The Wave Function Cannot be a Real Wave Then Can We Speak of an Ontology
of Particles
- URL: http://arxiv.org/abs/2210.03530v1
- Date: Wed, 5 Oct 2022 12:15:06 GMT
- Title: The Wave Function Cannot be a Real Wave Then Can We Speak of an Ontology
of Particles
- Authors: Sofia Wechsler
- Abstract summary: It is shown that the assumption that the wave function is a real wave entails a contradiction with the predictions of the quantum mechanics.
The article concentrates on interpretations which conjecture that the reality that moves in our apparatuses is particles, and they move under the constraints of the wave function.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Is the wave function a physical reality traveling through our apparatus? Is
it a real wave, or it is only a mathematical tool for calculating probabilities
of results of measurements? Different interpretations of the quantum mechanics
(QM) assume different answers to this question. It is shown in this article
that the assumption that the wave function is a real wave entails a
contradiction with the predictions of the QM, when the special relativity is
invoked. Therefore, this text concentrates on interpretations which conjecture
that the reality that moves in our apparatuses is particles, and they move
under the constraints of the wave function. The de Broglie Bohm interpretation,
which matches this picture, assumes that the particle travels along a
continuous trajectory. However, the idea of continuous trajectories was proved
to lead to a contradiction with the quantum predictions. Therefore this
interpretation is not considered here. S. Gao conjectured that the particle is
in a permanent random and discontinuous motion (RDM). As it jumps all the time
from place to place, the total set of occupied positions at a certain time is
given by the absolute square of the wave function. As motivation for his idea,
Gao argued that if a charged particle were simultaneously in two or more
locations at the same time, the copies of the particle would repel one another,
destroying the wave function. It is proved here that the quantum formalism
renders this motivation wrong. Although refuting this motivation, the RDM
interpretation is examined here. A couple of problems of this interpretation
are examined and it is proved that they do not lead to any observable
contradictions with the QM predictions, except one problem which seems to have
no solution. In all, it appears that none of the wide-spread interpretations of
the QM is free of contradictions.
Related papers
- Interpretation of wave function by coherent ensembles of trajectories [0.0]
We revise the ensemble interpretation of wave function in quantum mechanics.
We introduce coherence (auto-concordance) of ensembles of quantum trajectories in the space-time.
arXiv Detail & Related papers (2024-07-12T14:10:04Z) - Apparent violation of causality in relativistic quantum mechanics [0.0]
In relativistic theories the principle of microscopic causality states that information cannot travel faster than the speed of light''
We consider here the wave functions of massless and massive particles.
arXiv Detail & Related papers (2024-04-14T09:52:56Z) - The p-Adic Schrödinger Equation and the Two-slit Experiment in Quantum Mechanics [0.0]
p-Adic quantum mechanics is constructed from the Dirac-von Neumann axioms.
The p-adic quantum mechanics is motivated by the question: what happens with the standard quantum mechanics if the space has a discrete nature?
arXiv Detail & Related papers (2023-08-02T17:10:10Z) - Double-scale theory [77.34726150561087]
We present a new interpretation of quantum mechanics, called the double-scale theory.
It is based on the simultaneous existence of two wave functions in the laboratory reference frame.
The external wave function corresponds to a field that pilots the center-of-mass of the quantum system.
The internal wave function corresponds to the interpretation proposed by Edwin Schr"odinger.
arXiv Detail & Related papers (2023-05-29T14:28:31Z) - Bound state of distant photons in waveguide quantum electrodynamics [137.6408511310322]
Quantum correlations between distant particles remain enigmatic since the birth of quantum mechanics.
We predict a novel kind of bound quantum state in the simplest one-dimensional setup of two interacting particles in a box.
Such states could be realized in the waveguide quantum electrodynamics platform.
arXiv Detail & Related papers (2023-03-17T09:27:02Z) - Partition of kinetic energy and magnetic moment in dissipative
diamagnetism [20.218184785285132]
We analyze dissipative diamagnetism, arising due to dissipative cyclotron motion in two dimensions, in the light of the quantum counterpart of energy equipartition theorem.
The expressions for kinetic energy and magnetic moment are reformulated in the context of superstatistics.
arXiv Detail & Related papers (2022-07-30T08:07:28Z) - About the Nature of the Quantum System, an Examination of the Random
Discontinuous Motion Interpretation of the Quantum Mechanics [0.0]
Gao named it random discontinuous motion (RDM) because it assumes the existence of a particle that jumps from place to place at random.
This text reveals difficulties vis-a-vis entanglements and the special relativity.
arXiv Detail & Related papers (2021-07-12T17:23:27Z) - The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events.
A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
arXiv Detail & Related papers (2021-01-04T16:09:10Z) - Quantum time dilation in atomic spectra [62.997667081978825]
We demonstrate how quantum time dilation manifests in a spontaneous emission process.
The resulting emission rate differs when compared to the emission rate of an atom prepared in a mixture of momentum wave packets.
We argue that spectroscopic experiments offer a technologically feasible platform to explore the effects of quantum time dilation.
arXiv Detail & Related papers (2020-06-17T18:03:38Z) - External and internal wave functions: de Broglie's double-solution
theory? [77.34726150561087]
We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory.
The principle is to decompose the evolution of a quantum system into two wave functions.
For Schr"odinger, the particles are extended and the square of the module of the (internal) wave function of an electron corresponds to the density of its charge in space.
arXiv Detail & Related papers (2020-01-13T13:41:24Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.