o
It
is
shown
that mass quantization in the
o
A
theory of a fundamental length follows
o
Field equations are presented for Bose-
field follows
fran
the theory.
naturally
fran
the formulation.
Einstein and Fermi-Dirac mass states, as well as
associated quantities.
processes described are readily visualized,
it
becanes easy to formulate experimental tests of
theory and to interpret these. Moreover, since
the processes discussed are agreed to exist, the
theory provides a unified franework into which to
fit
the many diverse phenanena asswiated with
very small and very large scales of measurement.
A
consequence of such a formulation is that the
experimentalist can expect to be able to predict
how each of the fields, which can
be
generated by
present day technology, can affect the other
fields represented by this theory. The proposed
control of the gravitational field discussed in
the first part of the paper is derived by such
considerations.
physics and of the quantum mechanics
fran
the
proposed theory constitutes an experimental
proof of sane of the theory.
similar to the molecular and atanic theory of
matter before Einstein's paper on the Brownian
motion (i.e., many known macroscopic properties
of matter could be explained and unified).
It
is
believed that,
like the atanic theory, enough new
results (aside
fran
the application to the con-
trol
of
gravitation)
will
be
deduced
fran
the
theory to make
it
worthwhile.
expectation that the theory
is
proposed.
ever,
the
clarification of the nature of inertial
mass, gravitational mass, and the ether (i.e., its
existence) and the provision
of
a clearly visual-
ized structure to unify the data of modern
physics
in
exchange for a single additional
assunptim. make the theory worth consideration.
o
Since the theory
is
linear, and the
o
The derivation of the
laws
of classical
In
this sense,
it
is
It
is
in
this
How-
I.
A
Model for the Generation
of
the Gravitational Force
1.0
Introduction
The most evident property of the gravita-
tional force
is
that
it
appears
in
the
presence
of
matter (measured by inertial mass) and not
otherwise.
It
is remarkable that whatever the
state of matter
fran
cold dust clouds to very hot
stars, the sane
law,
Newton's Law of Gravita-
tional Force, remains an accurate representation
of the force between two masses, and that this is
dependent solely on the masses and separation of
the
twO
bodies.
This constancy of behavior argues a comnon
mechanism operating
to
cause the force, inde-
pendent of variability of physical state and
temperature.
Thus we seek canon features
of
all
the forms of matter known to exist
on
an astro-
nomical scale, for which the gravitational force
becanes
appreciable. One such comnon feature
is
the experimentally verified observation that all
matter
is
confined
to
elenentary particles.
It
Is
therefore
natural
to
nquire
if
sane property
of
elementary particles can be responsible for
the gravitational force. This we
will
try
to
show in the following.
In
the developnent of the
ideas to follow. we shall not adopt the point of
view that a single kind of elementary particle is
responsible for the force. For
if
this were
so,
it
would then be necessary to explain why large
extremes of physical states do not result
in
a
variation of the populations of the particles in
question, and a possible alteration of the gravi-
tational force as a consequence.
A
simpler model
is chosen below, one which relies
on
a property
to be found also on a classical scale, involving
gas kinetic properties which are well understood.
In applying the model
it
is necessary to
show how subatanic particles, whatever their
nature and frequency of occurrence, can all give
rise to the same kind of force field. The
details of the interaction between elementary
particles
will
not be discussed;
these should not
be necessary
if
the force
is
a result
of
averag-
ing over a feature common to all
of
them. The
model
is
in the spirit (and was suggested by) the
kinematic description of a matter-energy field,
developed
in
Reference
1
and
in
Part
I1
of this
paper.
It
deduces forces
fran
a known motion or
state, rather than relying upon a dynamic
description which requires detailed knowledge of
the forces of the interaction,
fran
which the
motion of the physical system can be deduced.
Moreover, once having described a model of the
processes which give rise to the force of gravi-
tation, a procedure can be proposed by which the
force may be altered, i.e. weakened or
strengthened. This
is
also described below.
formulation of the gravitational field, which
the origin of the field. Moreover, the model
adopted views matter essentially
as
an aspect of
a matter-energy field, a concept developed in a
more consistent way
in
Part
I1
of
this paper.
The latter concept is familiar to physicists,
although a unified description of matter-radia-
tion is not. The remaining concepts employed are
taken
fran
modern visualizations of physical
processes.
1.1
Kinematic Model for the Gravitational Force
The feature postulated as basically
responsible
for
the gravitational
force
is
the
stability
of
elementary particles during the time
they exist. This stability is expressed
in
the
fact that the mass
m
of the particle
is
constant,
or, to
put
it
sonewhat differently, that its
Conpton wavelength hlmc
is
constant.
the extent of virtual processes associated with a
given particle.*
*As
pointed out
in
Reference
1,
and more
explicitly described
in
Part
11.
the Canpton
wavelen th is a measure of the principal
extent
of
an eyementary particle matter-energy cloud,
essentially
a
field phenanenon, rather than a
particle accanpanied by the products of virtual
processes.
As
shown
in
Reference
1
and in Part
11,
although h/mc is a mall quantity, the
average
effect
of
virtual processes
leads
to
an
inverse square force
law,
i.e. these processes
extend beyond the Canpton wavelength.
L
We here depart
fran
Einstein's geanetrical
does not indicate any physical process leading to
J
But the Canpton wavelength is a measure
of
U
2
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