By Shapley H.

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**Sample text**

Which expresses the proportionality of the “already quantized” electromagnetic field tensor to the fundamental spin tensor of our unified field theory. In other words, e ψ −1 g[ik] . 27), we get the fundamental quantum relations (here we mean R = 0, ψ = 0): Fik = − 4 e m0 c2 R ψ g[ik] , 1 . 4): γij γ kj = δik . On the other hand, now we see that γir γ kr = γir γ rk = 1 k 1 δ + 2 i 2 m0 c2 e 2 m0 c2 e 1 k 1 δ + 2 i 4 ψFi·k − k ψ 2 Ri· , 1 4 m0 c2 e 2 k ψ 2 Ri· . Hence we get the following expression for the Ricci tensor: Rik = 4 e m0 c2 2 ψ −2 g(ik) .

15a), we see that 1 φ g[ik] F ik = R ψ . 2 1 1 φ g[ik] F ik = Fik F ik ψ . 2 4 The simplest solution for massive, electrically charged particles of this would then be Fik ψ = 2 φ g[ik] . ✷ψ = which expresses the proportionality of the “already quantized” electromagnetic field tensor to the fundamental spin tensor of our unified field theory. In other words, e ψ −1 g[ik] . 27), we get the fundamental quantum relations (here we mean R = 0, ψ = 0): Fik = − 4 e m0 c2 R ψ g[ik] , 1 . 4): γij γ kj = δik .

It has no classical analogue. 16) into its symmetric and alternating parts. 17a) may be interpreted as the tension of the spin field. 17b) represents a non-linear spin field. 18a) 1 (Si;j − Sj;i ) . 18b) can also be written A[ij] = Γk[ij] ψ,k . 19) Now Aij = −ψ;i;j − = − ψ;i;j 1 F k ξk 2 ·i 1 k 1 F ξk;i + F·jk Fki ψ = 2 ·j 4 1 1 − Rij ψ + F k ξk + F k ξk;i . 2 ·i ;j 2 ·j ;j − Therefore the Ricci tensor can be expressed as Rik = − 1 −1 r ψ F·k ξr|i − 2 − ψ −1 ψ;i;k + Si;k + 1 1 r (F ξr ) − F r ξr;i .

### A Short Period Cepheid with Variable Spectrum (1916)(en)(5s) by Shapley H.

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