18
DOC.
10 MAY 1914
the
dangerous
statement
“even though
the
electrodynamic
forces
are
constantly
being compensated by
the
rod”[7]-[R,
b]
is
indeed
compensated, naturally.]-
On
the
G(q, p,
a)
question
(1)
Einstein[8] “The
assumption
of
such
a
dependency
is
not
permissible;
that
it
is
even
completely
contrary
to Boltzmann’s
conception,
for ......
of its
own
accord
in the
course
of time ........”
You
can see
from
(9) on
sheet
6,
7
that
I
understand
you
on
this
point[9]
(2)
I:
Planck’s
“ellipses” hypothesis
and
the
associated
way
of treating
entropy
and
temperature
works with
such
a G(q,
p,
a,
ß).
Naturally
well-known
to
you
Proof:
Draw
on
the
q,
p plane
the
“Planckian
ellipses”
l(aV
+
ßY)
(If)
=
0,
h,
2h....
(1)
Set these
curves
at
weight
1,
all
other
sec-
tions
of
the
plane
at
weight 0.
of the
resonators.
£
=
I
(Oi2q2
+
ß2p2)
the
energy
2
v
=
^~
the
frequency
27T
You
see
with
your
own
eyes
that this
weight
placement
of
the
q,
p
plane
begins
to
dance
a
quadrille
when
you
change intensity
a or
the
resonators’
reciprocal
factor of
inertia
ß
infinitely
slowly
(e.g., collapsing
a
mirror
cavity).
This
weight
placement
is
thus
of
the
form
G(q, p,
a, ß).
And what is
entropy according
to
Planck?
This
function:[10]
S=
kllJfdqdp.f1gG~~~~,
p
q
where
f(q,P,a,ß,p.)
=
N
e
^G(q,p,a,ß)
J J
dq dp e~^£G(q,
p, a,
ß).
(3)
And
Debye
also
(Wolfskehl lecture),
in
generalizing
Planck’s
approach
to
res-
onators,
the
energy
of
which
has
the form