Abstract

In the quest for an understanding of nonlocality with respect to an appropriate ontology, we propose a “cosmological solution”. We assume that from the beginning of the universe each point in space has been the location of a scalar field representing a zero-point vacuum energy that nonlocally vibrates at a vast range of different frequencies across the whole universe. A quantum, then, is a nonequilibrium steady state in the form of a “bouncer” coupled resonantly to one of those (particle type dependent) frequencies, in remote analogy to the bouncing oil drops on an oscillating oil bath as in Couder’s experiments. A major difference to the latter analogy is given by the nonlocal nature of the vacuum oscillations. We show with the examples of double- and n-slit interference that the assumed nonlocality of the distribution functions alone suffices to derive the de Broglie–Bohm guiding equation for N particles with otherwise purely classical means. In our model, no influences from configuration space are required, as everything can be described in 3-space. Importantly, the setting up of an experimental arrangement limits and shapes the forward and osmotic contributions and is described as vacuum landscaping.

Highlights

  • Quantum Mechanics without Wavefunctions “Emergent Quantum Mechanics” stands for the idea that quantum mechanics is based on a more encompassing deeper level theory

  • We have shown how the Schrödinger equation can be derived from a nonequilibrium sub-quantum dynamics [13,14,15,16], where in accordance with the model sketched above the particle is considered as a steady state with a constant throughput of energy

  • With our two-momentum approach to an emergent quantum mechanics we have shown that one can in principle base the foundations of quantum mechanics on a deeper level that does not need wavefunctions

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Summary

Introduction

Quantum Mechanics without Wavefunctions “Emergent Quantum Mechanics” stands for the idea that quantum mechanics is based on a more encompassing deeper level theory. Throughout recent years, apart from our own model, several approaches to a quantum mechanics without wavefunctions have been proposed [1,2,3,4,5] These refer to “many classical worlds” that provide. It is the one classical world together with the fluctuating environment related to the vacuum energy that enters our definition of a quantum as an emergent system The latter consists of a bouncer and an undulatory/wave-like nonlocal environment defined by proper boundary conditions This, leads to the two-momentum approach to emergent quantum mechanics which shall be outlined

The Two-Momenta Approach to Emergent Quantum Mechanics
Derivation of the De Broglie–Bohm Guiding Equation for N Particles
Vacuum Landscaping
Conclusions and Outlook
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