Classical field electrodynamics showed incomplete, a revolution in classical physics
Juan R.
The journalist John Horgan became famous by his statements about the
"End of Science" done on that widely publicited book —with the same
apocalyptic title—, on talks, and in other places. Amazingly, several
of the scientists, mathematicians and phylosophers that Horgan
interviewed for his book warned him about the unpredictability of
scientific research, where scientific revolutions cannot be predicted,
as the history of science do not cease to remind us. However, as
pointed by David Hoffman when Horgan does not like their answers, he
refutes them with derisive personal comments.
Recent research (Can Sci. Rep. 2009: 20093v1) turns into a historical
curiosity Horgan premature statements about science.
The Nobel Prize for physics Paul A. M. Dirac —one of the founders of
quantum mechanics— wrote after formulating quantum electrodynamics by
the first time:
"Most physicists are very satisfied with this situation. They argue
that if one has rules for doing calculations and the results agree
with observation, that is all that one requires. But it is not all
that one requires. One requires a single comprehensive theory
applying to all physical phenomena. Not one theory for dealing with
non relativistic effects and a separate disjoint theory for dealing
with certain relativistic effects. Furthermore, the theory has to be
based on sound mathematics, in which one neglects only quantities
that are small. One is not allowed to neglect infinitely large
quantities. The renormalization idea would be sensible only if it
was applied with finite renormalization factors, not infinite ones.
For these reasons I find the present quantum electrodynamics quite
unsatisfactory. One ought not to be complacent about its faults.
[...] Quantum electrodynamics [...] was built up from physical ideas
that were not correctly incorporated into the theory and it has no
sound mathematical foundation. One must seek a new relativistic
quantum mechanics and one's prime concern must be to base it on
sound mathematics."
In recent years, the mathematician Roman Smirnov-Rueda and the
physicist Andrew E. Chubykalo were the first to prove —Phys. Rev. E
(1997, 53, 5373; 1998, 57, 3683) that the classical electrodynamics
based in fields cannot reproduce all the results obtained by
Charles-Augustin De Coulomb more than one hundred and ninety years ago!
For example they showed that the Coulomb potential Phi(R(t)) is
mathematically irreducible to the Liénard-Wiechert scalar potential
Phi(x‚t). Chubykalo and Smirnov-Rueda analysis has been confirmed and
extended in this recent research (Can Sci. Rep. 2009: 20093v1).
The works of very important physicists and mathematicians as Gauss,
Faraday, Maxwell, Poynting, Abraham, Poincaré, Lorentz, Einstein,
Minkowski, and many others was built over the unproven
assumption that the then new model of fields contained any of Coulomb
results as a special case. It has been now showed that this is not the
case. For instance, all the above authors confounded the generalized
simmetries associated to a six-dimensional configurational space with
the restricted simmetries associated to four-dimensional spacetime.
The recent research also shows that the unsolved difficulties with the
classical electrodynamics based in fields —violations of causality,
inertia, and of the principles of equivalence and superposition—.
The theory of special relativity was build over the basis of the field
theory of electrodynamics. The special theory of relativity
has been satisfactorly tested in hundred of experiments and
observations; however, both the imposibility to apply special
relativity to many-body systems in generalized dynamical regimes —the
famous no go theorems— and the difficulties to unify special
relativity with quantum mechanics —read Dirac quote of above— were
never solved.
This Research report also introduces the new post-relativity theory
and discusses its possibilities and advantages over current theories.
This report, already available as pre-release report for Premium members
since last December
http://www.canonicalscience.org/publications/drafts.html
will be available for download as ordinary report the *next* week
http://www.canonicalscience.org/publications/canonicalsciencereports/20093.html
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Juan R.
... are absent in the theories without fields.
> The theory of special relativity was built over the basis of the field