D O C . 5 9 J U N E 1 9 1 9 4 9
Weyl wants to come here during the last week of July—at the invitation of the
Wolfskehl Foundation. Perhaps your path will lead you just then through Göttin
gen. Weyl wishes to talk about his ideas regarding gravitation and
electricity.[5]
With cordial regards, yours,
Hilbert.
59. To David Hilbert
Berlin, 11 June 1919
Dear Colleague,
I myself do not know whether I have hit upon the right thing with this
notice.[1]
It refers to the hypothesis of a cosmic pressure (already taken similarly into consid
eration by Poincaré, in order to make the electron comprehensible), which is elim
inated only with my
approach.[2]
The equation (4a) is correctly formed. If one
writes (1a) in the form
then upon calculating the divergence (in the sense of gen. cov[ariant] theory), the
lefthand side disappears identically; the first term on the righthand side yields
the second, apart from the factor
:[3]
or or .
From this (4a) follows immediately.
I have to lecture all of July in Zurich (second half of a course on 〈general〉 rela
tivity), thus unfortunately will not be able to be in G[öttingen].[4] As a series of
ideas, I admire Weyl’s theory very much.[5] But I do not think that it draws reality
closer. It seems to me unfounded to abandon the natural meaning of ds, considering
that one is forced to put the field equations as equations of the fourth order.[6] In
doing so, the summation from independent summands remains in the Hamiltonian
function.
With cordial regards, yours,
A. Einstein.
Rik
1
2
gikR 
–
1
 ,–=Rikg4ikTκ
–κ ϕσαJα g, ⋅
4

–1
∂
∂xα
(
δi
α
R –g) ⋅
1∂gik
2
( 
∂xα

gikR
–g), –
∂R –g
∂xα

R
∂ –g
∂xα
– –g
∂R
∂xα
