Wave-Particle Duality of Gravitational Wave and Designed Experiment

Huei Peng

We restudy the particle double slit experiment and wave-particle duality of matter. We argue that: (1) a particle moving with acceleration has no wave-like behavior; thus (2) it is the acceleration of particle caused by the photons during an optical observation that collapses a matter wave; (3) This mechanism does not affect the history of the particle’s movement prior to the observation takes place. Modified double slit apparatus with various configurations covering different ways of accelerating particle is propose to investigate the wave-particle duality of accelerating matter and test the mechanism. Also we propose: (1) a free falling double slit experiment in a gravitational field. (2) An experiment in which, relative to an observer in Lab, the slit wall and detection screen are accelerated and the particle keeps constant speed. We raise a question that if, after the acceleration, the particle continuously flies with a constant speed before reaching the detection screen, would it regain wave-like behavior automatically? We also design an experiment to test this possibility.

Friedwardt Winterberg

Hudson A. Loughlin, Germain Tobar, Evan D Hall +1 more

In a consistent description of the quantum measurement process, whether the wave or particlelike aspect of a system is revealed depends on the details of the measurement chain, and cannot be interpreted as an objective fact about the system independent of the measurement. We show precisely how this comes to be in the measurement of gravitational radiation. Whether a wave or particlelike aspect is revealed is a property of the detector employed at the end of the quantum measurement chain, rather than of the meter, such as a gravitational-wave (GW) antenna or resonant bar, used to couple the radiation to the detector. A linear detector yields no signal for radiation in a Fock state and a signal proportional to the amplitude in a coherent state—supporting a wavelike interpretation. In contrast, the signal from a detector coupled to the meter's energy is nonzero only when the incident radiation contains at least a single graviton. Thus, conceptually simple modifications of contemporary GW antennae can reveal wave-particle duality in the measurement of gravitational radiation.

Paul O’Hara

Christian Cormier-Delanoue

Maricel Agop, Pavlos D. Ioannou, Călin Buzea

In the Gregorash–Papini–Wood approach to the Weyl–Dirac theory, some superconducting properties of the wave equation are analysed. In a special topology, for a constant modulus of the wavefunction, the phase gradient verifies an effect analogous to the gravitational Meissner effect (there is no momentum transfer between the wave and the particle, and the wave–particle duality is achieved by self-tunnelling). Through the gravitational Meissner effect the oscillation modes of a particle are cnoidal, and in a superconducting cylinder a quantum fluid moving along its axis is self-focusing. The matching between quantum hydrodynamics and wave mechanics is similar to the quantization of the gravitational fluxoid, and their unmatching is analogous to the gravitational analogue of the Aharonov–Bohm effect. The absence of the gravitational Meissner effect implies a permanent transfer of momentum between the wave and the particle such as the interior of the particle structured like a lattice. By defining a free energy we show that the wave–particle duality is equivalent to a normal–superconducting phase transition. In this context by generalizing the one-dimensional solution of the WD equation to the two-dimensional case, one can induce a superconducting state by in-phase oscillations of a vortex lattice.