NHK 204 2 0 203 2 24 ( ) 7 00 7 50 203 2 25 ( ) 7 00 7 50 203 2 26 ( ) 7 00 7 50 203 2 27 ( ) 7 00 7 50 I. ( ν R n 2 ) m 2 n m, R = e 2 8πε 0 hca B =.09737 0 7 m ( ν = ) λ a B = 4πε 0ħ 2 m e e 2 = 5.2977 0 m
.2 ρ dv dt = ρk grad p + 3 η grad (divv) + η 2 v.3 divh = 0, rote + c H t = 0 dive = ρ, H = 0, E = ρ, roth c E t = c ρv E + H c t = 0 H c E t = c ρv Theory of Everything: 2 CERN L = ψi ψ g ψbψ 4 Bµν B µν g 2 ψwψ 4 Wµν W µν g 3 ψgψ 4 Gµν G µν + ψ i y ij ψ j ϕ + h.c. + D µ ϕ 2 V (ϕ) 2
2. ψı ψ e: ν: u: ( ) d: ( ) 2.. i t ψ = 2 2m x 2 ψ 2..2 x 2 + y 2 = r 2 2..3 y = px + nq, n Z (x a) 2 + (y b) 2 = x 2 + y 2 2ax 2by + a 2 + b 2 3
(t) (x 2 ) i t ψ = 2 2m x 2 ψ + v m x t ψ + 2..4 ħ =, c = iγ t ψ + i γ x ψ = mψ (iγ µ µ m) ψ (x) = 0, µ = 0,, 2, 3 µ x µ, ψ (x) = ψ (x) ψ 2 (x) ψ 3 (x). ψ 4 (x) ( ) γ µ 0 σ µ ) ) =, σ µ = (Î, ˆσj, σ µ = (Î, ˆσj σ µ 0 {γ µ, γ ν } γ µ γ ν + γ ν γ µ = 2η µν, η µν = g µν magnetic moment 4
L = ψi ψ ψmψ 2.2 g ψbψ 4 Bµν B µν g 2 ψwψ 4 Wµν W µν g 3 ψgψ 4 Gµν G µν + ψ i y ij ψ j ϕ + h.c. + D µ ϕ 2 V (ϕ) h.c.: there are additional terms which are the hermitian conjugate of the terms that have already been written 4 F µν F µν 5
2.2. L = ψi ψ ψmψ g ψaψ 4 F µν F µν (930) 948 (948) = 2.002393043 = 2.002393043 6
L = ψi ψ ψmψ g ψaψ 4 F µν F µν { } 950 P N +e 0 938.3MeV 939.6MeV P = (udd), N = (uud) u: d: (954) L = 4 f µν f µν ψγ µ ( µ iϵτ b µ )ψ m ψψ. 7
L = ψi ψ ψmψ g ψbψ 4 Bµν B µν g 2 ψwψ 4 Wµν W µν g 3 ψgψ 4 Gµν G µν 8
II 203 2 957 NY (957) β (e, ν, u, d) ψmψ e iβ ψl Mψ R + e iβ ψr Mψ L 9
960 (96) g 3 ψgψ g 3 (ūgu + dgd) u d m = 0 m = 0 m 0 0
u R u R + u L u L u R + u L dr + d L d R + d L g 2 ψwψ 960 W Z
W + W Z 979 (964) 203/0/8 CERN (967) 983 CERN W Z 2
3
III DAS WAHRE IST GOTTHNLICH U = M r ( J 2 R 2 3 cos 2 θ r 2 2 ) 3 ˆ Z = [DA] [Dψ] [Dϕ] [ ˆ [ exp i d 4 x 4 F µν F µν + ( i ψdψ + h.c. ) ]] + (ψ i y ij ψ j ϕ + h.c) + D µ ϕ 2 V (ϕ) 3. ˆ Z = ˆ [DA] [Dψ] [Dϕ] exp[i d 4 x 3.2 [ 4 F µν F µν + ( i ψdψ + h.c. ) ] + (ψ i y ij ψ j ϕ + h.c) + D µ ϕ 2 V (ϕ) 4
