Emergent quantum mechanics without wave functions

TL;DR

This paper introduces a model of emergent quantum mechanics that reproduces quantum-like trajectories without wave functions, using classical simulations and hydrodynamical probability flux, predicting a testable 'quantum sweeper effect'.

Contribution

It presents a novel classical simulation approach to emergent quantum phenomena, avoiding wave functions and providing a new perspective on quantum trajectories.

Findings

Reproduces Bohmian-like trajectories classically

Predicts the 'quantum sweeper effect' in double slit experiments

Suggests experimental verification via weak measurements

Abstract

We present our model of an Emergent Quantum Mechanics which can be characterized by "realism without pre-determination". This is illustrated by our analytic description and corresponding computer simulations of Bohmian-like "surreal" trajectories, which are obtained classically, i.e. without the use of any quantum mechanical tool such as wave functions. However, these trajectories do not necessarily represent ontological paths of particles but rather mappings of the probability density flux in a hydrodynamical sense. Modelling emergent quantum mechanics in a high-low intesity double slit scenario gives rise to the "quantum sweeper effect" with a characteristic intensity pattern. This phenomenon should be experimentally testable via weak measurement techniques.