The Theory
Since of
the birth of Quantum Mechanics (QM), the idea of a hypothetical unified
"Quantum-Wave" theory of light, introduced by Albert Einstein in its
work on the nature of ligth, derives from the inadequacy of both quantum and
classical electromagnetic (EM) theories in describing coherently the whole of
phenomena associated with light. In a different context, a similar difficulty
in the deep comprehension of some aspects of quantum (and classical) theory,
has been expressed by R.P. Feynman in his book [1] on QED. Feynman,
considering the Sommerfeld's fine structure constant writes that it seems
to have been written by God's hand and that we do not know how he may have
moved his pencil in deriving it.
The
physical role of the fine structure constant and its theoretical connections
with the most important electromagnetic (EM) constants, put in evidence how
Feynman's sentence contains the same idea of Einstein's. In fact, "God's
hand" should be obviously interpreted as a unique universal drawing of
nature describing an (unknown) theory able to justify all the microscopic and
macroscopic phenomena associated with light, matter and the electromagnetic
field.
Following
Einstein and Feynman's idea, a new model of the dynamical behaviour of a pair
of charges during their em interaction has been proposed in ref. [2-3-4 ]. The model allows us
to propose a derivation of the value of the coupling constant . Planck's
constant as well as quantum
energy and momentum exchanged during the pair interaction follow in the same
phenomenological context and a coherent derivation for an uncertainty principle
can also be obtained.
We think
that the physical ideas contained in the model [2-3-4 ], if theoretically
organised in a wider context, should permit the construction of a
"bridge" between the phenomenology described by QM and that described
by the classical EM theory. In this sense the "Bridge Theory"
(BT) is able to unify wave and quantum EM theory, yielding a continuity between
wave and quantum em phenomenology.
In this paper, we review the derivation of the BT putting a special emphasis on
its classical, but non-standard, foundations. New results concerning classical
and quantum em phenomenology are given.
The
Basic Ideas
The theory develops from the consideration that the effective spatial symmetry
that characterises an EM wave depends on the nature of the source. If we
consider an ideal point-like source of EM waves, the propagation occurs
radially with spherical wave fronts, so that also the Poynting’s vector (PV)
will be radial. We shall call "ideal" such a source. On the other
hand, in nature one never deals with "ideal" sources. The simplest
source that can be produced is at least endowed with a dipole moment, usually
is not point-like. Therefore the propagation will not occur by a spherical wave
front and the PV will not be radial everywhere. Hence, the PV will have a
transverse component different from zero. We shall call "real" such a
kind of EM source.
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