# Why Bare Electron has Infinite Charge and Mass

*From*: Zilla <zillazip82@xxxxxxxxx>*Date*: Thu, 14 Feb 2008 18:18:27 -0800 (PST)

This concept of bare electron and virtual particles reaching

infinite values is really bizarre to the max so I'll quote the

sources from an interesting particle physics book:

"When the virtual photon fluctuates into the virtual electron

positron pair, its energy must be shared, part going to the

electron and part to the positron. But there are a large

number - in fact, an infinite number - of different ways

that energy can divide itself between the positron and

the electron. The energy of one of the two can be pretty

much anything, as long as the other has the correct

amount of energy to compensate and to make the

total add up to the virtual photon's energy. When

all these different possibilities are taken into account,

the interaction probability of figure 4.8c, instead of

being 10,000 smaller than that of figure 4.4c, is

larger - much larger. In fact, because there's an

infinite number of ways for the process to take place,

the calculated interaction probability is infinite.

This is an unacceptable state of affairs. When this

more complicated diagram is included (which it

must - recall Feynmann's rule that anything that

can happen must happen), we find that our quantum

field theory cannot predict the relative probability of

electrons scattering off each other into the various

directions that you might mount a detector because

the probability of scattering into any given direction

is predicted to be infinite. Since the most that

a probability can be is one, something is wrong.

So, after all its great insights and advancements,

some of them strikingly confirmed by experiments,

are we to conclude that quantum field theory is

useless, having been pecked to death by these

ephemereal matter-antimattter fluctuations?

Luckily, no. But it took some serious soul searching

by Feynman and others to recognize the source

of the problem and to dream up a fix for it. The

approach that we eventually successful in overcoming

this hurdle is known as renormalization"

--------------------

(back to me)

Well.. in renormalization, the charge of the bare

electron is made infinite to make everything come

out right. Now listen to this stuff by Steven Weinberg's

"Dream of a Final Theory" about the bare electron

infinite mass:

"[The total energy of the atom] depends on the bare

mass and bare charge of the electron, the mass and

charge that appear in the equations of the theory before

we start worrying about photon emissions and reabsorptions.

But free electrons as well as electrons in atoms are

always emitting and reabsorbing photons that affect

the electron's mass and electric charge, and so the

bare mass and charge are not the same as the

measured electron mass and charge that are listed

in tables of elementary particles. In fact, in order

to account for the observed values (which of course

are finite) of the mass and charge of the electron,

the bare mass and charge must themselves be

infinite. The total energy of the atom is thus the

sum of two terms, both infinite: the bare energy

that is infinite because it depends on the infinite

bare mass and charge, and the energy shift ... that

is infinite because it receives contributions from

virtual photons of unlimited energy."

------------------------

(back to me)

So you see, a bare electron charge and mass is

infinite.. something not even Wilson Renormalization

Group can get rid of. So I just wonder what is

the source of the bare electron infinite charge

and mass. What do you think? Initially I think it's

something akin to black hole singurality but

in reality it may involve more exotic physics.

Z.

.

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