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