrom objection as a possibility to augment quantum theory},
  author={Ilja Schmelzer},
  journal={arXiv: Quantum Physics},
  • I. Schmelzer
  • Published 7 May 2019
  • Physics
  • arXiv: Quantum Physics
Wallstrom has argued that quantum interpretations which construct the wave function starting from Madelung variables $\psi(q)=\rho(q)\exp(\frac{i}{\hbar}S(q))$, in particular, many variants of Nelsonian stochastics, are not equivalent to quantum theory. Accepting this, we explicitly add the physical restriction $(\forall q\in Q)|\psi(q)|^2>0$ in the configuration space representation to quantum theory. The resulting theories depend on the choice of the configuration space $Q$. The restriction… 

Do psi-ontology theorems prove that the wave function is not epistemic?

As a counterexample to $\psi$-ontology theorems we consider a $\psi$-epistemic interpretation of the wave function in the configuration space representation with a configuration space trajectory



A solution for the Wallstrom problem of Nelsonian stochastics

A serious objection made by Wallstrom against quantum interpretations based flow variables, in particular Nelsonian stochastics, is their empirical inequivalence with quantum theory: They are unable

Comments on an Article of Takabayasi conserning the Formulation of Quantum Mechanics with Classical Pictures

Certain of Takabayasi's criticisms of a causal re·interpretation of the quantum theory are answered in detail. It is indicated .how this interpretation can be extended to the Dirac equation, and the


In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of hidden variables developed in a

Entropic dynamics, time and quantum theory

Quantum mechanics is derived as an application of the method of maximum entropy. No appeal is made to any underlying classical action principle whether deterministic or stochastic. Instead, the basic

Derivation of the Schrodinger equation from Newtonian mechanics

We examine the hypothesis that every particle of mass $m$ is subject to a Brownian motion with diffusion coefficient $\frac{\ensuremath{\hbar}}{2m}$ and no friction. The influence of an external

A Condensed Matter Interpretation of SM Fermions and Gauge Fields

We present the bundle (Aff(3)⊗ℂ⊗Λ)(ℝ3), with a geometric Dirac equation on it, as a three-dimensional geometric interpretation of the SM fermions. Each (ℂ⊗Λ)(ℝ3) describes an electroweak doublet. The

What Is Bohmian Mechanics

Bohmian mechanics is a quantum theory with a clear ontology and the status and the role of of the quantum formalism is clarified.

A generalization of the Fényes — Nelson stochastic model of quantum mechanics

It is shown that the stochastic model of Fényes and Nelson can be generalized in such a way that the diffusion constant of the Markov theory becomes a free parameter. This extra freedom allows one to

Quantization of Dynamical Systems and Stochastic Control Theory

In the general framework of stochastic control theory we introduce a suitable form of stochastic action associated to the controlled process. A variational principle gives all the main features of

Probability theory: the logic of science

Foreword Preface Part I. Principles and Elementary Applications: 1. Plausible reasoning 2. The quantitative rules 3. Elementary sampling theory 4. Elementary hypothesis testing 5. Queer uses for