20 DOC.
10
MAY 1914
satisfy
the relation
udQ
=
dlgW,
where
lg
W
=
lJdrflgy.
(6)
However,
contrary
examples
of such
G(q, p,
a)'s
also exist in which
udQ
=
dlgW
is
violated.
(7)
In all extensions of
the
quanta
approach,
we
remain within
the
weight
class
G(q,
P, a) =
r(i).
(8)
Then
I
hope
also to be able to
present
to
you orally
my
reflections
on
why
the
Fokker
systems satisfy
the
2nd law
even
though
it is
impossible
to
describe
them
as
the
“most
probable”
distributions
(!!!!).
(9)
As
a
closing
remark
[Schlussbemerkung]
a) Planck,
Einstein,
Debye
work with
G(q, p,
a),
therefore it
is
worthwhile
to
examine
why
these
people
do
come up
with
udQ
=
dlgW
with
such anti-
Boltzmann
spirited
G's.
b)
Only
once
did
anyone
work
with
G(q,
p,
a,
T):
Herzfeld.[14]
This
displeases
me.
c)
Ideal
gas can
“of
its
own
accord”
happen to
shrink to
half
its
volume
on one
occasion and
to
a
1/3
on
another,
as
if labeled item
(a)
had
compelled
it.-Classical
Hertzian resonators at
frequency
v0
could
“by
coincidence” all be
“stunned” at
once.
On arrival
at
the Planck
ellipses they
will
belong
in
frequency
v(a1,
B1),
in
another instance
by
chance
to
Planck
ellipses
that
belong
in
frequency
u(a2,
B2)-as
if
they had
been
pressed
on
to
these
ellipses through
corresponding
a,
ß
values
with the
aid of the
quantum
hypothesis
lever.-Calculate
the
quotients
of
the
probabilities of
both
these coincidences.
Yes
sir-this would be
the
entropy
calculation in Boltzmann’s
spirit.
You
see
I
understand
your
comment.
But
did
Planck,
you,
and
Debye
calculate it
like
this?-
No!-
Rather with
G(q,
p,
a)
see
e.g.,
Einstein,
Ann.
d. Phys.
22
(1907)
p.
182 bottom.[15]
Einstein:[16] "You
are
inclined to
the
view
that
lg
W deviates from
thermodynamic
entropy.
You
prove
that
this
is
really
the
case
if
the
probability
function
G(q,
p,
a)
depends
on
the
a
parameters.
(1)
I
believe, however,
that the
assumption
of such
a
dependency
is
not
permissible,
that
it
is
even
completely
contrary
to Boltzmann’s
conception.
(2)
For if
you
only
have
a
look
at
the
states which
the
system
assumes
of
its
own
accord
in the
course
of
time,
it
is
evident
that then
variable
parameters
a
are
altogether
inconceivable
as
independent
entities.
(3)
The
scale
by
which
the
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