DOC.
56
363
rejoice that
Mr.
Planck
disregarded
these requirements
in
such
a
fortunate
manner,
it should
not
be forgotten
that the Planck radiation formula
is
incompatible
with
the
theoretical foundation from which
Mr.
Planck
started
out.
5.
It is
simple
to
see
the
way
in which
one
could
modify
the founda-
tions
of the Planck
theory
in order
to
have
the Planck
radiation formula truly
result
from
the theoretical foundations.
I
will
not
present the pertinent
derivations
here
but will rather
just
refer
to
my
papers
on
this
subject.1
The
result is
as
follows:
One
arrives
at
the Planck radiation formula
if
one
1.
adheres
to
equation
(I)
between resonator
energy
and
radiation
pressure,
which
Planck derived
from
Maxwell's
theory2;
2.
modifies the statistical
theory
of
heat
by
the
following
assumption:
A
structure
that is
capable
of
carrying
out
oscillations with the
frequency
v,
and which, due
to its
possession
of
an
electric
charge,
is
capable
of
converting
radiation
energy
into
energy
of
matter
and
vice
versa,
cannot
assume
oscillation
states
of
any
arbitrary
energy,
but rather
only such
oscillation states
whose energy
is
a
multiple of
h.v.
Here
h
is
the
constant
so
designated
by
Planck, which
appears
in
his radiation
equation. [28]
6.
Since the modification of the foundations
of
Planck's
theory
just
described
necessarily
leads
to
very
profound
changes
in
our
physical
theories,
it is
very
important to
search for the
simplest
possible,
mutually independent
interpretations of Planck's radiation formula
as
well
as
of the radiation
law
in
general,
insofar
as
the latter
may
be
assumed to be
known.
Two
considera-
tions
on
this
matter,
which
are
distinguished
by
their
simplicity,
shall
be
briefly
described
below.
Until
now,
the
equation
S
=
N/R
lg
W
has been applied
mainly
to
calcu-
late the
quantity
W
on
the basis
of
a more or
less
complete
theory, and
then
to
calculate the
entropy
from
W.
However,
this
equation
can
also
be
applied
conversely, using
empirically
obtained
entropy
values
Sv
to
obtain the
1A.
Einstein,
Ann.
d.
Phys.
20 (1906)
and
Ann.
d.
Phys.
22
(1907),
§1.
2This
amounts
to
the
same as
assuming
that
the
electromagnetic
theory of
radiation
at
least yields
correct
time
averages.
This,
however,
can
hardly
be doubted,
given
the
utility
of
this
theory
in optics.
[26]
[27]