Internal structure of the electrostatic force?

Discuss how polywell fusion works; share theoretical questions and answers.

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Post by jarek »

I completely agree that we shouldn't just ignore the problem of 'gluing' electric field toward the center of e.g. electron:
- because of singularity, the interaction cannot be just pure electromagnetism - it has to deform (e.g. into weak/strong interaction),
- if field in vacuum would enforce that charge(/spin) inside a region can obtain only integer values (like for topological charge), particles could be just such stable field configurations themselves (solitons).

There are some models searching for field configurations of e.g. electron, like 'Penrose twistors', or just as solitons guarded by topological constrains like charge or spin.
One such approach is of prof. Faber (paper) - there is a field of directions: a point from 2D sphere in each point of spacetime, which is equator of 3D sphere, but going out costs energy (potential term).
So the simplest topologically nontrivial configuration is hedgehog (we cannot have fractional charges) - but to avoid topological conflict, it has to get out of the equator (2D sphere) in the center of electron, toward one of 2 poles of 3D sphere (choosing spin) - it gives electron rest energy, which through Lorentz invariance became also inertial mass. Vacuum dynamics of this field occurs to recreate electromagnetism on effective level.
This simple model doesn't leave place for e.g. internal clock of particles required for their wave nature and can only model single electron - the perfect situation would be having a single field, which family of topological solitons correspond with our particle menagerie and their dynamics - it seems it can be obtained by just adding auxiliary axes perpendicular to Faber's main axis and make deformations less abstract, getting quite promising ellipsoid field - here are pictures.

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Electron is surprisingly round...

Post by Nik »

Slightly OT: ... -year.html

( -- Scientists at Imperial College London have made the most accurate measurement yet of the shape of the humble electron, finding that it is almost a perfect sphere, in a study published in the journal Nature today.


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Post by happyjack27 »

as far as is known, an electron has no internal structure, no volume, and is its charge distribution is perfectly spherical. as was mentioned above, quantum uncertainty about its position prevents the singular nature of the 1/r^2 electromagnetic force - as well as gravitational force (for as far as we know an electron is a massive point-particle) - from acting like a black hole. and besides, when you're at scales where quantum uncertainty dominates, "internal structure" starts to lose its meaning, as now you're looking at phenomena dominated by quantum interference.

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Post by jarek »

Nik, read the abstract at the bottom of physorg article - they wanted to make it looks great, but in fact it's only about finding new limit for electric dipole moment of electron.
But it's nice they write about 'shape' of electron - points doesn't have shapes ...

happyjack, you say that because of uncertainty principle there is some quantum magic happening and so we cannot even think what is happening there ...
But uncertainty principle restricts only our measurement possibilities - what does it say about objective dynamics of the system?

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