Eugene Stefanovich wrote:

wrote:
Eugene Stefanovich wrote:

Hello everybody,

I am pleased to announce that a new book
is available for download on my web-site www.meopemuk.com.
The title of the book is "Relativistic quantum dynamics"
It describes a successful attempt to unite relativity
and quantum mechanics, avoiding paradoxes and divergences.
Some of these topics were already discussed on this
newsgroup. Many thanks to those who participated.
Especially to Bill Hobba and Bilge.

The key difference of my approach
is in correct understanding
of the principle of relativity and Lorentz transformations.
Yes, I am correcting Einstein! Einstein rigorously
derived linear Lorentz transformations
of special relativity (and all their consequences,
like time dilation and length contraction)
for freely propagating light pulses. His mistake was to generalize
these formulas for all physical systems independent on their
composition and interactions. In my approach, the
multiplication law of the Poincare group of inertial
transformations requires that both time translations
and transformations to the moving frame (boosts) must
depend on interaction. Then, universal and linear Lorentz
transformations of special relativity are just an approximation
(not a bad one, though).

I used these ideas to construct fully relativistic quantum theory
of charged particles and photons. As in quantum electrodynamics,
particles may be created and annihilated. In contrast to QED,
I do not use fields. My approach operates with particle
observables (position, momentum, spin projections) and with
direct instantaneous interactions between particles.
There are several interesting features of this theory which
are discussed in detail in the book:
1. The instantaneous propagation of interaction does not
contradict causality (there is no "grandfather paradox"), if
dynamical character of boost transformations (see above)
is properly taken into account.
2. Ultravolet divergences of QFT are completely eliminated
from both Hamiltonian and the S-matrix. The S-matrix in
my approach is exactly the same as in renormalized QED,
so all QED predictions (electron's magnetic moment, Lamb's
shifts, etc) are still valid.
3. In contrast to QED which is interested only in the S-matrix
and scattering
processes (the connection between observables in the distant past
and the distant future), my approach has well-defined finite
Hamiltonian, which allows to study time dynamics during interaction.

The book is about 450 pages long. I tried to write it on
elementary, but rigorous level. I also tried to avoid phrases
like "one can show that...". All central results have detailed proofs,
or, at least, references to papers/books where such proofs can be
found. The book covers rotations in 3D
space, the renormalized QED, and everything in between.
In two last chapters I presented new (and surely controversial)
developments:
1) the elimination of ultraviolet infinities in quantum field
theory using "dressed particle" approach.
2) calculation of corrections to the Einstein's time dilation
law in the case of fast moving unstable particle.

I hope you will find this book not boring and thought-provoking.
I would be glad to read your comments either on these newsgroups
or at my e-mail address
You can also visit my web-site www.geocities.com/meopemuk

Thank you.
Eugene Stefanovich.


Thanks for your contribution. I would be more thankfull
if it were peer reviewed.

You are welcome. I am going to publish this book in due course.
You can witness the peer review process "live" on this newsgroup.


I think you're a bit out of synch. You get things reviewed BEFORE
you publish them.

John Anderson