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Explanation of the Quantum-Mechanical Particle-Wave Duality through the Emission of Watt-Less Gravitational Waves by the Dirac Equation

  • Friedwardt Winterberg EMAIL logo
Published/Copyright: November 20, 2015
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 71 Issue 1

Abstract

An explanation of the quantum-mechanical particle-wave duality is given by the watt-less emission of gravitational waves from a particle described by the Dirac equation. This explanation is possible through the existence of negative energy, and hence negative mass solutions of Einstein’s gravitational field equations. They permit to understand the Dirac equation as the equation for a gravitationally bound positive–negative mass (pole–dipole particle) two-body configuration, with the mass of the Dirac particle equal to the positive mass of the gravitational field binding the positive with the negative mass particle, and with the mass particles making a luminal “Zitterbewegung” (quivering motion), emitting a watt-less oscillating positive–negative space curvature wave. It is shown that this thusly produced “Zitterbewegung” reproduces the quantum potential of the Madelung-transformed Schrödinger equation. The watt-less gravitational wave emitted by the quivering particles is conjectured to be de Broglie’s pilot wave. The hypothesised connection of the Dirac equation to gravitational wave physics could, with the failure to detect gravitational waves by the LIGO antennas and pulsar timing arrays, give a clue to extended theories of gravity, or a correction of astrophysical models for the generation of such waves.

Keywords: Gravitational Waves; Particle-Wave Duality; Quantum Gravity
Corresponding author: Friedwardt Winterberg, Department of Physics, College of Science, University of Nevada, 1664 N. Virginia Street, 89557, USA, E-mail:

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Received: 2015-7-9
Accepted: 2015-10-27
Published Online: 2015-11-20
Published in Print: 2016-1-1

©2016 by De Gruyter

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  8. Explanation of the Quantum-Mechanical Particle-Wave Duality through the Emission of Watt-Less Gravitational Waves by the Dirac Equation
  9. Closed Analytical Solutions of the D-Dimensional Schrödinger Equation with Deformed Woods–Saxon Potential Plus Double Ring-Shaped Potential
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  11. The Non-Alignment Stagnation-Point Flow Towards a Permeable Stretching/Shrinking Sheet in a Nanofluid Using Buongiorno’s Model: A Revised Model
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https://doi.org/10.1515/zna-2015-0331
Keywords for this article
Gravitational Waves; Particle-Wave Duality; Quantum Gravity

Articles in the same Issue

  1. Frontmatter
  2. Theoretical Investigations on the Elastic and Thermodynamic Properties of Rhenium Phosphide
  3. Lax Pair, Conservation Laws, Solitons, and Rogue Waves for a Generalised Nonlinear Schrödinger–Maxwell–Bloch System under the Nonlinear Tunneling Effect for an Inhomogeneous Erbium-Doped Silica Fibre
  4. Effect of Trace Fe3+ on Luminescent Properties of CaWO4: Pr3+ Phosphors
  5. Rogue-Wave Interaction of a Nonlinear Schrödinger Model for the Alpha Helical Protein
  6. Multi-Scale Long-Range Magnitude and Sign Correlations in Vertical Upward Oil–Gas–Water Three-Phase Flow
  7. Theoretical Study of Geometries, Stabilities, and Electronic Properties of Cationic (FeS)n+ (n = 1–5) Clusters
  8. Explanation of the Quantum-Mechanical Particle-Wave Duality through the Emission of Watt-Less Gravitational Waves by the Dirac Equation
  9. Closed Analytical Solutions of the D-Dimensional Schrödinger Equation with Deformed Woods–Saxon Potential Plus Double Ring-Shaped Potential
  10. Solitons, Bäcklund Transformation, Lax Pair, and Infinitely Many Conservation Law for a (2+1)-Dimensional Generalised Variable-Coefficient Shallow Water Wave Equation
  11. The Non-Alignment Stagnation-Point Flow Towards a Permeable Stretching/Shrinking Sheet in a Nanofluid Using Buongiorno’s Model: A Revised Model
  12. Rapid Communication
  13. Extrinsic and Intrinsic Contributions to Plasmon Peaks in Solids
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