4 R µν 2 g µνr = κt µν }{{}}{{} µ, ν : R µν : g µν : R : κ : T µν : 4. ( ds 2 = 2GM ) rc 2 dt 2 + dr 2 2GM rc 2 2 + r ( dθ 2 + sin 2 θ dϕ 2) R αβγδ R αβγδ = 48G2 M 2 c 4 r 6 D istortion r 3 D : r : D istortion = 0 3 = 5
4.2 ˆ Z = [Dg] [DA] [Dψ] [Dϕ] [ ˆ exp i d 4 x [ g 2κ R 4 F µν F µν + ( i ψdψ + h.c. ) ]] + (ψ i y ij ψ j ϕ + h.c) + D µ ϕ 2 V (ϕ) ˆ i d 4 x [ g 2κ R 4 F µν F µν + ( i ψdψ + h.c. ) ] + (ψ i y ij ψ j ϕ + h.c) + D µ ϕ 2 V (ϕ) 0 = (936) 6
(974) ˆ d 2 σ h h αβ α X µ β X µ 2π M gravity r 2 0 r = 0 5 CALTEC ˆ Z = [ [Dg] [DA] [Dψ] [Dϕ] exp ˆ d 2 σ h [ h αβ α X µ β X µ i 2π ψ µ ρ α ] ] α ψ µ M ψ (σ, µ τ) = d µ ne in(τ σ) 2 n Z 7
L m = α µ 2 n mα µn + 4 n Z r G r = n Z α µ nψ µr n [L m, L n ] = (m n)l m+n + {G r, G s } = 2L r+s + c 2 (4r2 [L m, G r ] = m 2r G m+r 2 ˆ Z = { [Dg] [DX] [Dψ] exp ˆ d 2 σ h [ h αβ α X µ β X µ i 2π ψ µ ρ α ] } α ψ µ M 8
IV S = ˆ d 2 σ { α X µ α X µ i 2π ψ µ ρ α } α ψ µ M m = 0(const.) 4(dimension) 4 0 0 0 m = 0 0 4 = 0 (D = {t, x, y, z}) (D = 0) D = 9
δs = ˆ 2κ 2 d D x ( G) 2 e 2Φ 0 [ α ( δg µν β G µν + δb µν β B µν + 2δΦ ) (β 2 Gµν G δg ω µν ω 4β Φ)] ˆ Z = [Dg] [DA] [Dψ] [Dϕ] ˆ exp{i d 4 x g [ 2κ R + D µϕ 2 24κ e ϕ F µνρ F µνρ 4κ λγ µ D µ λ 4 F µνf µν 4 2κ χ µγ ν γ µ λ ν ϕ + 24 g 2 tr ( ψλ ρστ ψ ) 2 2g 2 e 2 ϕ tr 24κ χ µγ µνρ D ν χ ρ ( 2 ϕ + 8 ϕ2 48 ϕ3 + ) + ( i ψdψ + h.c. ) [ χ 96κ e 2 ϕ [µ γ µ γ ρστ γ ν γχ ν] ] 2 χ µ γ ρστ γ µ λ ) ( + 8 ϕ2 48 ϕ3 + F ρστ + (ψ i y ij ψ j ϕ + h.c) [( χ µ γ ρσ γ µ ψ ) ] λγ ρσ ψ F ρσ + ]} 2 F ρστ n = 496 (perfect number) 496 = + 2 + 4 + 8 + 6 + 3 + 62 + 24 + 248 + 2 + 2 2 + + 2 n S n S n 2 n 2 20
THE THEORY OF EVERYTHING (a Bohr 0 24 = 5.29 0 35 m) D ˆ d 2 σ h [ h αβ α X µ β X µ i 2π ψ µ ρ α ] α ψ µ M +iµ ρ ˆ ρ+ [ Tr exp (2πα F 2 + B 2 ) ] C 2
S = 4G A QH Q 2 F = 2π 2 M = K3 [ 2 Q 2 +] F S [ +] 2 Q2 F L 0 = 2 (H P ) = 0 c = 6k, L 0 = n, n d(n, l) exp ( 2π nc6 ) ( ) c = 6 2 Q2 F + n = Q H ( ) 2 S = ln d (Q F, Q H ) 2π Q H Q2F + QH Q 2 F 2π 2 2004 LIGO VLA CERN 22
M M Theory M 0 500 23