## Solitons and Complete QED Lagrangian

Foundations of physics and/or philosophy of physics, and in particular, posts on unresolved or controversial issues

### Re: Solitons and Complete QED Lagrangian

Generally we want 511meV mass of electron to completely come from energy of its field configuration.
Cutting out radius ~1.4fm ball in the center, the remaining electric field has ~511keV energy, hence we need deformation of electric field (from of perfect point charge) in a bit larger distance.

Here is Faber's energy density per radius from: https://iopscience.iop.org/article/10.1 ... 012022/pdf for r0~2.2fm:

It drops to zero in r=0 as it contains multiplication by area of sphere.
Red is from electric field - without regularization it would go to infinity in r=0. It was prevented by activated potential - blue plot corresponding to weak/strong interactions.
Jarek

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### Re: Solitons and Complete QED Lagrangian

Jarek wrote:Generally we want 511meV mass of electron to completely come from energy of its field configuration.
Cutting out radius ~1.4fm ball in the center, the remaining electric field has ~511keV energy, hence we need deformation of electric field (from of perfect point charge) in a bit larger distance.

Here is Faber's energy density per radius from: https://iopscience.iop.org/article/10.1 ... 012022/pdf for r0~2.2fm:

It drops to zero in r=0 as it contains multiplication by area of sphere.
Red is from electric field - without regularization it would go to infinity in r=0. It was prevented by activated potential - blue plot corresponding to weak/strong interactions.

What is the scale on the left hand side of the plot?
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FrediFizzx
Independent Physics Researcher

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### Re: Solitons and Complete QED Lagrangian

We see something similar with our formula,

$f(r_x) =\frac{3\alpha\hbar c}{8\pi\,l_P(\frac{2\pi}{\sqrt{\alpha}})r_x} - \frac{3\pi\hbar c}{2\,l_P(\frac{2\pi}{\sqrt{\alpha}}r_x)^3}$

Explanations are here.
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FrediFizzx
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### Re: Solitons and Complete QED Lagrangian

Scale of vertical axis is such that sum of integrals of 3 plots is 511keVs.

The problem with your plot is that it requires negative energy, what is nonphysical - if negative energy is possible, why field of the Universe don't just go there? - as it has tendency to go the the lowest possible energy
Jarek

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### Re: Solitons and Complete QED Lagrangian

Jarek wrote:Scale of vertical axis is such that sum of integrals of 3 plots is 511keVs.

The problem with your plot is that it requires negative energy, what is nonphysical - if negative energy is possible, why field of the Universe don't just go there? - as it has tendency to go the the lowest possible energy

Thanks. The total energy is never negative. The gravitational torsion term only exists within elementary fermions which always have a positive rest mass energy. Don't deceive yourself about this. The large energy for the electrostatic term and the negative torsion term never exist because they balance each other out. The result is the observed positive rest mass energy. That is all that matters. Pun intended.
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FrediFizzx
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### Re: Solitons and Complete QED Lagrangian

The basic rule of physics is minimizing energy.
If you think that field has a possibility to go to negative energy, so why it doesn't use it???????? - in entire universe going to this lower energy state
Jarek

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### Re: Solitons and Complete QED Lagrangian

Jarek wrote:The basic rule of physics is minimizing energy.
If you think that field has a possibility to go to negative energy, so why it doesn't use it???????? - in entire universe going to this lower energy state

That's a good question. But also, why aren't there fermions with more than 10^13 GeV of energy as shown in the plot? Well, Planck length could be a natural ultimate cutoff for the first question. And for the second question is why I am interested in looking at soliton solutions.
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FrediFizzx
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### Re: Solitons and Complete QED Lagrangian

Beside ~10^40 times disagreement, allowing negative field energy is another disqualifying problem - would literally cause entire universe to explode.

I don't know any >10^13GeV fermions and Faber's model don't have them - we search for soliton model which exactly recreates particle menagerie from physics: no more no less.
Jarek

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### Re: Solitons and Complete QED Lagrangian

Jarek wrote:Beside ~10^40 times disagreement, allowing negative field energy is another disqualifying problem - would literally cause entire universe to explode.

I don't know any >10^13GeV fermions and Faber's model don't have them - we search for soliton model which exactly recreates particle menagerie from physics: no more no less.

You are not paying attention at all. There is no negative field energy and there is no 10^40 disagreement. Gravitational torsion field energy does not exist on it own. It only exist within elementary fermions where it is counter balanced by the electrostatic energy. The net result is observed positive rest mass!!!!!!!!!!!!!!!!!
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FrediFizzx
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### Re: Solitons and Complete QED Lagrangian

FrediFizzx wrote:Twisted spacetime is called matter.
I think that's more or less right Fred. ELectromagnetism is spatial curvature. Gravity isn't. It's where space is "neither homogeneous nor isotropic".

Jarek, I don't like the looks of some of the stuff you've been saying here. Imagine you’re standing on a headland overlooking a flat calm sea near an estuary. The water is saltier on the left than on the right. You see a single ocean wave, and notice that its path curves left a little because of the salinity gradient. The sea is an analogy for space. The salinity gradient is an analogy for a gravitational field. The ocean wave is an analogy for a photon. Now look at the surface of the sea where the wave is. It’s curved. It’s curved in a far more dramatic fashion than the curved path of the wave. This observation might sound radical, but see what Percy Hammond said in the 1999 Compumag: “We conclude that the field describes the curvature that characterizes the electromagnetic interaction”. See what Schrödinger said on page 18 of his 1926 paper quantization as a problem of proper values, part II: “classical mechanics fails for very small dimensions of the path and for very great curvature”. Also see what Maxwell said when he was talking about displacement current in 1861: “light consists of transverse undulations in the same medium that is the cause of electric and magnetic phenomena”. Where is space curved? Where the photon is. Because space waves. Matter is where the photon path is a closed twisted path.
JohnDuffield

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### Re: Solitons and Complete QED Lagrangian

JohnDuffield wrote:… Matter is where the photon path is a closed twisted path.

Probably not a photon but a point-like entity that is due to the loop of twisted spacetime not closing. IOW, matter is broken spacetime symmetry. Photons are probably phonons of the quantum vacuum medium.

Our paper relevant to this thread has been updated.
https://arxiv.org/abs/1705.06036
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FrediFizzx
Independent Physics Researcher

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### Re: Solitons and Complete QED Lagrangian

Jarek

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