. http://journals.aps.org/pr/abstract/10.1103/PhysRev.21.483 But right there in figure 1B, relativity is used to describe the momentum of the electron. Likewise, relativity is used to describe the geometry of the scattering angle.
. http://journals.aps.org/pr/abstract/10.1103/PhysRev.21.483 But right there in figure 1B, relativity is used to describe the momentum of the electron. Likewise, relativity is used to describe the geometry of the scattering angle.
Academia.edu, researchgate.net and other online sites publish non-peer-reviewed articles. That's great! It's very difficult to get an "alternative physics" article peer reviewed and published by a standard physics journal or even on arXiv.
What if a fundamental particle like a resting electron is composed of a circling photon-like object with energy Eo and vector momentum p = Eo/c where c is the speed of light?
Electrons do have a magnetic dipole moment.A resting electron will only have static charge and no current or magnetic field.
Your circling photon-like object carries electrical charge. So your concept of resting electron will be having a magnetic field. Isn't this contradictory?
A resting electron will only have static charge and no current or magnetic field.
Your circling photon-like object carries electrical charge. So your concept of resting electron will be having a magnetic field. Isn't this contradictory?
Good question. An academia.edu article would probably have to be tweaked slightly and then reformatted to a particular journal's publication standards. An academia.edu staff member told me about a year ago that they are planning to implement their own article peer review system in the future. That would be nice! I was invited to submit my SPIE-proceedings electron-as-spin-1/2-charged-photon article to a peer-reviewed photonics journal, but I choose to wait.Technically, can a paper being posted on academia.edu; be submitted again in a standard journal for peer-review and publication?
Electrons do have a magnetic dipole moment.
The problem for non-relativistic mechanical models of the electron as a spinning charged object is that the magnetic moment of the electron is a bit more than twice the magnetic moment of a charged massive bit with the same angular momentum.
Explaining the factor of 2 is the math of the Poincarè group and the bit more is the math of Quantum Electrodynamics which unlike the OP's pet idea, treats electrons and photons on equal footing as excitations of fields that are only weakly coupled to each other.
As rpenner says, electrons have an intrinsic magnetism, associated with what we call their "spin". There is a famous demonstration of this, called the Stern-Gerlach experiment: https://en.wikipedia.org/wiki/Stern–Gerlach_experiment
Thats true. A spinning electron will be having a magnetic dipole. But can a spinning electron be considered as a 'resting electron'? Rest means no relative linear or angular speed. Here the 'resting electron' is having and angular speed.
Einstein in his paper, "DOES THE INERTIA OF A BODY DEPEND UPON ITS ENERGY-CONTENT?" considered a stationary body with relative to one co-ordinate system. Here the resting body has no linear or angular speed with relative to this co-ordinate system.
https://www.fourmilab.ch/etexts/einstein/E_mc2/e_mc2.pdf
Hello hansda,
In the spin-1/2 charged-photon model of the electron, there is a very rapid internal circulation of momentum, energy and electric charge, but the electron model as a particle is still considered to be at rest unless the particle as a whole has an external velocity.
Richard
Let us consider Einstein's paper as common. We will consider two cases. In one case we will consider the stationary body as conventional model of electron. Name this as case A. In other case we will consider the stationary body as your model of electron. Name this as case B.
In case A, will there be any magnetic field?
But, in the case B, there will be some magnetic field.
Hello hansda,
You need to be more specific about which "Einstein's paper" you are talking about: 1905 E=mc^2 paper ? EPR paper? and please pose the questions more precisely. Thanks!
Richard
Einstein said:Let there be a stationary body in the system (x, y, z), and let its energy— referred to the system (x, y, z) be E0.
Thats true. A spinning electron will be having a magnetic dipole. But can a spinning electron be considered as a 'resting electron'? Rest means no relative linear or angular speed. Here the 'resting electron' is having an angular speed.
Einstein in his paper, "DOES THE INERTIA OF A BODY DEPEND UPON ITS ENERGY-CONTENT?" considered a stationary body with relative to one co-ordinate system. Here the resting body has no linear or angular speed with relative to this co-ordinate system.
https://www.fourmilab.ch/etexts/einstein/E_mc2/e_mc2.pdf
Therefore, if you consider the "spin" of the electron to be a form of classical motion, then you cannot have an electron "at rest", as you put it.
You are mixing definitions. In the math of special relativity, the Poincaré group was realized by Wigner in 1939 to permit representation of particles in quantum theories with intrinsic angular momentum. Thus nothing need be "spinning" for such point-like particles to represent actual, conserved, angular momentum, $$\vec{S}$$.Thats true. A spinning electron will be having a magnetic dipole. But can a spinning electron be considered as a 'resting electron'? Rest means no relative linear or angular speed. Here the 'resting electron' is having an angular speed.
Is your point, then, that "resting electrons" do not exist?That exactly is my point. A spinning electron can not be considered as a 'resting electron'.
Follow this paper https://www.fourmilab.ch/etexts/einstein/E_mc2/e_mc2.pdf .
A quote from the above paper says
With reference to the above quote,
case A considers the stationary body as conventional model of electron.
case B considers the stationary body as your model of electron.
If an electron is composed of a spin 1/2 charged photon circulating at c, clearly it is only this charged photon's average position which can be "at rest" since the charged photon itself is circulating at c. In a relativistically moving electron, the charged photon would be moving in a helical trajectory at c, with its longitudinal velocity component being the velocity v of the moving electron. That's one reason why I'm suggesting that what we call an "electron" is actually one type of circulating spin-1/2 charged photon.
Richard