De Broglie waves as an effect of clock desynchronization

Baylis, W. E.

doi:10.1139/p07-121

Cited by 24 publications

(24 citation statements)

References 19 publications

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“…A spatial distribution with a synchronized phase oscillation in its rest frame becomes a de Broglie wave in the lab after a boost by the eigenspinor Λ. [35] Re-expressing the proper time as the Lorentz invariant τ = xū 0 S , we find the phase factor in terms of lab coordinates…”

Section: De Broglie Waves and Spin Interactionmentioning

confidence: 90%

Quantum/Classical Interface: Classical Geometric Origin of Fermion Spin

Baylis

Cabrera

Keselica

2010

Adv. Appl. Clifford Algebras

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Although intrinsic spin is usually viewed as a purely quantum property with no classical analog, we present evidence that fermion spin has a classical origin rooted in the geometry of three-dimensional physical space. Our approach to the quantum/classical interface is based on a formulation of relativistic classical mechanics that uses spinors. Spinors and projectors arise naturally in the Clifford's geometric algebra of physical space and not only provide powerful tools in classical electrodynamics, but also reproduce a number of quantum results. We show in particular that many properties of elementary fermions, as spin-1/2 particles, are obtained classically and relate spin, the associated g-factor, its coupling to an external magnetic field, Zitterbewegung, and de Broglie waves. Spinors are also amplitudes that can undergo quantum-like interference. The relationship of spin and geometry is further strengthened by the fact that physical space and its geometric algebra can be derived from fermion annihilation and creation operators. The approach is important because of the insights it provides about spin and quantum phenomena more generally. Mathematics Subject Classification (2000). 15A66, 81P15, 81R25, 83A05.

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Section: De Broglie Waves and Spin Interactionmentioning

confidence: 90%

Quantum/Classical Interface: Classical Geometric Origin of Fermion Spin

Baylis

Cabrera

Keselica

2010

Adv. Appl. Clifford Algebras

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“…Equation 25is a generalized Davies-Unruh temperature and is perspectival. The de Broglie matter-waves are fundamentally relativistic entities [26,27], and the two velocities u ω , v ω represent the inclination of the space-and time axis, respectively. If we chose a massless (no rest-mass) wave, we are in the invariant situation, where v ω = u ω = c and Equation 25turns into the well known Davies-Unruh formula:…”

Section: Minkowski Spacementioning

confidence: 99%

On the Reality of Quantum Collapse and the Emergence of Space-Time

Schlatter

2019

Entropy

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We present a model, in which quantum-collapse is supposed to be real as a result of breaking unitary symmetry, and in which we can define a notion of “becoming”. We show how empirical space-time can emerge in this model, if duration is measured by light-clocks. The model opens a possible bridge between Quantum Physics and Relativity Theory and offers a new perspective on some long-standing open questions, both within and between the two theories.

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“…Although this is a correct description of the time dilation effect on frequency, it does not correctly account for the phase of the zitter motion of the non-stationary test particle as observed in the laboratory frame. The latter is properly [12] determined by Lorentz transformation as ωτ = γω(t − υ · x/c 2 ), where τ is the time coordinate in the test zitter particle rest frame, and x is the test zitter particle position. The present version (v13) of this article is corrected accordingly beginning at Eq.…”

Section: Erratamentioning

confidence: 99%

Does Bohm’s Quantum Force Have a Classical Origin?

Lush

2016

Found Phys

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In the de Broglie -Bohm formulation of quantum mechanics, the electron is stationary in the ground state of the hydrogen atom, because the quantum force exactly cancels the Coulomb attraction of the electron to the proton. In this paper it is shown that classical electrodynamics similarly predicts the Coulomb force can be effectively canceled by part of the magnetic force that occurs between two similar particles each consisting of a point charge moving with circulatory motion at the speed of light. Supposition of such motion is the basis of the Zitterbewegung interpretation of quantum mechanics. The magnetic force between two luminally-circulating charges for separation large compared to their circulatory motions contains a radial inverse square law part with magnitude equal to the Coulomb force, sinusoidally modulated by the phase difference between the circulatory motions. When the particles have equal mass and their circulatory motions are aligned but out of phase, part of the magnetic force is equal but opposite the Coulomb force. This raises a possibility that the quantum force of Bohmian mechanics may be attributable to the magnetic force of classical electrodynamics. It is further shown that non-relativistic relative motion between the particles leads to modulation of the magnetic force with spatial period equal to the de Broglie wavelength.

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De Broglie waves as an effect of clock desynchronization

Cited by 24 publications

References 19 publications

Quantum/Classical Interface: Classical Geometric Origin of Fermion Spin

Quantum/Classical Interface: Classical Geometric Origin of Fermion Spin

On the Reality of Quantum Collapse and the Emergence of Space-Time

Does Bohm’s Quantum Force Have a Classical Origin?

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