# Thoughts on realistic model of electon Zitterbewegung

• johne1618
In summary, researchers have proposed a physical model of electron Zitterbewegung as a massless particle moving at the speed of light in a circular orbit. This model is supported by de Broglie's conjecture and the relationship between the orbital angular momentum and total mass/energy of the electron. There is a question of whether this mass can be interpreted as the kinetic energy of the orbiting particle. However, Wheeler and Feynman have proposed an alternative hypothesis that the inertia of the electron comes from the exchange of waves with other electric charges.
johne1618
Thoughts on "realistic" model of electon Zitterbewegung

Several researchers, for example David Hestenes, have a physical model of electron Zitterbewegung as a massless particle traveling at the velocity of light, c, around a circle of radius r.

This is my take on what this might imply.

Following de Broglie's conjecture, the orbital angular momentum of this massless particle is equal to hbar so we have:

m_e c r = hbar

m_e = hbar / c r

where m_e is the total mass/energy of the electron.

I understand that the Zitterbewegung frequency of the electron is:

w = 2 m c^2 / hbar

Following Hestenes' model above, the circular frequency w is given by:

w = c / r

Thus we find:

m = hbar / 2 c r

I was wondering if the above mass m can be pictured as representing the kinetic energy of the massless orbiting particle which makes up half the total mass/energy of the electron system.

John

johne1618 said:
Several researchers, for example David Hestenes, have a physical model of electron Zitterbewegung as a massless particle traveling at the velocity of light, c, around a circle of radius r.

This is my take on what this might imply.

Following de Broglie's conjecture, the orbital angular momentum of this massless particle is equal to hbar so we have:

m_e c r = hbar

m_e = hbar / c r

where m_e is the total mass/energy of the electron.

I understand that the Zitterbewegung frequency of the electron is:

w = 2 m c^2 / hbar

Following Hestenes' model above, the circular frequency w is given by:

w = c / r

Thus we find:

m = hbar / 2 c r

I was wondering if the above mass m can be pictured as representing the kinetic energy of the massless orbiting particle which makes up half the total mass/energy of the electron system.

John
So Hestenes hypothesizes that "circular motion", "radius" and "orbiting" have a meaning at the scale of an electron. What could be the experimental support for such an assumption ?

When they worked together, J. A. Wheeler and R. P. Feynman took a quite opposite hypothesis, and showed that all the inertia of the electron (but alas not of the heavy ones, muon and tauon) came from the sum of advanced and retarded waves to and from the other electric charges. An external coupling.

Last edited:

## 1. What is Zitterbewegung?

Zitterbewegung, which translates to "trembling motion" in German, is a theoretical phenomenon that suggests an electron constantly undergoes a high-speed jittery motion due to its interaction with the surrounding electromagnetic field.

## 2. Why is it important to have a realistic model of Zitterbewegung?

A realistic model of Zitterbewegung can help us better understand the fundamental behavior of electrons and their interactions with the electromagnetic field. It can also have practical applications in fields such as quantum computing and particle physics.

## 3. How is the Zitterbewegung model different from other models of electron motion?

The Zitterbewegung model is different from other models of electron motion because it takes into account the electron's interaction with the electromagnetic field, rather than just considering it as a point particle. This results in a more complex and realistic description of electron behavior.

## 4. Are there any experimental observations of Zitterbewegung?

Yes, there have been several experimental observations of Zitterbewegung in various systems, including graphene, bismuth telluride, and superconductors. These observations have provided evidence for the existence of this phenomenon and have helped in developing more realistic models.

## 5. How can a realistic model of Zitterbewegung be useful in quantum mechanics?

A realistic model of Zitterbewegung can help in understanding and predicting the behavior of electrons in quantum systems. It can also aid in the development of more accurate calculations and simulations in quantum mechanics, leading to further advancements in the field.

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