202
MOTION
OF
CENTER OF GRAVITY
originally at rest cannot
perform
a
translational
motion
if
no
other bodies
act
upon
it.
However,
if
one assumes
that
any energy E possesses
the inertia
E/V2,
then
the
contradiction
with
the principles of mechanics disappears. For
according to
this
assumption
the carrier
body
has
a mass
S/V2
while it
transports
the
energy
amount S
from
B
to
A;
and
since the
center
of
gravity
of the
entire
system must be
at rest during
that
process according
to
the center-of-mass
theorem,
the cylinder
K
undergoes
during
it
a
total shift
S'
to
the right,
amounting
to
-
*
S
1
S
=
a

jz

J
.
Comparison
with the result
found above
shows
that
(at least in first
approximation)
6
=
6', i.e.,
that the position
of
the
system
is the
same
before and
after
the cyclic
process.
This eliminates the contradiction with
the
principles
of
mechanics.
§2.
On
the
principle
of
the conservation of the motion
of
the center
of
gravity
We
consider
a
system
of
n
discrete material
points
with
masses
m1,m2...mn
and center
of
gravity
coordinates
x1...zn. With
respect
to
thermal
and
electric
phenomena,
these
material points
are
not
to
be
conceived
as
elementary
structures
(atoms,
molecules),
but
as
bodies in the usual
sense
of small dimensions,
whose energy
is
not
determined
by
the
velocity
of the
center of gravity. These
masses
could act
on
each
other
through
electro-
magnetic
processes
as
well
as
through
conservative forces
(i.e.,
gravity,
rigid
connections);
however,
we
shall
assume
that both the
potential
energy
of
the conservative forces
and
the
kinetic
energy
of the
motion of
the
center of
gravity of
the
masses are
infinitesimally
small relative
to
the
"internal"
energy
of the
masses m1...mn.
Assume
that the
Maxwell-Lorentz
equations
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